2 citations · 5 across the 7 of their papers we have counts for
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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…
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…
Transformations of the hypergeometric 4F3 with one unit shift: a group theoretic study
Dmitrii Karp, Elena Prilepkina
We study the group of transformations of 4F3 hypergeometric functions evaluated at unity with one unit shift in parameters. We reveal the general form of this family of transformat…
Further applications of the G function integral method
M. A. C. Candezano, D. B. Karp, E. G. Prilepkina
In our recent work we proposed a generalization of the beta integral method for derivation of the hypergeometric identities which can by analogy be termed "the G function integral…
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…
Alternative approach to Miller-Paris transformations and their extensions
D. B. Karp, E. G. Prilepkina
Miller-Paris transformations are extensions of Euler's transformations for the Gauss hypergeometric functions to generalized hypergeometric functions of higher-order having integra…