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math.CA2021
Hypergeometric Functions at Unit Argument: Simple Derivation of Old and New Identities
Asena Çetinkaya, Dmitrii Karp, Elena Prilepkina
The main goal of this paper is to derive a number of identities for the generalized hypergeometric function evaluated at unity and for certain terminating multivariate hypergeometr…
math.CA2020
Completely monotonic ratios of basic and ordinary gamma functions
Christian Berg, Asena Cetinkaya, Dmitrii Karp
We investigate conditions for logarithmic complete monotonicity of product ratios of gamma and q-gamma functions whose arguments are linear functions of the variable. We give neces…