D. Karp

activity

20042024

most citedLog-convexity and log-concavity of hypergeometric-like functions

72 citations · 256 across the 31 of their papers we have counts for

collaborators

Showing 2021 · math.CVShow all

2 papers · 2 filters

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.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

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

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