Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Prilepkina, Elena"'
Autor:
Karp, Dmitrii, Prilepkina, Elena
In this paper we continue investigation of the hypergeometric function ${}_4F_3(1)$ as the function of its seven parameters. We deduce several reduction formulas for this function under additional conditions that one of the top parameters exceeds one
Externí odkaz:
http://arxiv.org/abs/2202.04388
In this paper, we prove some exact estimates for the discrete Neumann energy of a ball and a circular ring in Euclidean space for points located on circles. The proofs are based on dissymmetrization and analysis of the asymptotic behavior of the Diri
Externí odkaz:
http://arxiv.org/abs/2112.05850
Autor:
Bakhtin, Kirill1,2 (AUTHOR) bakhtin.ke@dvfu.ru, Prilepkina, Elena1 (AUTHOR) pril-elena@yandex.ru
Publikováno v:
Mathematics (2227-7390). Jun2024, Vol. 12 Issue 11, p1656. 17p.
Publikováno v:
SIGMA 17 (2021), 098, 25 pages
The main goal of this paper is to derive a number of identities for the generalized hypergeometric function evaluated at unity and for certain terminating multivariate hypergeometric functions from the symmetries and other properties of Meijer's $G$
Externí odkaz:
http://arxiv.org/abs/2105.05196
Autor:
Karp, Dmitrii, Prilepkina, Elena
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 transformations and its group property. Next, we use explicitly known transformat
Externí odkaz:
http://arxiv.org/abs/2009.13168
Autor:
Karp, Dmitrii, Prilepkina, Elena
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 functions in the summand. Its importance comes mostly from its role i
Externí odkaz:
http://arxiv.org/abs/1907.04597
Autor:
Karp, Dmitrii B., Prilepkina, Elena G.
In this paper we give several independent extensions of the Karlsson-Minton summation formula for the generalized hypergeometric function with integral parameters differences. In particular, we examine the "prohibited" values for the integer top para
Externí odkaz:
http://arxiv.org/abs/1806.03434
Autor:
Karp, Dmitrii B., Prilepkina, Elena G.
Important new transformations for the generalized hypergeometric functions with integral parameter differences have been discovered some years ago by Miller and Paris and studied in detail in a series of papers by a number of authors. These transform
Externí odkaz:
http://arxiv.org/abs/1806.00208
Autor:
Karp, Dmitrii B., Prilepkina, Elena G.
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 the coefficients in terms of the N{\o}rlund-Bernoulli polynomials and d
Externí odkaz:
http://arxiv.org/abs/1707.01734
Autor:
Kalmykov, Sergei, Prilepkina, Elena
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 the case of domains in the $n$-dimensional Euclidean space, $n \geq 3$
Externí odkaz:
http://arxiv.org/abs/1604.05230