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math.CA2023
Log-concavity and log-convexity of series containing multiple Pochhammer symbols
Dmitrii Karp, Yi Zhang
In this paper, we study power series with coefficients equal to a product of a generic sequence and an explicitly given function of a positive parameter expressible in terms of the…
math.CA2023
On digamma series convertible into hypergeometric series
Asena Çetinkaya, Dmitrii Karp
Series containing the digamma function arise when calculating the parametric derivatives of the hypergeometric functions and play a role in evaluation of Feynman diagrams. As these…