<abstract xmlns="http://www.w3.org/1999/xhtml">In this paper, we consider a class L(λ, μ; ϕ) of analytic functions f defined in the open unit disk U satisfying the subordination condition that<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/auom-2016-0021_001.jpg"></inline-graphic>,where <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/auom-2016-0021_002.jpg"></inline-graphic> is the Sălăgean operator and ϕ(z) is a convex function with positive real part in U. We obtain some characteristic properties giving the coefficient inequality, radius and subordination results, and an inclusion result for the above class when the function ϕ(z) is a bilinear mapping in the open unit disk. For these functions f (z) ; sharp bounds for the initial coefficient and for the Fekete-Szegö functional are determined, and also some integral representations are given. </abstract>

In this paper, we consider a class L(λ, μ; ϕ) of analytic functions f defined in the open unit disk U satisfying the subordination condition that,where  is the Sălăgean operator and ϕ(z) is a convex function with positive real part in U. We obtain some characteristic properties giving the coefficient inequality, radius and subordination results, and an inclusion result for the above class when the function ϕ(z) is a bilinear mapping in the open unit disk. For these functions f (z) ; sharp bounds for the initial coefficient and for the Fekete-Szegö functional are determined, and also some integral representations are given.

Some characteristic properties of analytic functions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Some characteristic properties of analytic functions"}

In this paper, we consider a class L(λ, μ; ϕ) of analytic functions f defined in the open unit disk U satisfying the subordination condition that,where  is the...

Some characteristic properties of analytic functions

Publicado en línea: 21 sept 2017

Páginas: 353 - 369

Recibido: 01 oct 2014

Aceptado: 01 ene 2015

DOI: https://doi.org/10.1515/auom-2016-0021

Palabras clave
Analytic functions, subordination, starlike function, Fekete-Szegö functional, Sălăgean operator

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Some characteristic properties of analytic functions

Publicado en línea: 21 sept 2017

Páginas: 353 - 369

Recibido: 01 oct 2014

Aceptado: 01 ene 2015

DOI: https://doi.org/10.1515/auom-2016-0021

Palabras claveAnalytic functions, subordination, starlike function, Fekete-Szegö functional, Sălăgean operator

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Palabras clave
Analytic functions, subordination, starlike function, Fekete-Szegö functional, Sălăgean operator