3 citations · 8 across the 11 of their papers we have counts for
4 papers · 1 filter
On Meijer's function for
D. B. Karp, E. G. Prilepkina
The paper is devoted to the piece-wise analytic case of Meijer's function . While the problem of its analytic continuation was solved in principle by Meijer and…
Ratios of the Gauss hypergeometric functions with parameters shifted by integers: part I
Alexander Dyachenko, Dmitrii Karp
We consider the ratio of two Gauss hypergeometric functions with real parameters shifted by arbitrary integers. We find a formula for the jump of this ratio over the branch cut in…
A note on Fox's H function in the light of Braaksma's results
Dmitrii Karp
In our previous works we found a power series expansion of a particular case of Fox's function in a neighborhood of its positive singularity. An inverse factori…
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…