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arXiv · 1305.3113

Hypergeometric type functions and their symmetries

Jan Dereziński
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Abstract

We give a systematic and unified discussion of various classes of hypergeometric type equations: the hypergeometric equation, the confluent equation, the F_1 equation (equivalent to the Bessel equation), the Gegenbauer equation and the Hermite equation. In particular, we discuss recurrence relations of their solutions, their integral representations and discrete symmetries.

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Jan Dereziński. 2013-08-04. Hypergeometric type functions and their symmetries. https://doi.org/10.1007/s00023-013-0282-4

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