Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch Function

被引：0

作者：

Reynolds, Robert ^{[1
]}

Stauffer, Allan ^{[1
]}

机构：

[1] York Univ, Dept Math & Stat, 4700 Keele St, Toronto, ON M3J 1P3, Canada

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

double integral; Aprey's constant; Catalan's constant; Lerch function;

D O I：

10.3390/sym13091708

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：

In this manuscript, the authors derive a double integral whose kernel involves the logarithmic function a polynomial raised to a power and a quotient function expressed it in terms of the Lerch function. All the results in this work are new.

引用

页数：7

共 41 条

[1] Double integral involving logarithmic and quotient function with powers expressed in terms of the Lerch function
Reynolds, Robert
Stauffer, Allan
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, 14 (04): : 1337 - 1349
[2] Definite integral of a hyperbolic quotient function expressed in terms of the Lerch function
Reynolds, Robert
Stauffer, Allan
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, 14 (04): : 1132 - 1147
[3] Triple Integral involving the Product of the Logarithmic and Bessel Functions expressed in terms of the Lerch Function
Reynolds, Robert
Stauffer, Allan
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (02): : 390 - 396
[4] Definite Integral Involving Rational Functions of Powers and Exponentials Expressed in Terms of the Lerch Function
Reynolds, Robert
Stauffer, Allan
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, 2021, 26 (03)
[5] Definite integral of logarithmic power and square root algebraic functions expressed in terms of the Lerch function
Reynolds, Robert
Stauffer, Allan
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, 14 (04): : 1379 - 1387
[6] The Logarithmic Transform of a Polynomial Function Expressed in Terms of the Lerch Function
Reynolds, Robert
Stauffer, Allan
MATHEMATICS, 2021, 9 (15)
[7] A Definite Integral Involving the Logarithmic Function in Terms of the Lerch Function
Reynolds, Robert
Stauffer, Allan
MATHEMATICS, 2019, 7 (12)
[8] A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz-Lerch Zeta Function
Reynolds, Robert
Stauffer, Allan
SYMMETRY-BASEL, 2021, 13 (11):
[9] Double Integral of the Product of the Exponential of an Exponential Function and a Polynomial Expressed in Terms of the Lerch Function
Reynolds, Robert
Stauffer, Allan
SYMMETRY-BASEL, 2021, 13 (10):
[10] A Quadruple Definite Integral Expressed in Terms of the Lerch Function
Reynolds, Robert
Stauffer, Allan
SYMMETRY-BASEL, 2021, 13 (09):

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