An Asymptotic Series for the Weber--Schafheitlin Integral

被引：0

作者：

R. N. Miroshin

机构：

[1] St. Petersburg State University,

来源：

Mathematical Notes | 2001年 / 70卷

关键词：

Weber--Schafheitlin integral; Kontorovich--Lebedev transform; Gauss hypergeometric function; gamma-function; beta-function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain an asymptotic power series for the Weber--Schafheitlin integral whose coefficients are distributions.

引用

页码：682 / 687

页数：5

共 50 条

[21] Asymptotic Series for a Feynman Integral in the One-Dimensional Case
Semenova, T. Yu.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2020, 27 (01) : 126 - 136
[22] On the Dirichlet series and asymptotic expansions of integral functions of zero order
Littlewood, JE
BRITISH JOURNAL OF DERMATOLOGY AND SYPHILIS, 1943, 55 (07): : 209 - 262
[23] A COMPLEMENT OF WEBER INTEGRAL
ORTNER, N
GLASSER, ML
GROSJEAN, CC
RENARDY, M
SIAM REVIEW, 1990, 32 (04) : 683 - 684
[24] The asymptotic expansion of integral functions defined by Taylor's series.
Barnes, EW
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL OR PHYSICAL CHARACTER, 1906, 206 : 249 - 297
[25] The asymptotic expansion of integral functions defined by taylor series (Second paper)
Wright, E. M.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1941, 239 (804) : 217 - 232
[26] Weber's integral theorem
Titchmarsh, EC
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1924, 22 : 15 - 28
[27] On the Weber integral equation and solution to the Weber-Titchmarsh problem
Yakubovich, S.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 460 (01) : 400 - 410
[28] The asymptotic forms of the: Hermite and Weber functions
Schwid, Nathan
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1935, 37 (1-3) : 339 - 362
[29] DRESDEN REMEMBERS WEBER + WEBER-TAGE SERIES
WARRACK, J
OPERA, 1976, 27 (08): : 699 - 702
[30] ASYMPTOTIC-BEHAVIOR OF SOME INTEGRAL FUNCTIONS DEFINED BY COEFFICIENTS OF THEIR DEVELOPMENT INTO A MACLORAN SERIES
KOVALEVSKII, MA
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1976, (01): : 11 - 15

← 1 2 3 4 5 →