1 citations · 1 across the 2 of their papers we have counts for
4 papers
The Fox-Wright function near the singularity and branch cut
Dmitrii Karp, Elena Prilepkina
The Fox-Wright function is a further extension of the generalized hypergeometric function obtained by introducing arbitrary positive scaling factors into the arguments of the gamma…
An inverse factorial series for a general gamma ratio and related properties of the Nørlund-Bernoulli polynomials
Dmitrii B. Karp, Elena G. Prilepkina
We find an inverse factorial series expansion for the ratio of products of gamma functions whose arguments are linear functions of the variable. We a give recurrence relation for t…
Applications of the Stieltjes and Laplace transform representations of the hypergeometric functions
D. B. Karp, E. G. Prilepkina
In our previous work we found sufficient conditions to be imposed on the parameters of the generalized hypergeometric function in order that it be completely monotonic or of Stielt…
Extremal decomposition problems for p-harmonic radius
Sergei Kalmykov, Elena Prilepkina
We extend classical results by Lavrent'ev and Kufarev concerning the product of the conformal radii of planar non-overlapping domains. We also extend relatively recent results for…