D. Karp

activity

20172024

most citedNew identities for a sum of products of the Kummer functions

3 citations · 8 across the 13 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CV2021★ 2 cited

On Meijer's $G$ function $G_{p, p}^{m, n}$ for $m + n = p$

D. B. Karp, E. G. Prilepkina

The paper is devoted to the piece-wise analytic case of Meijer's $G$ function $G_{p, p}^{m, n}$ . While the problem of its analytic continuation was solved in principle by Meijer and…

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.CV2021★ 1 cited

Ratios of the Gauss hypergeometric functions with parameters shifted by integers: part I

Alexander Dyachenko, Dmitrii Karp

We consider the ratio of two Gauss hypergeometric functions with real parameters shifted by arbitrary integers. We find a formula for the jump of this ratio over the branch cut in…

On Meijer's G function Gp,pm,n​ for m+n=p

Hypergeometric Functions at Unit Argument: Simple Derivation of Old and New Identities

Ratios of the Gauss hypergeometric functions with parameters shifted by integers: part I

On Meijer's $G$ function $G_{p, p}^{m, n}$ for $m + n = p$