On generalized fractional integral operator involving Fox's H-function and its applications to unified subclass of prestarlike functions with negative coefficients

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Soybas D., Joshi S. B., Pawar H. H.

CARPATHIAN MATHEMATICAL PUBLICATIONS, vol.14, no.1, pp.289-298, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.15330/cmp.14.1.289-298
  • Journal Name: CARPATHIAN MATHEMATICAL PUBLICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.289-298
  • Keywords: univalent function, distortion theorem, prestarlike function
  • Erciyes University Affiliated: Yes

Abstract

The aim of present paper is to find out different interesting properties and characterization of unified class P-gamma (A, B, alpha, sigma) of prestarlike functions with negative coefficients in the unit disc U. Furthermore, distortion theorems involving a generalized fractional integral operator involving well-known Fox's H-function for functions in this class are proved.