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 2022 · math.CAShow all

2 papers · 2 filters

math.CA2022

Convergent expansions and bounds for the incomplete elliptic integral of the second kind near the logarithmic singularity

Dmitrii Karp, Yi Zhang

We find two series expansions for Legendre's second incomplete elliptic integral $E (λ, k)$ in terms of recursively computed elementary functions. Both expansions converge at every…

math.CA2022

Hypergeometric $_{4} F_{3} (1)$ with integral parameter differences

Dmitrii Karp, Elena Prilepkina

In this paper we continue investigation of the hypergeometric function $_{4} F_{3} (1)$ as the function of its seven parameters. We deduce several reduction formulas for this function…

Convergent expansions and bounds for the incomplete elliptic integral of the second kind near the logarithmic singularity

Hypergeometric 4​F3​(1) with integral parameter differences

Hypergeometric $_{4} F_{3} (1)$ with integral parameter differences