Some new inequalities for the generalized Fox-Wright functions

Saima Naheed; Shahid Mubeen; Gauhar Rahman; M. R. Alharthi; Kottakkaran Sooppy Nisar; Saima Naheed; Shahid Mubeen; Gauhar Rahman; M. R. Alharthi; Kottakkaran Sooppy Nisar

doi:10.3934/math.2021322

AIMS Mathematics

2021, Volume 6, Issue 6: 5452-5464. doi: 10.3934/math.2021322

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Research article

Some new inequalities for the generalized Fox-Wright functions

1.
Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
2.
Department of Mathematics and Statistics, Hazara University Mansehra, Pakistan
3.
Department of Mathematics and Statistics, College of Science, Taif University, Taif 21944, Saudi Arabia
4.
Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia

Received: 03 December 2020 Accepted: 08 March 2021 Published: 15 March 2021
MSC : 33B15, 33B20, 15A39, 35A23

In this article, we establish the inequalities of the Redheffer-type involving generalized Fox-Wright function. Furthermore, as a consequence, new Redheffer-type inequalities for generalized hypergeometric functions and the four-parametric generalized Mittag-Leffler functions are also discussed by using the suitable values of exponents in generalized inequalities.
- generalized Fox-Wright function,
- RedHeffer-type inequalities,
- generalized hypergeometric function,
- generalized Mittag-Leffler function
Citation: Saima Naheed, Shahid Mubeen, Gauhar Rahman, M. R. Alharthi, Kottakkaran Sooppy Nisar. Some new inequalities for the generalized Fox-Wright functions[J]. AIMS Mathematics, 2021, 6(6): 5452-5464. doi: 10.3934/math.2021322

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Abstract

In this article, we establish the inequalities of the Redheffer-type involving generalized Fox-Wright function. Furthermore, as a consequence, new Redheffer-type inequalities for generalized hypergeometric functions and the four-parametric generalized Mittag-Leffler functions are also discussed by using the suitable values of exponents in generalized inequalities.

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