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

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.
CrossRef | Direct Link |
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.
CrossRef | Direct Link |
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.
CrossRef | Direct Link |
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.
CrossRef | Direct Link |
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.
CrossRef | Direct Link |
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.
CrossRef | Direct Link |
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.
CrossRef | Direct Link |
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.
CrossRef | Direct Link |
Upadhyaya, L.M., 2018. On the degenerate laplace transform-I. Bull. Pure Appl. Sci. Math. Stat. 37e: 1-8.
CrossRef | Direct Link |
Mohan, U.L., 2017. On exton's triple hypergeometric functions of matrix arguments-ii. Bull. Pure Appl. Sci. Math. Stat., 36e: 207-217.
CrossRef | Direct Link |
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.
CrossRef | Direct Link |
Upadhyaya, L.M. and A. Shehata, 2015. A new extension of generalized Hermite matrix polynomials. Bull. Malaysian Math. Sci. Soc., 38: 165-179.
CrossRef | Direct Link |
Upadhyaya, L.M., 2013. The Srivastava Karlsson Triple Hypergeometric Function F_1b of Matrix Arguments. Int. Trans. Math. Sci. Comput., 6: 83-89.
Upadhyaya, L.M., 2013. On Some Relations for Horn`s Double Hypergeometric Function H₂. Int. Trans. Appl. Sci., 5: 423-430.
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.
Upadhyaya, L.M., 2012. Analytic Continuation Formulas and Recurrence Relations for the Srivastava Karlsson Function F_1b. Int. Trans. Math. Sci. Comput., 5: 341-347.
Upadhyaya, L.M., 2012. A Note on an Incomplete Lauricella Function of Matrix Arguments with Statistical Application. Int. Trans. Appl. Sci., 4: 785-792.
Upadhyaya, L.M., 2011. Transformations for the Srivastava Karlsson Triple Triple Hypergeometric Function F_1b. Int. Trans. Appl. Sci., 3: 651-658.
Upadhyaya, L.M., 2011. Some Transformation Formulas for a Srivastava-Karlsson Triple Hypergeometric Function. Int. Trans. Math. Sci. Comput., 4: 187-192.
Upadhyaya, L.M., 2011. Some Properties of Double Hypergeometric Functions of Matrix Arguments. Pan. Univ. Res. J., 62: 1-9.
Upadhyaya, L.M., 2011. Remarks on Horn`s double hypergeometric functions of matrix arguments. Bull. Pure Appl. Sci., 30: 11-18.
Direct Link |
Upadhyaya, L.M., 2011. Integral Representations for the Srivastava-Karlsson Triple Hypergeometric Function F_1b. Int. Trans. Math. Sci. Comput., 4: 285-290.
Upadhyaya, L.M. and H.S. Dhami, 2011. Humbert`s Functions of Matrix Arguments-II. Vijnana Parishad Anusandhan Patrika, .
Upadhyaya, L.M. and H.S. Dhami, 2011. Generalized Srivastava`s Functions of Matrix Arguments. J. National Acad. Math., 2011: 15-24.
Upadhyaya, L.M. and A. Shehata, 2011. On Legendre Matrix Polynomials and its Applications. Int. Trans. Math. Sci. Comput., 4: 291-309.
Direct Link |
Upadhyaya, L.M., 2010. A summation formula for a horn`s double hypergeometric function-II. Bull. Pure Appl. Sci., 29: 275-282.
Direct Link |
Upadhyaya, L.M., 2010. On a basic lauricella-saran triple hypergeometric function-I. Bull. Pure Appl. Sci. Math., 29: 175-181.
Direct Link |
Upadhyaya, L.M. and H.S. Dhami, 2010. On Functions of a Single Matrix Argument-I. Bull. Pure Appl. Sci., 29: 65-72.
Direct Link |
Upadhyaya, L.M. and H.S. Dhami, 2010. Generalized Horn`s functions of matrix arguments. Bull. Pure Appl. Sci. Math. Stat., 29: 343-354.
Direct Link |
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.
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.
Upadhyaya, L.M. and H.S. Dhami, 2003. Humbert`s functions of matrix arguments -I. AMS Math. Subj. Classification, 46: 329-335.