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Generating functions for the extended Wright type hypergeometric function

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In recent years, several interesting families of generating functions for various classes of hypergeometric functions were investigated systematically. In the present paper, we introduce a new family of extended Wright type hypergeometric function and obtain several classes of generating relations for this extended Wright type hypergeometric function.

Abstract

In recent years, several interesting families of generating functions for various classes of hypergeometric functions were investigated systematically. In the present paper, we introduce a new family of extended Wright type hypergeometric function and obtain several classes of generating relations for this extended Wright type hypergeometric function.

참고문헌 (16)

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  4. A. Erd´elyi, "Higher Transcendental Functions. Vol I" (1953), McGraw-Hill
  5. V. Malovichko, "On a generalized hypergeometric function and some integral operators", Math. Phys, 19, pp.99~103 (1976)
  6. R. K. Parmar, "Extended -hypergeometric functions and associated properties", C. R. Math. Acad. Sci. Paris, 353(5), pp.421~426 (2015)
  7. E. D. Rainville, "Special Functions" (1960), The Macmillan Company
  8. Snehal B. Rao, "Some properties of generalized hypergeometric function", 대한수학회논문집, 28(2), pp.303~317 (2013), 대한수학회
  9. S. B. Rao, "Note on generalized hypergeometric function", Integral Transforms Spec. Funct, 24(11), pp.896~904 (2013)
  10. H. M. Srivastava, "A certain generalized Pochhammer symbol and its applications to hypergeometric functions", Appl. Math. Comput, 226, pp.484~491 (2014)
  11. H. M. Srivastava, "A Treatise on Generating Functions" (1984), Halsted Press (Ellis Horwood Limited)
  12. H. M. Srivastava, "A class of extended fractional deriva-tive oper ators and associated generating relations involving hypergeometric functions", Axioms, 1(3), pp.238~258 (2012)
  13. R. Srivastava, "Some generalizations of Pochhammer’s symbol and their associated fam-ilies of hypergeometric functions and hypergeometric polynomials", Appl. Math. Inf. Sci, 7(6), pp.2195~2206 (2013)
  14. R. Srivastava, "Some classes of generating functions associated with a certain family of ex-tended and generalized hypergeometric functions", Appl. Math. Comput, 243, pp.132~137 (2014)
  15. N. Virchenko, "Some results on a generalized hypergeomet-ric function", Integral Transforms Spec. Funct, 12(1), pp.89~100 (2001)
  16. E. M. Wright, "On the coefficient of power series having exponential singularities", J. Lond. Math. Soc, 5(1), pp.71~79 (1933)

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