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Certain fractional integral formulas involving the product of generalized Bessel functions

  • Faculty of Engineering, King Abdulaziz University
  • Cankaya University
  • Institute for Space Sciences
  • International College of Engineering
  • Maharana Pratap University of Agriculture & Technology

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We apply generalized operators of fractional integration involving Appell's function F 3 (·) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel function of the first kind due to Baricz. The results are expressed in terms of the multivariable generalized Lauricella functions. Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some interesting special cases of our two main results are presented. We also point out that the results presented here, being of general character, are easily reducible to yield many diverse new and known integral formulas involving simpler functions.

Original languageEnglish
Article number567132
JournalScientific World Journal
Volume2013
DOIs
StatePublished - 2013
Externally publishedYes

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