Fekete-Szegö Type Problems and Their Applications for a Subclass of q-Starlike Functions with Respect to Symmetrical Points
H. M. Srivastava, Nazar Khan, Maslina Darus, Shahid Khan, Qazi Zahoor Ahmad, Saqib Hussain
Abstract
In this article, by using the concept of the quantum (or q-) calculus and a general conic domain Ω k , q , we study a new subclass of normalized analytic functions with respect to symmetrical points in an open unit disk. We solve the Fekete-Szegö type problems for this newly-defined subclass of analytic functions. We also discuss some applications of the main results by using a q-Bernardi integral operator.
Topics & Concepts
SubclassConic sectionMathematicsAnalytic functionType (biology)Unit diskOperator (biology)Pure mathematicsDomain (mathematical analysis)Mathematical analysisCombinatoricsGeometryTranscription factorAntibodyRepressorGeneBiochemistryEcologyBiologyImmunologyChemistryAnalytic and geometric function theoryPharmacological Effects of Medicinal Plants