Reduction Formulas for Generalized Hypergeometric Series Associated with New Sequences and Applications

Reduction Formulas for Generalized Hypergeometric Series Associated with New Sequences and Applications

In this paper, by introducing two sequences of <i>new</i> numbers and their derivatives, which are closely related to the Stirling numbers of the first kind, and choosing to employ six known generalized Kummer’s summation formulas for <inline-formula><math xmlns="http://www...

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Bibliographic Details
Main Authors: Junesang Choi, Mohd Idris Qureshi, Aarif Hussain Bhat, Javid Majid
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Fractal and Fractional
Subjects:
Gamma function
Psi function
Pochhammer symbol
hypergeometric function <sub>2</sub><i>F</i><sub>1</sub>
generalized hypergeometric functions <sub><i>t</i></sub><i>F</i><i><sub>u</sub></i>
Gauss’s summation theorem for <sub>2</sub><i>F</i><sub>1</sub>(1)
Online Access:https://www.mdpi.com/2504-3110/5/4/150

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