Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A NOTE ON A CLASS OF CONVOLUTION INTEGRAL EQUATIONS

  • LUO, MIN-JIE (Department of Mathematics, East China Normal University) ;
  • RAINA, R.K. (Department of Mathematics, M.P. University of Agriculture and Technology)
  • Received : 2015.01.28
  • Accepted : 2015.09.16
  • Published : 2015.12.25
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Abstract

This paper considers a class of new convolution integral equations whose kernels involve special functions such as the generalized Mittag-Leffler function and the extended Kummer hypergeometric function. Some basic properties of interconnection with the familiar Riemann-Liouville operators are obtained which are used in fiding the solution of the main convolution integral equation. Several consequences are deduced from the main result by incorporating certain extended forms of hypergeometric functions in our present investigation.

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References

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