Fractional order integration and certain integrals of generalized multiindex bessel function

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Abstract

We aim to introduce the generalized multiindex Bessel function (Formula Presented) and to present some formulas of the Riemann-Liouville fractional integration and differentiation operators. Further, we also derive certain integral formulas involving the newly defined generalized multiindex Bessel function (Formula Presented). We prove that such integrals are expressed in terms of the Fox-Wright function pΨq(z). The results presented here are of general in nature and easily reducible to new and known results.

Original languageEnglish
Title of host publicationMathematical Modelling, Applied Analysis and Computation - ICMMAAC 2018
EditorsJagdev Singh, Devendra Kumar, Hemen Dutta, Dumitru Baleanu, Sunil Dutt Purohit
PublisherSpringer New York LLC
Pages155-167
Number of pages13
ISBN (Print)9789811396076
DOIs
StatePublished - 2019
EventInternational Conference on Mathematical Modelling, Applied Analysis and Computation, ICMMAAC 2018 - Jaipur, India
Duration: 6 Jul 20188 Jul 2018

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume272
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Mathematical Modelling, Applied Analysis and Computation, ICMMAAC 2018
Country/TerritoryIndia
CityJaipur
Period6/07/188/07/18

Keywords

  • Fractional calculus
  • Generalized (Wright) hypergeometric functions
  • Generalized multiindex Bessel function
  • Integral formulas

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