Coefficient inequality for a function whose derivative has a positive real part of order α

Title:

Coefficient inequality for a function whose derivative has a positive real part of order α

Creator:

Krishna, Deekonda Vamshee and Ramreddy, Thoutreddy

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ffd765f1-49c7-45b1-99ee-a3818344a1e6
uuid:ffd765f1-49c7-45b1-99ee-a3818344a1e6
doi:10.21136/MB.2015.144178

Subject:

analytic function, upper bound, second Hankel functional, positive real function, and Toeplitz determinant

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The objective of this paper is to obtain sharp upper bound for the function f for the second Hankel determinant |a2a4 − a 2 3 |, when it belongs to the class of functions whose derivative has a positive real part of order α (0 ≤ α < 1), denoted by RT (α). Further, an upper bound for the inverse function of f for the nonlinear functional (also called the second Hankel functional), denoted by |t2t4 − t 2 3 |, was determined when it belongs to the same class of functions, using Toeplitz determinants.

Language:

English

Rights:

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

Coverage:

43-52

Source:

Mathematica bohemica | 2015 Volume:140 | Number:1

Harvested from:

CDK

Metadata only:

false