Unit-shift in arguments of transformed generalized hypergeometric functions: The case of ₄F₃(β, −1/2 , 1, 3/2; β+σ, 1/2 , 3; z)

Authors

Theodore M. Estadilla ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The function ₄F₃(β, −1/2 , 1, 3/2 ; β+σ, 1/2, 3; z) is shown to have a transformation equation in terms of ₂F₁(1−z), which is a unit-shift in argument. Subsequently, a new closed form expression for the ₄F₃ at unit argument is found.

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Issue

2023: Proceedings of the 41st Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2023-PC-02

Section

Poster Session C (Mathematical Physics, Optics, and Interdisciplinary Topics)

Published

2023-06-24

How to Cite

[1]

TM Estadilla and EA Galapon, Unit-shift in arguments of transformed generalized hypergeometric functions: The case of 4F3(β, −1/2 , 1, 3/2; β+σ, 1/2 , 3; z), Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-PC-02 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-PC-02.