FRACTIONAL CALCULUS OPERATOR INVOLVING THE PRODUCT OF THE GAUSS HYPERGEOMETRIC FUNCTION AND WRIGHT GENERALIZED HYPERGEOMETRIC FUNCTION

Authors

  • Ram Niwas Meghwal, Sunil Kumar, Krishna Gopal Bhadana 1 Department of Mathematics, G. H. S. Government College, Sujangarh-331507 2, 3 Department of Mathematics, S. P. C. Government College, Ajmer Maharshi Dayanand Saraswati University, Ajmer, Rajasthan-305009, India Author

DOI:

https://doi.org/10.70849/IJSCI

Keywords:

Generalized Fractional Derivative Operators, Hypergeometric Function

Abstract

In the present paper, we introduce generalized fractional derivative operators and define Gauss hypergeometric function and Wright generalized hypergeometric function.
We derive explicit expressions for the Riemann–Liouville, and Saigo fractional-derivative operators acting on the product of the gauss hypergeometric function and wright generalized hypergeometric function. Special cases of our results recover known fractional-derivative formulas, uniting them within a single, cohesive framework.

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Published

08-08-2025

Issue

Vol. 2 No. 8 (2025): IJSCI VOLUME-02 ISSUE-08 AUGUST 2025

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

[1]
Ram Niwas Meghwal, Sunil Kumar, Krishna Gopal Bhadana, “FRACTIONAL CALCULUS OPERATOR INVOLVING THE PRODUCT OF THE GAUSS HYPERGEOMETRIC FUNCTION AND WRIGHT GENERALIZED HYPERGEOMETRIC FUNCTION”, Int. J. Sci. Inno. Eng., vol. 2, no. 8, pp. 53–73, Aug. 2025, doi: 10.70849/IJSCI.