Fekete-Szegő problem for subclasses of generalized uniformly starlike functions with respect to symmetric points

Title:

Fekete-Szegő problem for subclasses of generalized uniformly starlike functions with respect to symmetric points

Creator:

Yagmur, Nihat and Orhan, Halit

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:3d821645-60d4-4671-9edd-01be48b1788d
uuid:3d821645-60d4-4671-9edd-01be48b1788d
doi:10.21136/MB.2014.143938

Subject:

Fekete-Szegő problem, Sakaguchi function, uniformly starlike function, and symmetric point

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The authors obtain the Fekete-Szeg˝o inequality (according to parameters s and t in the region s 2 + st + t 2 < 3, s 6= t and s + t ≠ 2, or in the region s 2 + st + t 2 > 3, s 6= t and s + t 6= 2) for certain normalized analytic functions f(z) belonging to k-USTn λ,µ(s, t, γ) which satisfy the condition ℜ { (s − t)z(Dn λ,µf(z))′ ⁄ Dn λ,µf(sz) − Dn λ,µf(tz) } > k (s − t)z(Dn λ,µf(z))′ Dn λ,µf(sz) − Dn λ,µf(tz) −1 + γ, z ∈ U. Also certain applications of the main result a class of functions defined by the Hadamard product (or convolution) are given. As a special case of this result, the Fekete-Szegő inequality for a class of functions defined through fractional derivatives is obtained.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

485-509

Source:

Mathematica bohemica | 2014 Volume:139 | Number:3

Harvested from:

CDK

Metadata only:

false