Browse > Article
http://dx.doi.org/10.7468/jksmeb.2021.28.2.111

A NEW CLASS OF DOUBLE INTEGRALS  

Anil, Aravind K. (Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education)
Prathima, J. (Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education)
Kim, Insuk (Department of Mathematics Education, Wonkwang University)
Publication Information
The Pure and Applied Mathematics / v.28, no.2, 2021 , pp. 111-117 More about this Journal
Abstract
In this paper we aim to establish a new class of six definite double integrals in terms of gamma functions. The results are obtained with the help of some definite integrals obtained recently by Kim and Edward equality. The results established in this paper are simple, interesting, easily established and may be useful potentially.
Keywords
generalized hypergeometric functions; classical summation theorems; integral representation for $_2F_1$;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. Edwards: A Treaties on the Integral Calculus with Applications, Examples and Problems, Vol. II. Chelsea Publishing Campany, New York, 1954.
2 C.F. Gauss: Disquisitiones generales circa seriem infinitom. Thesis, Gottingen, published in Ges Werke Gottingen, Vol.2, pp 437-45, 1866.
3 I. Kim: A Class of Definite Integrals. Honam Mathematical J. 39 (2017), no. 3, 453-463.   DOI
4 E.D. Rainville: Special Functions. The Macmillan Company, New York, 1960.
5 M.A. Rakha & A.K. Rathie: Generalization of classical summation theorems for the series of 2F1 and 3F2 with applications. Integral Transforms Spec. Funct. 22 (2011), 823-840.   DOI