11 citations · 15 across the 3 of their papers we have counts for
3 papers
math.CA2021★ 3 cited
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.CA2019★ 11 cited
Beyond the beta integral method: transformation formulas for hypergeometric functions via Meijer's G function
D. B. Karp, E. G. Prilepkina
The beta integral method proved itself as a simple nonetheless powerful method of generating hypergeometric identities at a fixed argument. In this paper we propose a generalizatio…
math.CA2014★ 1 cited
Parameter convexity and concavity of generalized trigonometric functions
D. B. Karp, E. G. Prilepkina
We study the convexity properties of the generalized trigonometric functions considered as functions of parameter. We show that and are log-concave…