3 citations · 8 across the 13 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.CA2017★ 3 cited
New identities for a sum of products of the Kummer functions
S. I. Kalmykov, D. B. Karp
Recently, Feng, Kuznetsov and Yang discovered a very general reduction formula for a sum of products of the generalized hypergeometric functions (J. Math. Anal. Appl. 443(2016), 11…
math.CV2017
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…
math.CA2017★ 1 cited
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…