Certain Finite Integrals Related to the Products of Special Functions

被引：0

作者：

Kumar, Dinesh ^{[1
]}

Ayant, Frederic ^{[2
,3
]}

Asawasamrit, Suphawat ^{[4
]}

Tariboon, Jessada ^{[4
]}

机构：

[1] Agr Univ Jodhpur, Coll Agr, Dept Appl Sci, Jodhpur 342304, Rajasthan, India

[2] Coll Jean Lherminier, Allee Nympheas, F-83500 La Seyne Sur Mer, France

[3] Dept Var, F-83140 Six Fours la Plage, France

[4] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Intelligent & Nonlinear Dynam Innovat Res Ctr, Bangkok 10800, Thailand

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 11期

关键词：

Aleph-function; multivariable Aleph-function; general class of multivariable polynomials; hypergeometric function;

D O I：

10.3390/sym13112013

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The aim of this paper is to establish a theorem associated with the product of the Aleph-function, the multivariable Aleph-function, and the general class of polynomials. The results of this theorem are unified in nature and provide a very large number of analogous results (new or known) involving simpler special functions and polynomials (of one or several variables) as special cases. The derived results lead to significant applications in physics and engineering sciences.

引用

页数：11

共 50 条

[21] ON CERTAIN ATOMIC INTEGRALS INVOLVING PRODUCTS OF RIJ
BONHAM, RA
JOURNAL OF MOLECULAR SPECTROSCOPY, 1965, 15 (02) : 112 - &
[22] APPLICATIONS OF A TECHNIQUE FOR EVALUATING INDEFINITE INTEGRALS CONTAINING PRODUCTS OF THE SPECIAL-FUNCTIONS OF PHYSICS
PIQUETTE, JC
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (05) : 1260 - 1269
[23] ON ESTIMATION OF THE INTEGRALS OF CERTAIN FUNCTIONS OF SPECTRAL DENSITY
TANIGUCHI, M
JOURNAL OF APPLIED PROBABILITY, 1980, 17 (01) : 73 - 83
[24] Certain unified integrals associated with Bessel functions
Junesang Choi
Praveen Agarwal
Boundary Value Problems, 2013
[25] On inequalities for certain integrals in the theory of Picard functions
Stein, P
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1934, 37 : 241 - 256
[26] ON CERTAIN INTEGRALS ASSOCIATED TO CR-FUNCTIONS
HATZIAFRATIS, T
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 314 (02) : 781 - 802
[27] A NOTE ON CERTAIN INTEGRALS OF BESSEL-FUNCTIONS
LEE, MH
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (23): : 4341 - 4345
[28] Certain unified integrals associated with Bessel functions
Choi, Junesang
Agarwal, Praveen
BOUNDARY VALUE PROBLEMS, 2013,
[29] Indefinite integrals of quotients of special functions
Conway, John T.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2018, 29 (04) : 269 - 283
[30] Integrals of Special Functions and Umbral Methods
Dattoli G.
Germano B.
Licciardi S.
Martinelli M.R.
International Journal of Applied and Computational Mathematics, 2021, 7 (4)

← 1 2 3 4 5 →