22 citations · 59 across the 17 of their papers we have counts for
22 papers
A look at generalized trigonometric functions as functions of their two parameters and further new properties
Dmitrii Karp, Elena Prilepkina
Investigation of the generalized trigonometric and hyperbolic functions containing two parameters has been a very active research area over the last decade. We believe, however, th…
Generalized reduced modulus in Euclidean space
A. S. Afanaseva-Grigoreva, K. A. Gulyaeva, E. G. Prilepkina
In Euclidean space condensers with variable potential levels and the presence of a free part at the boundary are studied. The asymptotic formula of the modulus of such condenser is…
Hypergeometric with integral parameter differences
Dmitrii Karp, Elena Prilepkina
In this paper we continue investigation of the hypergeometric function as the function of its seven parameters. We deduce several reduction formulas for this function…
Optimal discrete Neumann energy in a ball and a circular ring
Elena Prilepkina, Anna Afanaseva-Grigoreva
In this paper, we prove some exact estimates for the discrete Neumann energy of a ball and a circular ring in Euclidean space for points located on circles. The proofs are based on…
On Meijer's function for
D. B. Karp, E. G. Prilepkina
The paper is devoted to the piece-wise analytic case of Meijer's function . While the problem of its analytic continuation was solved in principle by Meijer and…
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…