72 citations · 256 across the 31 of their papers we have counts for
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math.CA2019★ 11 cited
Beyond the beta integral method: transformation formulas for hypergeometric functions via Meijer's G function
D. B. Karp, E. G. Prilepkina
The beta integral method proved itself as a simple nonetheless powerful method of generating hypergeometric identities at a fixed argument. In this paper we propose a generalizatio…
math.CA2019
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…
math.CA2019
A new identity for a sum of products of the generalized hypergeometric functions
Dmitrii Karp, Alexey Kuznetsov
Reduction formulas for sums of products of hypergeometric functions can be traced back to Euler. This topic has an intimate connection to summation and transformation formulas, con…