대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제38권3호
  • /
  • Pages.755-772
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  • 2023
  • /
  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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FRACTIONAL INTEGRATION AND DIFFERENTIATION OF THE (p, q)-EXTENDED MODIFIED BESSEL FUNCTION OF THE SECOND KIND AND INTEGRAL TRANSFORMS

  • Purnima Chopra (Formerly Marudhar Engineering College) ;
  • Mamta Gupta (Amity School of Applied Sciences Amity University) ;
  • Kanak Modi (Amity School of Applied Sciences Amity University)
  • 투고 : 2022.05.13
  • 심사 : 2022.11.22
  • 발행 : 2023.07.31
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초록

Our aim is to establish certain image formulas of the (p, q)-extended modified Bessel function of the second kind Mν,p,q(z) by employing the Marichev-Saigo-Maeda fractional calculus (integral and differential) operators including their composition formulas and using certain integral transforms involving (p, q)-extended modified Bessel function of the second kind Mν,p,q(z). Corresponding assertions for the Saigo's, Riemann-Liouville (R-L) and Erdélyi-Kober (E-K) fractional integral and differential operators are deduced. All the results are represented in terms of the Hadamard product of the (p, q)-extended modified Bessel function of the second kind Mν,p,q(z) and Fox-Wright function rΨs(z).

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과제정보

The authors thanks to the anonymous referee for valuable comments and useful suggestions to improving the quality of the article.

참고문헌

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