Abstract
We consider a certain definite integral involving the product of two classical hypergeometric functions having complicated arguments. We show the surprising fact that this integral does not depend on the parameters of the hypergeometric functions.
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References
Andrews G. E., Askey R., Roy R.: Special Functions. Cambridge University Press, Cambridge (1999)
Gradshteyn I. S., Ryzhik I. M.: Table of Integrals Series and Products, 6th edition. Academic Press, New York (2000)
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Research partially supported by the NKFIH (National Research, Development and Innovation Office) Grants No. K104183, K109789, K119528, ERC_HU_15 118946, and ERC-AdG Grant No. 321104
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Biró, A. Some integrals of hypergeometric functions. Acta Math. Hungar. 152, 58–71 (2017). https://doi.org/10.1007/s10474-017-0700-z
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DOI: https://doi.org/10.1007/s10474-017-0700-z