Open AccessA Class of p-valent Functions in the Punctured Disc
Author(s) -
Olubunmi A. Fadipe-Joseph,
K. O. Dada
Publication year - 2019
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.2219.473481
Subject(s) - distortion (music) , class (philosophy) , lambda , mathematics , operator (biology) , combinatorics , pure mathematics , physics , chemistry , computer science , optics , amplifier , biochemistry , optoelectronics , cmos , repressor , artificial intelligence , transcription factor , gene
Motivated by Aouf differential operator, a class $F_{\lambda, p}^{n}\left ( \alpha , \beta , \gamma \right )$ of p-valent functions in the punctured disc $U^{*}=\left \{ z:0<\left | z \right |<1 \right \}=U\setminus \left \{ 0 \right \} $ is defined. The coefficient estimates, growth and distortion theorems for the class are obtained.