New identities involving Kummer and Gauss hypergeometric functions arising from finite part integration

Authors

Christian Dacoycoy Tica ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

By performing finite part integration of the generalized Stieltjes integral representation of the Kummer and Gauss hypergeometric functions, we were able to obtain their exact representations from which we derive special cases that are not tabulated in the literature and are not reproducible by symbolic computation on leading computer algebra systems such as Mathematica and Maple.

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Issue

2018: Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference

Building bridges and exploring frontiers
6-9 June 2018, Puerto Princesa City

Please visit the activity webpage for SPP2018 for more information on this year's conference.

Article ID

SPP-2018-1D-06

Section

Theoretical and Mathematical Physics

Published

2018-05-24

How to Cite

[1]

CD Tica and EA Galapon, New identities involving Kummer and Gauss hypergeometric functions arising from finite part integration, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-1D-06 (2018). URL: https://proceedings.spp-online.org/article/view/SPP-2018-1D-06.