A reduction formula for the hypergeometric function 2F2(β, 1/2; β+σ, −1/2; z) using finite-part integrals
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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Physics 2.0.2022: Renormalizing uncertainties with Physics
19-21 October 2022, Legazpi City
Please visit the SPP2022 activity webpage for more information on this year's Physics Congress.