[PDF][PDF] Applications of a certain q-integral operator to the subclasses of analytic and bi-univalent functions
AIMS Math, 2021•aimspress.com
In the present investigation, our aim is to define a generalized subclass of analytic and
biunivalent functions associated with a certain q-integral operator in the open unit disk U.
We estimate bounds on the initial Taylor-Maclaurin coefficients| a2| and| a3| for normalized
analytic functions f in the open unit disk by considering the function f and its inverse g= f− 1.
Furthermore, we derive special consequences of the results presented here, which would
apply to several (known or new) subclasses of analytic and bi-univalent functions.
biunivalent functions associated with a certain q-integral operator in the open unit disk U.
We estimate bounds on the initial Taylor-Maclaurin coefficients| a2| and| a3| for normalized
analytic functions f in the open unit disk by considering the function f and its inverse g= f− 1.
Furthermore, we derive special consequences of the results presented here, which would
apply to several (known or new) subclasses of analytic and bi-univalent functions.
Abstract
In the present investigation, our aim is to define a generalized subclass of analytic and biunivalent functions associated with a certain q-integral operator in the open unit disk U. We estimate bounds on the initial Taylor-Maclaurin coefficients| a2| and| a3| for normalized analytic functions f in the open unit disk by considering the function f and its inverse g= f− 1. Furthermore, we derive special consequences of the results presented here, which would apply to several (known or new) subclasses of analytic and bi-univalent functions.
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