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HANKEL DETERMINANTS FOR STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRICAL POINTS
조낙은,심영재,Derek K. Thomas 대한수학회 2023 대한수학회보 Vol.60 No.2
We prove sharp bounds for Hankel determinants for starlike functions $f$ with respect to symmetrical points, i.e., $f$ given by $f(z)=z+\sum_{n=2}^{\infty}a_nz^n$ for $z\in \mathbb{D}$ satisfying $$ \re\dfrac{zf'(z)}{f(z)-f(-z)}>0, \quad z\in \mathbb{D}. $$ We also give sharp upper and lower bounds when the coefficients of $f$ are real.
조낙은,권오상 영남수학회 2011 East Asian mathematical journal Vol.27 No.3
The purpose of the present paper is to obtain some subordination and superordination preserving properties involving a certain family of multiplier transformations for meromorphic functions in the open unit disk. The sandwich-type theorems for these linear operators are also considered.
SUBORDINATION PROPERTIES FOR MULTIVALENT FUNCTIONS DEFINED BY A LINEAR OPERATOR
조낙은 장전수학회 2013 Proceedings of the Jangjeon mathematical society Vol.16 No.2
The purpose of the present paper is to investigate subordinationand superordination properties for multivalent functions in theopen unit disk associated with a linear operator with the sandwich-typetheorems. Moreover, we give an application of the main results to theGauss hypergeometric function.
조낙은 장전수학회 2013 Proceedings of the Jangjeon mathematical society Vol.16 No.3
The purpose of the present paper is to investigate somesubordination- and superordination- preserving properties for multivalentfunctions in the open unit disk associated with a family of multipliertransformations. The sandwich-type theorems for these functionsare also obtained.