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

Authors

  • D. Soybaş Erciyes University, Kayseri 38039, Turkey
  • S.B. Joshi Walchand College of Engineering, Sangli 416415, India
  • H.H. Pawar Sveri's College of Engineering, Pandharpur 413304, India
https://doi.org/10.15330/cmp.14.1.289-298

Keywords:

univalent function, distortion theorem, prestarlike function
Published online: 2022-06-30

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.

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How to Cite
(1)
Soybaş, D.; Joshi, S.; Pawar, H. On Generalized Fractional Integral Operator Involving Fox’s $H$-Function and Its Applications to Unified Subclass of Prestarlike Functions With Negative Coefficients. Carpathian Math. Publ. 2022, 14, 289-298.