On a Class of Analytic Functions Closely Related to a Class Defined by Silverman and Silvia

We define and study a class of analytic functions in the unit disc by using a modification of the well-known Silverman and Silvia analytic formula for starlike functions with respect to a boundary point. The representation theorem, as well as growth and distortion theorems are established for the ne...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2023-04, Vol.74 (11), p.1752-1763
Main Authors: Kavitha, S., Darus, M., Sivasubramanian, S.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Analytic functions
Applications of Mathematics
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Statistics
Theorems
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Summary:We define and study a class of analytic functions in the unit disc by using a modification of the well-known Silverman and Silvia analytic formula for starlike functions with respect to a boundary point. The representation theorem, as well as growth and distortion theorems are established for the new class of functions. Further, early coefficients of the new class of functions are also estimated.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-023-02168-9