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arXiv · 2010.16093

Bailey-type factorizations for Horn functions

Carlo Verschoor
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Abstract

In this paper we are interested in extending Bailey's identity to other classical hypergeometric functions. Bailey's identity states that under a suitable choice of parameters, Appell's $F_4$ decomposes into a product of two ${}_2F_1$'s. We will show how Bailey-type factorizations can be found for Horn's hypergeometric functions $H_1, H_4$ and $H_5$.

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Carlo Verschoor. 2020-10-30. Bailey-type factorizations for Horn functions. https://arxiv.org/abs/2010.16093

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