Abstract
A reduction formula for a generalized hypergeometric \(_{p}F_{p}\) as the product of an exponential and a polynomial is considered. The explicit formula for \(p=1\) given in the literature in terms of Laguerre polynomials is extended to the case \(p=2\). As a by-product, a reduction formula for another \(_{2}F_{2}\) hypergeometric function is given, and also for a Kampé de Fériet function.
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Santander, J.L.G. A Note on Some Reduction Formulas for the Generalized Hypergeometric Function \(_{2}F_{2}\) and Kampé de Fériet Function. Results Math 71, 949–954 (2017). https://doi.org/10.1007/s00025-017-0654-z
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DOI: https://doi.org/10.1007/s00025-017-0654-z