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Derivatives of Humbert confluent hypergeometric functions with respect to their parameters

Published 11 Apr 2021 in math.CA | (2104.05051v2)

Abstract: The main aim of the present work deals with the various derivatives to any order of the Humbert confluent hypergeometric functions with respect to the parameters is presented, believed to be new, by using the conception of the calculus. The present paper contains various properties and compact forms for the derivatives with respect to the parameters for the Humbert confluent hypergeometric functions. A few interesting new as well as certain related results are also discussed in the analysis of the properties.

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