Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Fredholm Type Integral Equations and Certain Polynomials

  • Chaurasia, V.B.L. (Department of Mathematics, University of Rajasthan) ;
  • Shekhawat, Ashok Singh (Department of Mathematics, University of Rajasthan)
  • Received : 2002.07.03
  • Published : 2005.12.23
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Abstract

This paper deals with some useful methods of solving the one-dimensional integral equation of Fredholm type. Application of the reduction techniques with a view to inverting a class of integral equation with Lauricella function in the kernel, Riemann-Liouville fractional integral operators as well as Weyl operators have been made to reduce to this class to generalized Stieltjes transform and inversion of which yields solution of the integral equation. Use of Mellin transform technique has also been made to solve the Fredholm integral equation pertaining to certain polynomials and H-functions.

Keywords

References

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