2011•International Journal of Mathematical ArchiveRequires access

COEFFICIENT BOUNDS FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS

B. S. Mehrok, Deepak Kumar Gupta, Harjinder Singh

Open publisher page 0 citations

Abstract

Let  be the class of functions f(z)=z+∑_(n=2)^∞▒〖a_n z^n 〗 analytic in the unit disc E={z:|z| 0 and Re{(f(z))/(g(z))}>0 respectively. We wish to obtain the sharp upper bounds for the functional |a_2 a_4-a_3^2 |.

About this research paper

What this paper is about

Let  be the class of functions f(z)=z+∑_(n=2)^∞▒〖a_n z^n 〗 analytic in the unit disc E={z:|z| 0 and Re{(f(z))/(g(z))}>0 respectively. We wish to obtain the sharp upper bounds for the functional |a_2 a_4-a_3^2 |.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Let  be the class of functions f(z)=z+∑_(n=2)^∞▒〖a_n z^n 〗 analytic in the unit disc E={z:|z| 0 and Re{(f(z))/(g(z))}>0 respectively. We wish to obtain the sharp upper bounds for the functional |a_2 a_4-a_3^2 |.

Key concepts: Mathematics, Analytic function, Unit (ring theory), Class (philosophy), Combinatorics, Discrete mathematics, Mathematical analysis, Computer science

Related papers

Back to paper searchBrowse research topicsOriginal source
COEFFICIENT BOUNDS FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS — Research Paper | ScholarLens