Derivatives of Horn's hypergeometric functions G1, G2, Γ1, and Γ2 with respect to their parameters

We establish the nth-order derivatives of Horn hypergeometric functions G1, G2, Γ1, and Γ2 with respect to the parameters. We discuss applications to the calculation of recursion formulas and contiguous relations. © 2023 Elsevier Inc. All rights reserved.

Authors
Agarwal P. , Shehata A. , Moustafa S.I. , Jain S.
Collection of articles
Fractional Order Systems and Applications in Engineering
Publisher
Elsevier
Language
English
Pages
353-374
Status
Published
DOI
10.1016/B978-0-32-390953-2.00027-X
Year
2022
Organizations
  • 1 Department of Mathematics, Anand International College of Engineering, Jaipur, India
  • 2 Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates
  • 3 Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 4 Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
  • 5 Department of Mathematics, College of Science and Arts, Qassim University, Qassim, Unaizah, Saudi Arabia
  • 6 Department of Mathematics, Poornima College of Engineering, Jaipur, India
Keywords
Contiguous relations; Horn functions; Recursion formulas
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