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Pathway fractional integral operator associated with struve function of first kind

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The aim of this paper to study the pathway fractional integral operator as- sociated with the Struve function of rst kind which is expressed in terms of the general- izedWright hypergeometric function. Furthermore the special cases for the trigonometric functions are also consider.

Abstract

The aim of this paper to study the pathway fractional integral operator as- sociated with the Struve function of rst kind which is expressed in terms of the general- izedWright hypergeometric function. Furthermore the special cases for the trigonometric functions are also consider.

참고문헌 (14)

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  3. A. A. Kilbas, "Generalized fractional integration of Bessel function of the first kind", Integral Transforms Spec. Funct, 19(11-12), pp.869~883 (2008)
  4. A. A. Kilbas, "Fractional integration of the product of Bessel function of the first kind", Fract. Calc. Appl. Anal, 13(2), pp.159~175 (2010)
  5. S. S. Nair, "Pathway fractional integration operator", Fract. Calc. Appl. Anal, 12(3), pp.237~252 (2009)
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  7. A. M. Mathai, "On generalized distributions and path-ways", Phys. Lett. A, 372, pp.2109~2113 (2008)
  8. A. M. Mathai, "Pathway model, superstatistics, Tsallis statistics and a generalize measure of entropy", Phys. A, 375, pp.110~122 (2007)
  9. Dumitru Baleanu, "A Composition Formula of the Pathway Integral Transform Operator", Note di Matematica,Note Mat, 34(2), pp.145~155 (2014)
  10. E. D. Rainville, "Special functions" (1960), Macmillan
  11. S. R. Mondal, "Geometric properties of generalized Bessel functions", Bull. Malays. Math. Sci. Soc, 35(1), pp.179~194 (2012)
  12. E. M. Wright, "The asymptotic expansion of integral functions de ned by Taylor series", Philos. Trans. Roy. Soc. London, Ser. A, 238, pp.423~451 (1940)
  13. E. M. Wright, "The asymptotic expansion of the generalized hypergeometric function", Proc. London Math. Soc, 46, pp.389~408 (1940)
  14. P. Agarwal, "The Unified Pathway Fractional Integral Formulae", Fract. Calc. Appl, 4(9), pp.1~8 (2013)

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