Gauss Hypergeometric Representations of the Ferrers Function of the Second Kind

We derive all eighteen Gauss hypergeometric representations for the Ferrers function of the second kind, each with a different argument. They are obtained from the eighteen hypergeometric representations of the associated Legendre function of the second kind by using a limit representation. For the...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Authors: Cohl, Howard S., Park, Justin, Volkmer, Hans
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211296
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Gauss Hypergeometric Representations of the Ferrers Function of the Second Kind. Howard S. Cohl, Justin Park and Hans Volkmer. SIGMA 17 (2021), 053, 33 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine