72 citations · 256 across the 31 of their papers we have counts for
3 papers · 2 filters
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…
Completely monotonic ratios of basic and ordinary gamma functions
Christian Berg, Asena Cetinkaya, Dmitrii Karp
We investigate conditions for logarithmic complete monotonicity of product ratios of gamma and q-gamma functions whose arguments are linear functions of the variable. We give neces…
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…