대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제32권2호
  • /
  • Pages.305-319
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  • 2017
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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CERTAIN INTEGRAL FORMULAS ASSOCIATED WITH ALEPH (ℵ)-FUNCTION

  • Agarwal, Praveen (Department of Mathematics Anand International College of Engineering) ;
  • Jain, Shilpi (Department of Mathematics Poornima College of Engineering) ;
  • Karimov, Erkinjon T. (Institute of Mathematics named after V. I. Romanovsky Academy of Sciences) ;
  • Prajapati, Jyotindra C. (Faculty of Technology and Engineering Marwadi Education Foundation Group of Institutions)
  • 투고 : 2015.12.01
  • 발행 : 2017.04.30
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초록

Recently many authors have investigated so-called Aleph (${\aleph}$)-function and its various properties. Here, in this paper, we aim at establishing certain integral formulas involving the Aleph (${\aleph}$)-function. Precisely, integrals with product of Aleph (${\aleph}$)-function with Jacobi polynomials, Bessel Maitland function, general class of polynomials were under consideration. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

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참고문헌

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