j-Dimensional Integral Involving the Logarithmic and Exponential Functions: Derivation and Evaluation

被引：0
|
作者：
Reynolds, Robert [1 ]
Stauffer, Allan [1 ]
机构：
[1] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
multi-dimensional integral; Cauchy integral; Hurwitz-Lerch zeta function; Catalan's constant;
D O I：
10.3390/sym14020280
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 the fields of science and engineering, tasks involving repeated integrals appear on occasion. The authors' study on repeated integrals of a class of exponential and logarithmic functions is presented in this publication. The paper includes several examples that demonstrate the evaluation of the analytical parts of the multi-dimensional integral derived. All the results in this work are new.
引用
收藏
页数：7
相关论文
共 46 条
  • [1] A CONCISE PROOF OF A DOUBLE INEQUALITY INVOLVING THE EXPONENTIAL AND LOGARITHMIC FUNCTIONS
    Shi, Huan-Nan
    Wu, Shan-He
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (41): : 284 - 289
  • [2] Monotonicity and logarithmic concavity of two functions involving exponential function
    Liu, Ai-Qi
    Li, Guo-Fu
    Guo, Bai-Ni
    Qi, Feng
    INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2008, 39 (05) : 686 - 691
  • [3] A concise proof of a double inequality involving the exponential and logarithmic functions
    Shi, Huan-Nan
    Wu, Shan-He
    Italian Journal of Pure and Applied Mathematics, 2019, (41): : 284 - 289
  • [4] MONOTONICITY AND LOGARITHMIC CONVEXITY OF THREE FUNCTIONS INVOLVING EXPONENTIAL FUNCTION
    Guo, Bai-Ni
    Liu, Ai-Qi
    Qi, Feng
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (04): : 387 - 392
  • [5] Inequalities involving Mellin transform, integral mean, exponential and logarithmic mean
    Aljinovic, A. Aglic
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2012, 39 (02): : 277 - 287
  • [6] Integral Representations and Properties of Some Functions Involving the Logarithmic Function
    Qi, Feng
    Li, Wen-Hui
    FILOMAT, 2016, 30 (07) : 1659 - 1674
  • [7] On the evaluation of generalized exponential integral functions
    Guseinov, I. I.
    Mamedov, B. A.
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2006, 102 (02): : 251 - 256
  • [8] On a quasilinear logarithmic N-dimensional equation involving exponential growth
    de Albuquerque, J. C.
    Carvalho, J. L.
    Souza Filho, A. P. F.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 519 (01)
  • [9] EVALUATION OF AN INTEGRAL INVOLVING AIRY FUNCTIONS
    WILLE, LT
    VENNIK, J
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (14): : 2857 - 2858
  • [10] Properties of the two-dimensional exponential integral functions
    Aygar, Yelda
    Bairamov, Elgiz
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2011, 49 (05) : 1014 - 1025
12345