MY CURRICULUM VITAE
JUGAL KISHORE PRAJAPAT Associate Professor Email: jkp_0007@rediffmail.com Central University of Rajasthan jkprajapat@gmail.com Bander Sindiri-305801, Kishangarh jkprajapat@curaj.ac.in Dist.-Ajmer, Rajasthan, INDIA Ph. No.: +919414419109 Telefax No.: +911463238722
Employment: 1. April 2012- Till Date: Associate Professor at Central University of Rajasthan, Ajmer, Rajasthan 2. Aug. 2009- April 2012: Assistant Professor at Central University of Rajasthan, Ajmer, Rajasthan 3. Sept. 2008- July 2009: Assistant Professor at Bhartiya Institute of Engineering and Technology, Rajasthan 4. Sept. 2002- Sept. 2008: Assistant Professor, Lecturer (senior scale) and Lecturer at Sobhasaria Engineering College, Rajasthan 5. Aug. 2000- Sept. 2002: Lecturer at Stani Memorial College of Engineering and Technology, Rajasthan Education: 1. 2003-2007: Ph.D. in Mathematics from university of Rajasthan 2. 1996-1998: M.Sc. in Mathematics from university of Rajasthan with 70.8% marks 3. 1993-1996: B. Sc. in Mathematics from M. D. S. University, Ajmer with 70.69% marks Research:
Research Interests: Geometric Function Theory, Complex Inequalities, Fractional
Calculus and Special Functions
Research Projects:
1. UGC Minor Research Project titled “Investigation of Geometric Properties of Certain Classes of analytic functions”. 2. Project titled “Investigation of geometric properties of hypergeometric functions, generalized Bessel functions and their applications” submitted to the DST under the scheme “SERC Fast Track Scheme for Young Scientists”. Research Publications: 1. J. K. Prajapat, R. K. Raina and J. Sokol, On a Hurwitz-Lerch zeta type function and its applicatons to certain classes of analytic functions, Bulletin of the Belgian Mathematical Society -Simon Stevin, To appear (Impact Factor: 0.397, ISSN: 1370-1444, Abstracted/ Indexed and reviewed by Scopus, Mathematical Review , Science Citation Index, Zentralblatt Math. and Google Scholar). 2. J. K. Prajapat and Ambuj Mishra, Sufficient conditions for certain subclasses of meromorphic multivalent functions, Bulletin of Mathematical Analysis and Applications, To appear (ISSN: 1821-1291, Abstracted/Indexed and reviewed by Scopus, Mathematical Review and Zentralblatt Math.). 3. Poonam Sharma, J.K. Prajapat and R.K. Raina, Certain Subordination results involving a generalized multiplier transformation operator, Journal of Classical Analysis, To appear (ISSN: 1848-5979, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar). 4. J. K. Prajapat and Ritu Agarwal, Some results on certain class of analytic functions based on differential subordination, Bulletin of the Korean Mathematical Society, 50(1)(2013), 1–10 (Impact Factor: 0.244, ISSN: 1015-8634, Abstracted/ Indexed and reviewed by Scopus, Mathematical Review , Science Citation Index, Zentralblatt Math. and Google Scholar). 5. J. K. Prajapat and Teoder Bulboaca, Double subordination preserving properties for a new generalized Srivastava-Attiya integral operator, Chinese Annals of Mathematics, Series B, 33(4)(2012) 569-582 (Impact Factor: 0.521, ISSN: 0252-9599, Abstracted/ Indexed and reviewed by Scopus, Mathematical Review , Science Citation Index, Zentralblatt Math. and Google Scholar). 6. J. K. Prajapat, Inclusion properties for certain class of analytic functions involving multiplier transformation operator, Journal of Classical Analysis, 1(2012) 35-42 (ISSN: 1848-5979, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar). 7. J. K. Prajapat and M. K. Aouf, Majorization problem for certain class of p-valently analytic function defined by generalized fractional differintegral operator, Computers and Mathematics with Applications, 63 (2012) 42–47 (Impact Factor: 1.747, ISSN: 0898-1221, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Science Citation Index, Zentralblatt Math. and Google Scholar). 8. J. K. Prajapat, Subordination and superordination preserving properties for generalized multiplier transformation operator, Mathematical and Computer Modelling, 55 (2012), 1456-1465 (Impact Factor: 1.346, ISSN: 0895-7177, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Science Citation Index, Zentralblatt Math. and Google Scholar). 9. J. K. Prajapat, R. K. Raina and J. Sokol, Dependence conditions for analytic functions under fractional differintegral operators, Mathematical Science Research Journal, 15(12)(2011), 333-340 (ISSN: 1537-5978, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar). 10. J. K. Prajapat, Certain geometric properties of normalized Bessel functions, Applied Mathematics Letters, 24 (2011) 2133–2139 (Impact Factor: 1.371, ISSN: 0893-9659, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Science Citation Index, Zentralblatt Math. and Google Scholar). 11. J. K. Prajapat and R. K. Raina, On a certain subordination results and its generalizations, Bulletin of Mathematical Analysis and Applications, 3(1) (2011), 116-120 (ISSN: 1821-1291, Abstracted/Indexed and reviewed by Scopus, Mathematical Review and Zentralblatt Math.). 12. J. K. Prajapat and R. K. Raina, Sufficient Conditions of Starlikeness for Fractional Differential Operator, Demonstratio Mathemaica, XLIII (4) (2010), 805-813 (ISSN: 0420-1213, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Science Citation Index, Zentralblatt Math. and Google Scholar). 13. J. K. Prajapat and R. K. Raina, Some results on certain classes of multivalently analytic functions based on differential subordination involving a convolution structure, Mathematica Slovaca, 60(4)(2010), 471-484 (Impact Factor: 0.269, ISSN: 0139-9918, Indexed and/or abstracted in Scopus, Mathematical Reviews, Science Citation Index Expanded and Zentralblatt Math. ). 14. J. K. Prajapat and R. K. Raina, On subordination results for certain classes of analytic functions with a convolution structure, Mathematica Scandinavica, 106(2)(2010), 250-266 (Impact Factor: 0.467, ISSN: 0025-5521, Indexed and/or abstracted in Scopus, Mathematical Reviews, Science Citation Index Expanded and Zentralblatt Math.). 15. J. K. Prajapat, Some sufficient conditions for certain class of analytic and multivalent function, Southeast Asian Bulletin of Mathematics, 34 (2010), 357-363 (ISSN:0129-2021, Indexed and/or abstracted in Scopus, Mathematical Reviews and Zentralblatt Math.) . 16. J. K. Prajapat and R. K. Raina, Some applications of differential subordination to a general class of multivalently analytic functions involving a convolution structure, Mathematics Journal of Okayama University, 52(2010), 147-158 )(ISSN: 0030-1566, Indexed and/or abstracted in Scopus, Mathematical Reviews, Science Citation Index Expanded and Zentralblatt Math.). 17. J. K. Prajapat and R. K. Raina, Certain Subclasses of Analytic Functions Involving Salagean Operator, Italian Journal of Pure and Applied Mathematics, 27(2010), 91-98 (ISSN: 1126-8042, Abstracted/Indexed and reviewed by Scopus, Mathematical Reviews Science Citation Index Expanded and Zentralblatt Math.). 18. J. K. Prajapat and S. Kant, Some generalized inequalities Involving the q-Gamma function, Journal of Inequalities in Pure and Applied Mathematics, 10(4)(2009), Article 120, pp. 1-4 (ISSN: 1443-5756, Abstracted/Indexed and reviewed by Scopus, Mathematical Review and Zentralblatt Math.). 19. J. K. Prajapat, Some Inclusion properties for Certain Subclasses of Strongly Starlike and Strongly Convex Functions associated with the Dziok-Srivastava operator, Tamsui Oxford Journal of Mathematical Sciences, 25(4), 2009, 393-405 (ISSN: 1561-8307, Abstracted/Indexed and reviewed by Scopus, Mathematical Review and Zentralblatt Math.). 20. J. K. Prajapat and R. K. Raina, Subordination results for certain classes of multivalently analytic functions with a convolution structure, East Asian Mathematical Journal, 25(2) (2009), 1-14 (ISSN: 1226-6973, Abstracted/ Indexed and reviewed by Scopus, Mathematical Review, Science Citation Index Expanded and Zentralblatt Math.). 21. R. K. Raina and J. K. Prajapat, On a certain new subclass of multivalently analytic functions, Mathematica Balkanica, 23 (2009), Fasc. 1-2, 97-110 (ISSN: 0205-3217, Abstracted/Indexed and reviewed by Scopus, Mathematical Review , Science Citation Index Expanded and Zentralblatt Math.). 22. J. K. Prajapat and R. K. Raina, Certain results on differential subordinations for some classes of multivalently analytic functions associated with the convolution structure, Bulletin of the Belgium Mathematical Society – Simon Stevin, 16(1)(2009), 153-165 (Impact Factor: 0.397, ISSN: 1370-1444, Abstracted/ Indexed and reviewed by Scopus, Mathematical Review , Science Citation Index Expanded and Zentralblatt Math.). 23. J. K. Prajapat and S. P. Goyal, Applications of Srivastava- Attiya operator to the class of strongly starlike and strongly convex functions, Journal of Mathematical Inequalities, 3(1)(2009), 129-137 (ISSN: 1846-579X, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Science Citation Index Expanded and Zentralblatt Math.). 24. J. K. Prajapat and R. K. Raina, Subordination theorem for a certain subclass of analytic functions involving a linear multiplier operator, Indian Journal of Mathematics, 51(2)(2009), 267-276 (ISSN: 0019-5324, Abstracted/Indexed and reviewed by Scopus, Mathematical Review and Zentralblatt Math.). 25. S. P. Goyal and J. K. Prajapat, A new class of meromorphic multivalent functions involving certain linear operators, Tamsui Oxford Journal of Mathematical Sciences, 25(2), 2009, 167-178 (ISSN: 1561-8307, Abstracted/ Indexed and reviewed by Scopus, Mathematical Review and Zentralblatt Math.). 26. J. K. Prajapat and R. K. Raina, Some applications of differential subordination to a general class of multivalently analytic functions involving a convolution structure, Bulletin of Mathematical Analysis and Applications, 1(1)(2009), 1-14 (ISSN:1821-1291, Abstracted/Indexed and reviewed by Scopus, Mathematical Review and Zentralblatt Math.). 27. J. K. Prajapat, Inclusion and neighborhood properties for certain subclasses of analytic involving fractional calculus operators, Bulletin Pure and Applied Mathematics, 3(2) (2009), 170-174 (ISSN: 0973-5933, Abstracted/Indexed and reviewed by Scopus, Mathematical Review and Zentralblatt Math.). 28. J. K. Prajapat, Subordination theorem for a family of analytic functions associated with the convolution structure, Journal of Inequalities in Pure and Applied Mathematics, 9(4)(2008), Article 102, 8 pp. (ISSN: 1443-5756, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar). 29. J. K. Prajapat, Inclusion and neighborhood properties for certain subclasses of analytic functions involving fractional calculus operators, Mathematical Science Research Journal, 12(7)(2008), 159-163 (ISSN: 1537-5978, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar). 30. J. K. Prajapat and R. K. Raina, Inclusion and neighborhood properties for certain classes of multivalently analytic functions associated with the convolution structure, International Journal of Mathematics and Mathematical Sciences, Volume 2008, Article ID 312582 (2008), 9 pp (ISSN: 0161-1712, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Science Citation Index Expanded, Zentralblatt Math. and Google Scholar). 31. J. K. Prajapat, Inclusion properties for certain classes of analytic functions involving a family of fractional calculus operators, Fractional calculus and Applied Analysis, 11(1)(2008), 25-31 (ISSN: 1311-0454, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Science Citation Index Expanded, Zentralblatt Math. and Google Scholar). 32. S. Kant and J. K. Prajapat, On double inequalities involving the Gamma function, Journal of Rajasthan Academy of Physical Sciences, 7(2) (2008), 197-200 (ISSN: 0972-6306, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar). 33. J. K. Prajapat, Neighborhood properties for certain subclasses of analytic functions involving Wright generalized hypergeometric functions, Bulletin Pure and Applied Mathematics, 2 (1) (2008), 57-62 (ISSN: 0973-5933, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar). 34. J. K. Prajapat, R. K. Raina and H. M. Srivastava, Some inclusion properties for certain classes of strongly starlike and strongly convex functions involving a family of fractional integral operators, Integral Transforms and Special Functions, 18(9)(2007), 639-651 (Impact Factor: 0.751, ISSN: 1065-2469, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Science Citation Index, Zentralblatt Math. and Google Scholar). 35. J. K. Prajapat, R. K. Raina and H. M. Srivastava, Inclusion and neighborhood properties for certain classes of multivalently analytic functions associated with the convolution structure, Journal of Inequalities in Pure and Applied Mathematics, 8(1)(2007), Article 7, 8 pp. (ISSN: 1443-5756, Abstracted /Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar). 36. S. P. Goyal and J. K. Prajapat, Inclusion and neighborhood properties for certain classes of analytic and multivalent functions of complex order involving generalized linear operator, Journal of Rajasthan Academy of Physical Sciences, 6 (2007), 117-126 (ISSN: 0972-6306, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar). 37. S. P. Goyal and J. K. Prajapat, Certain Results for Unified Riemann Zeta function, Bulletin Pure and Applied Mathematics, 1 (1) (2007), 6-14 (ISSN: 0973-5933, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar) 38. S. P. Goyal and J. K. Prajapat, Finite Integrals involving a general sequence of functions and H-function, Acta Ciencia Indica, XXXI M(1) (2005), 85-92 (ISSN: 0970-0455, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar) 39. S. P. Goyal and J. K. Prajapat, A new class of Analytic p-valent Functions with negative coefficients and fractional calculus operators, Tamsui Oxford Journal of Mathematical Sciences, 20(2) (2004), 175-186 (ISSN: 1561-8307, Abstracted/Indexed and reviewed by Scopus, Mathematical Review and Zentralblatt Math.). 40. S. P. Goyal and J. K. Prajapat, A note on Raina - Nahar multivariable functions, South East Asian Journal of Mathematics and Mathematical Sciences, 2(2)(2004), 31-36 (ISSN: 1561-8307, Abstracted/Indexed and reviewed by Scopus, Mathematical Review and Zentralblatt Math.). 41. S. P. Goyal and J. K. Prajapat, Certain formulas for Unified Riemann Zeta and related functions, Journal of Rajasthan Academy of Physical Sciences, 3(4)(2004), 267-274 (ISSN: 0972-7752, Abstracted/Indexed and reviewed by Scopus, Mathematical Review, Zentralblatt Math. and Google Scholar). 42. J. K. Prajapat and S. P. Goyal, New class of Analytic functions involving certain fractional differ-integral operators, Proceedings of fourth Annual Conference of the Society for Special Functions and Their Applications, Feb 20-22, 2003 (2003), Jaipur, India. Citation indices of Research Publications (Source: Google Scholar): 1. Total citations : 83 2. H-index : 5 3. i10- index: 3 International and National Research Collaborations: 1. Prof. H. M. Srivastava, University of Victoria, Canada 2. Prof. T. Bulboaca, Babes-Bolyai University, Romania 3. Prof. J. Sokol, Rzeszow University of Technology, Poland 4. Prof. M. K. Aouf, Mansoura University, Egypt 5. Prof. S. P. Goyal, University of Rajasthan 6. Prof. R. K. Raina, M. P. University of Agriculture & Technology, Udaipur Reviewer & Referee: 1. Reviewer for Mathematical Reviews (American Mathematical Society) 2. Referee of several journals including 1. Computers and Mathematics with Applications, Elsevier 2. Applied Mathematics and Computation, Elsevier 3. Applied Mathematics Letters, Elsevier 4. Acta Mathematica Scientia, Elsevier 5. International Journal of Mathematics and Mathematical Sciences, Hindawi Publ. Corp. 6. Abstract and Applied Analysis, Hindawi Publ. Corp. 7. International Journal of Analysis, Hindawi Publ. Corp. 8. Hacettepe Journal of Mathematics and Statistics, Hacettepe University, Turkey. 9. Bulletin of Mathematical Analysis and Applications, University of Prishtina, Kosova 10. Proceedings of Pakistan Academy of Science (Mathematical Sciences), Pakisthan 11. Fizika A&B, Croatian Physical Society 12. Applied Mathematics & Information Sciences, Baharian 13. International Journal of Mathematics and Statistics, India 14. Journal of Classical Analysis, Ele Math Publ., Croatia 15. Journal of Mathematical Inequalities, Ele Math Publ., Croatia 16. Journal of Rajasthan Academy of Physical Sciences, India Professional Development activities:
Organization of conferences and workshops:
1. National Seminar on “Advances in Complex Analysis and Special Functions”, March 12-13, 2011 at Central University of Rajasthan. 2. AICTE sponsored summer school on “Instructional Planning and delivery” 14-25 July 2008, at Sobhasaria Engineering College. 3. Organising a Workshop “Complex Analysis and related topics”, 15-19 March 2012 at Central University of Rajasthan. 4. Organising a Summer School on “Advanced Complex Analysis”, 24th June 2013 to 13th July 2013 at Central University of Rajasthan. Participation in Conference Training/Workshop/Seminar: 1. International Conference “The Legacy of Srinavasa Ramanujan”, University of Delhi, 17-22 Dec. 2012. 2. National Mathematical Meeting “Almora Mathematical Surveys”, Kumaun University, Almora, 3-5 Sept. 2012. 3. Advanced Training in Mathematics for Lectures in “Geometric Complex Analysis”, March 21-April 2, 2011 at Delhi University. 4. 76th Annual Conference of the Indian Mathematical Society, 27-30 Dec. 2010 at SVNIT, Surat. 5. 12th International Conference of the International Academy of Physical Sciences, 22-24 Dec. 2010 at University of Rajasthan, Jaipur. 6. 21st Annual Conference of Rajasthan Ganita Parishad on Recent Trends in Mathematics and Actuarial Sciences, 20-21 Feb. 2010 at MNIT, Jaipur. 7. Faculty Development Programme, Sobhasaria Engineering College, 2nd Feb. 2008-16th Jan. 2008. 8. International Conference of the Society for Special Functions and their Applications, 15-16 Dec. 2007 at MNIT, Jaipur. 9. Faculty Development Programme on Teaching and Learning, Sobhasaria Engineering College, Aug.-Nov., 2006. 10. Short term progremme on Quality Assurance in Technical Education, National Institute of Technical Teacher’s Training and Research, Chandigarh, May 2-6, 2005. 11. 70th Annual Conference of the Indian Mathematical Society, 26-29 Dec. 2004 at JNV University, Jodhpur. 12. 5th Annual Conference of the Society for Special Functions and their Applications, 8-11 Feb. 2004 at Lucknow. 13. 4th Annual Conference of the Society for Special Functions and their Applications, 20-22 Feb. 2003 at University of Rajasthan, Jaipur. 14. Short term training programme on “Development of communications skills for technical students: An interactive approach”, 29 Oct - 3 Nov, 2003 at IET, Alwar. Invited Lectures: • Delivered an interactive session on “Ramanujan Mathematics” at the Workshop “Ramanujan Mathematics Awareness Programme”, 9th March 2013 at Global Technical Campus, Jaipur. • Delivered a series of lectures at Dungar College, Maharaja Ganga Singh University, Bikaner on “Recent Developments in the field of Geometric Function Theory”, 21-22 Feb. 2012. • Delivered Invited Lecture at Marudhar Engineering College, Bikaner on “Application of Complex Analysis”, 22 Feb. 2012.
Post Graduate thesis supervision: S. No. Name of student Title of Thesis Year of Completion 1 Sanjay Lamba An Overview of Kratzel function and some of its generalizations 2011 2 Sandeep Bhaskar Mitang-Lifler function and its generalizations 2012 3 Rubal Rajora New aspects of H-functions and its generalizations 2012
Membership of professional and academic societies: 1. Academic Council of the Central University of Rajasthan, Rajasthan 2. Research Group in Mathematical Inequalities and Applications, Australia 3. Indian Mathematical Society 4. Ramanujan Mathematical Society 5. Society for Special Functions and their Applications 6. Rajasthan Ganita Parishad Administrative Experience: 1. Convener (Mess Committee), CURAJ 2. Head of Department, BIET Sikar 3. Chief Procter, BIET Sikar 4. In-charge Examinations, BIET Sikar 5. Coordinator Time-Table, SEC Sikar 6. Member Examination committee, SEC Sikar 7. Hostel Warden, SMCET, Phagi, Jaipur
