Fekete-Szegö Type Problems and Their Applications for a Subclass of q-Starlike Functions with Respect to Symmetrical Points

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 anal...

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Published inMathematics (Basel) Vol. 8; no. 5; p. 842
Main Authors Srivastava, Hari Mohan, Khan, Nazar, Darus, Maslina, Khan, Shahid, Ahmad, Qazi Zahoor, Hussain, Saqib
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.05.2020
Subjects
Analytic functions
Calculus
conic domain
Convex analysis
Hankel determinant
Investigations
Mathematical analysis
Mathematics
Operators (mathematics)
q-derivative operator
quantum (or q-) calculus
Toeplitz matrices
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8050842