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math.CV2021★ 2 cited
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…
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.CV2016
Extremal decomposition problems for p-harmonic radius
Sergei Kalmykov, Elena Prilepkina
We extend classical results by Lavrent'ev and Kufarev concerning the product of the conformal radii of planar non-overlapping domains. We also extend relatively recent results for…