한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제28권2호
  • /
  • Pages.111-117
  • /
  • 2021
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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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)
  • 투고 : 2021.01.09
  • 심사 : 2021.03.24
  • 발행 : 2021.05.31
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초록

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.

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참고문헌

  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. https://doi.org/10.5831/HMJ.2017.39.3.453
  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. https://doi.org/10.1080/10652469.2010.549487