Mellin transforms and algebraic functions

被引：2

作者：

Antipova, I. A. ^{[1
]}

Zykova, T. V. ^{[1
]}

机构：

[1] Siberian Fed Univ, Dept Appl Math & Comp Secur, Krasnoyarsk 660041, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2015年 / 26卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

Mellin transform; Mellin-Barnes integral; algebraic equation; algebraic function;

D O I：

10.1080/10652469.2015.1050390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with Mellin-Barnes integral, representing solution to the nth degree algebraic equation. We prove convergence of this integral in the boundary points of its convergence domain. The cases of tetranomial and pentanomial equations are completely studied.

引用

页码：753 / 767

页数：15

共 50 条

[21] GENERALIZED MELLIN TRANSFORMS I
冯康
[J]. Science in China,Ser.A., 1958, Ser.A.1958 (06) - 605
[22] MELLIN TRANSFORMS OF WHITTAKER FUNCTIONS ON GL(4,R) AND GL(4,C)
STADE, E
[J]. MANUSCRIPTA MATHEMATICA, 1995, 87 (04) : 511 - 526
[23] RESIDUE INTEGRALS AND THEIR MELLIN TRANSFORMS
PASSARE, M
TSIKH, A
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1995, 47 (05): : 1037 - 1050
[24] Inversion of multidimensional Mellin transforms
Antipova, I. A.
[J]. RUSSIAN MATHEMATICAL SURVEYS, 2007, 62 (05) : 977 - 979
[25] MELLIN TRANSFORMS AND CORRELATION DIMENSIONS
BESSIS, D
SERVIZI, G
TURCHETTI, G
VAIENTI, S
[J]. PHYSICS LETTERS A, 1987, 119 (07) : 345 - 347
[26] Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions
Kniehl, Bernd A.
Kondrashuk, Igor
Notte-Cuello, Eduardo A.
Parra-Ferrada, Ivan
Rojas-Medar, Marko
[J]. NUCLEAR PHYSICS B, 2013, 876 (01) : 322 - 333
[27] MELLIN TRANSFORMS AND ASYMPTOTICS - HARMONIC SUMS
FLAJOLET, P
GOURDON, X
DUMAS, P
[J]. THEORETICAL COMPUTER SCIENCE, 1995, 144 (1-2) : 3 - 58
[28] Mellin transforms of mixed cusp forms
Choie, YJ
Lee, MH
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1999, 42 (03): : 263 - 273
[29] ON SOME INVERSE MELLIN INTEGRAL TRANSFORMS
CONSUL, PC
[J]. BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE, 1966, 52 (04): : 547 - &
[30] Renormalization, Hopf algebras and Mellin transforms
Panzer, Erik
[J]. FEYNMAN AMPLITUDES, PERIODS AND MOTIVES, 2015, 648 : 169 - 202

← 1 2 3 4 5 →