On a new generalized class of p-valent functions and its mapping conditions by a Wright's generalized hypergeometric operator
Year: 2025
Type: article
Abstract: A generalized class $R_{\gamma }^{\tau }(m,p,A,B)$ involving $(m-1)^{th}$ and $m^{th}$ derivatives of $p$-valent functions is defined and its integral representation, coefficient condition and a sufficient condition for a function to be in this class are obtained in this work. Further, certain mapping properties of a Wright's generalized hypergeometric operator $Wf(z)$ related to the class $R_{\gamma }^{\tau }(m,p,A,B)$ are investigated with the known classes $S_{p,\lambda }$ and $C_{p,\lambda }$.
DOI: 10.5269/bspm.67099
Authors: Harshita Bhardwaj, Poonam Sharma
Institution: University of Lucknow
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7168022487