Dr. Lalit Mohan Upadhyaya
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Dr. Lalit Mohan Upadhyaya

Associate Professor
Municipal Post Graduate College, India

Highest Degree
Ph.D. in Mathematics from Kumaun University Nainital, Uttarakhand, India

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Biography

My current research interests include special functions of matrix arguments, multiple and basic hypergeometric series and their applications, special functions, integral transform and their applications including the Upadhyaya transform and its various potential applications, Orthogonal matrix polynomials and their applications, Complex analysis and its applications , etc.

Area of Interest:

Mathematics
100%
Matrix Arguments Functions
62%
Multiple Hypergeometric Series
90%
Hypergeometric Series Applications
75%
Orthogonal Matrix Polynomials
55%

Research Publications in Numbers

Books
0
Chapters
0
Articles
32
Abstracts
0

Selected Publications

  1. Upadhyaya, L.M., A. Shehata and A. Kamal, 2021. An update on the Upadhyaya transform. Bull. Pure Appl. Sci. Sect. E Math. Stat., 40e: 26-44.
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  2. Kalavathi, A., T. Kohila and L.M. Upadhyaya, 2021. On the degenerate Elzaki transform. Bull. Pure Appl. Sci. Sect. E Math. Stat., 40e: 99-107.
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  3. Aggarwal, S. and L.M. Upadhyaya, 2021. An application of the Laplace-Carson transform method for the solution of the generalized Abel’s integral equation. Bull. Pure Appl. Sci. Math. Stat., 40e: 155-163.
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  4. Upadhyaya, L.M., A. Shehata and A. Kamal, 2020. On the integral representations of some of the Horn's double and Srivastava's triple hypergeometric functions of matrix arguments. Bull. Pure Appl. Sci. Math. Stat., 39e: 149-164.
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  5. Upadhyaya, L.M., A. Shehata and A. Kamal, 2020. On the Exton’s triple hypergeometric function X2 of matrix argum. Bull. Pure Appl. Sci. Sect. E Math. Stat. 39e: 289-301.
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  6. Shehata, A., S.I. Moustafa, L.M. Upadhyaya and A. Kamal, 2020. On some generating relations involving generalized Humbert functions. Bull. Pure Appl. Sci. Math. Stat., 39e: 102-110.
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  7. Kamal, A., S.A. El-Hafeez, L.M. Upadhyaya and A. Shehata, 2020. Boundedness of composition operators on some analytic function spaces. Bull. Pure Appl. Sci. Math. Stat., 39e: 46-57.
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  8. Kamal, A., M.H. Eissa, L.M. Upadhyaya and A. Shehata, 2020. A new product of superposition and differentiation operators between Hardy and Zygmund spaces. Bull. Pure Appl. Sci. Sect. E Math. Stat., 39e: 193-205.
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  9. Upadhyaya, L.M., 2018. On the degenerate laplace transform-I. Bull. Pure Appl. Sci. Math. Stat. 37e: 1-8.
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  10. Mohan, U.L., 2017. On exton's triple hypergeometric functions of matrix arguments-ii. Bull. Pure Appl. Sci. Math. Stat., 36e: 207-217.
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  11. Shehata, A. and L.M. Upadhyaya, 2016. Some Relations Satisfied by Hermite-Hermite Matrix Polynomials. Mathematica Bohemica, (In Press). 10.21136/MB.2016.0001-15.
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  12. Upadhyaya, L.M. and A. Shehata, 2015. A new extension of generalized Hermite matrix polynomials. Bull. Malaysian Math. Sci. Soc., 38: 165-179.
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  13. Upadhyaya, L.M., 2013. The Srivastava Karlsson Triple Hypergeometric Function F1b of Matrix Arguments. Int. Trans. Math. Sci. Comput., 6: 83-89.
  14. Upadhyaya, L.M., 2013. On Some Relations for Horn`s Double Hypergeometric Function H2. Int. Trans. Appl. Sci., 5: 423-430.
  15. Upadhyaya, L.M. and H.S. Dhami, 2013. Exton`s Multiple Hypergeometric Functions of Matrix Arguments-III. Int. J. Spec. Functions Appl., 1: 59-68.
  16. Upadhyaya, L.M., 2012. Analytic Continuation Formulas and Recurrence Relations for the Srivastava Karlsson Function F1b. Int. Trans. Math. Sci. Comput., 5: 341-347.
  17. Upadhyaya, L.M., 2012. A Note on an Incomplete Lauricella Function of Matrix Arguments with Statistical Application. Int. Trans. Appl. Sci., 4: 785-792.
  18. Upadhyaya, L.M., 2011. Transformations for the Srivastava Karlsson Triple Triple Hypergeometric Function F1b. Int. Trans. Appl. Sci., 3: 651-658.
  19. Upadhyaya, L.M., 2011. Some Transformation Formulas for a Srivastava-Karlsson Triple Hypergeometric Function. Int. Trans. Math. Sci. Comput., 4: 187-192.
  20. Upadhyaya, L.M., 2011. Some Properties of Double Hypergeometric Functions of Matrix Arguments. Pan. Univ. Res. J., 62: 1-9.
  21. Upadhyaya, L.M., 2011. Remarks on Horn`s double hypergeometric functions of matrix arguments. Bull. Pure Appl. Sci., 30: 11-18.
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  22. Upadhyaya, L.M., 2011. Integral Representations for the Srivastava-Karlsson Triple Hypergeometric Function F1b. Int. Trans. Math. Sci. Comput., 4: 285-290.
  23. Upadhyaya, L.M. and H.S. Dhami, 2011. Humbert`s Functions of Matrix Arguments-II. Vijnana Parishad Anusandhan Patrika, .
  24. Upadhyaya, L.M. and H.S. Dhami, 2011. Generalized Srivastava`s Functions of Matrix Arguments. J. National Acad. Math., 2011: 15-24.
  25. Upadhyaya, L.M. and A. Shehata, 2011. On Legendre Matrix Polynomials and its Applications. Int. Trans. Math. Sci. Comput., 4: 291-309.
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  26. Upadhyaya, L.M., 2010. A summation formula for a horn`s double hypergeometric function-II. Bull. Pure Appl. Sci., 29: 275-282.
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  27. Upadhyaya, L.M., 2010. On a basic lauricella-saran triple hypergeometric function-I. Bull. Pure Appl. Sci. Math., 29: 175-181.
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  28. Upadhyaya, L.M. and H.S. Dhami, 2010. On Functions of a Single Matrix Argument-I. Bull. Pure Appl. Sci., 29: 65-72.
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  29. Upadhyaya, L.M. and H.S. Dhami, 2010. Generalized Horn`s functions of matrix arguments. Bull. Pure Appl. Sci. Math. Stat., 29: 343-354.
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  30. Upadhyaya, L.M. and H.S. Dhami, 2009. On an Exton`s Generalized Quadruple Hypergeometric Function of Matrix Arguments. Pan. Univ. Res. J., 59: 227-235.
  31. Upadhyaya, L.M. and H.S. Dhami, 2007. A Note on an Exton`s Generalized Quadruple Hypergeometric Function of Matrix Arguments -I. Vikram Math. J., 27: 137-144.
  32. Upadhyaya, L.M. and H.S. Dhami, 2003. Humbert`s functions of matrix arguments -I. AMS Math. Subj. Classification, 46: 329-335.