Recursion formulas for certain quadruple hypergeometric functions-Reference-Cited by-同舟云学术

Recursion formulas for certain quadruple hypergeometric functions

Published:2021-09-06 Issue:1 Volume:2021 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Younis Jihad,Verma Ashish,Aydi Hassen^ORCID,Nisar Kottakkaran Sooppy,Alsamir Habes

Abstract

AbstractA remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors. In this paper, we introduce five new hypergeometric functions in four variables and then establish several recursion formulas for these new functions. Some interesting particular cases and consequences of the main results are also considered.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-021-03561-z.pdf

Reference30 articles.

1. Agarwal, P.: Certain properties of the generalized Gauss hypergeometric functions. Appl. Math. Inf. Sci. 8(5), 2315–2320 (2014)

2. Agarwal, P., Chand, M., Purohit, S.D.: A note on generating functions involving the generalized Gauss hypergeometric functions. Nat. Acad. Sci. Lett. 37(5), 457–459 (2015)

3. Rahman, G., Nisar, K.S., Arshad, M.: A new extension and applications of Caputo fractional derivative operator. Analysis 41(1), 1–11 (2021)

4. Saboor, A., Rahman, G., Anjum, Z., Nisar, K.S., Araci, S.: A new extension of Srivastava’s triple hypergeometric functions and their associated properties. Analysis 41(1), 13–24 (2021)

5. Agarwal, P., Younis, J.A., Kim, T.: Certain generating functions for the quadruple hypergeometric series $K_{10}$. Notes Number Theory Discrete Math. 25, 16–23 (2019)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Integral transforms involving a generalized k-Bessel function;Demonstratio Mathematica;2023-01-01

2. Some Integrals Involving Meijer’s and Hypergeometric Functions Using the Coherent State Technique;Mathematical Problems in Engineering;2022-10-19

3. A subclass of meromorphic Janowski-type multivalent q-starlike functions involving a q-differential operator;Advances in Continuous and Discrete Models;2022-01-19