Specialization of Appell's functions to univariate hypergeometric functions
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Publication:1018342
DOI10.1016/J.JMAA.2009.01.047zbMATH Open1169.33003arXiv0804.0655OpenAlexW1802466452MaRDI QIDQ1018342
Author name not available (Why is that?)
Publication date: 19 May 2009
Published in: (Search for Journal in Brave)
Abstract: Univariate specializations of Appell's hypergeometric functions F1, F2, F3, F4 satisfy ordinary Fuchsian equations of order at most 4. In special cases, these differential equations are of order 2, and could be simple (pullback) transformations of Euler's differential equation for the Gauss hypergeometric function. The paper classifies these cases, and presents corresponding relations between univariate specializations of Appell's functions and univariate hypergeometric functions. The computational aspect and interesting identities are discussed.
Full work available at URL: https://arxiv.org/abs/0804.0655
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