Fractional Calculus Pertaining to Generalized H -Functions

Authors

  • Dr. Dinesh Kumar

  • Dr. Jitendra Daiya

fractional calculus, multivariable H-function, I-function, general class of polynomials, mellin transform

Abstract

This paper is devoted to study of a pair of unified and extended fractional integral operators involving the multivariable H-Function, I-Function and general class of polynomials. Mellin transforms of these operators are investigated. Further, some properties of these operators have also been investigated. On account of the general nature of the functions involved herein, a large number of fractional integral operators involving simpler functions can be obtained as special cases of our main results.

How to Cite

Fractional Calculus Pertaining to Generalized H -Functions. (2014). Global Journal of Science Frontier Research, 14(18), 25-35. https://journalofscience.org/index.php/GJSFR/article/view/

Author Biographies

Dr. Dinesh Kumar

Dr. Dinesh Kumar, also known as Dr. Dinesh Choudhary, is an academic based in India affiliated with Jai Narain Vyas University and Pratap University, Jaipur. His work involves fractional calculus, Mittag-Leffler functions, and generalized H-functions. He has published research papers in the Global Journal of Science Frontier Research and serves as a reviewer for the journal.

Dr. Jitendra Daiya

Dr. Dinesh Kumar is an academic affiliated with Jai Narain Vyas University and Pratap University, Jaipur, India. He specializes in fractional calculus and mathematical analysis.

References

to -function, Soochow Mathematics (2007) 33(2), 211-221.

Fractional Calculus Pertaining to Generalized H -Functions

Published

2014-05-13

How to Cite

Fractional Calculus Pertaining to Generalized H -Functions. (2014). Global Journal of Science Frontier Research, 14(18), 25-35. https://journalofscience.org/index.php/GJSFR/article/view/