Certain Subclasses of Bi-Starlike Function of Complex Order Defined by Erdély–Kober-Type Integral Operator

In the present paper, we introduce new subclasses of bi-starlike and bi-convex functions of complex order associated with Erdély–Kober-type integral operator in the open unit disc and find the estimates of initial coefficients in these classes. Moreover, we obtain Fekete-Szegő inequalities for funct...

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Bibliographic Details
Published in:Axioms 2022-05, Vol.11 (5), p.237
Main Authors: Alburaikan, Alhanouf, Murugusundaramoorthy, Gangadharan, El-Deeb, Sheza M.
Format: Article
Language:English
Subjects:
analytic functions
bi-starlike and bi-convex functions of complex order
bi-univalent functions
coefficient bounds
Convex analysis
fractional calculus
Operators (mathematics)
univalent functions
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Summary:In the present paper, we introduce new subclasses of bi-starlike and bi-convex functions of complex order associated with Erdély–Kober-type integral operator in the open unit disc and find the estimates of initial coefficients in these classes. Moreover, we obtain Fekete-Szegő inequalities for functions in these classes. Some of the significances of our results are pointed out as corollaries.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms11050237