A reduction formula for the hypergeometric function ₂F₂(β, 1/2; β+σ, −1/2; z) using finite-part integrals

Authors

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

Abstract

The hypergeometric function ₂F₂(β, 1/2; β+σ, −1/2; z) is shown to assume a finite-part integral representation, from which a reduction formula for ₂F₂ is obtained in terms of the confluent hypergeometric function ₁F₁. The result demonstrates how finite-part integrals can be used to uncover new relationships among the special functions of mathematical physics.

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Issue

2022: Proceedings of the 40th Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2022-PB-05

Section

Poster Session B (Complex Systems, Simulations, and Theoretical Physics)

Published

2022-09-27

How to Cite

[1]

TM Estadilla and EA Galapon, A reduction formula for the hypergeometric function 2F2(β, 1/2; β+σ, −1/2; z) using finite-part integrals, Proceedings of the Samahang Pisika ng Pilipinas 40, SPP-2022-PB-05 (2022). URL: https://proceedings.spp-online.org/article/view/SPP-2022-PB-05.