Certain Estimates of Normalized Analytic Functions-Reference-Cited by-同舟云学术

Certain Estimates of Normalized Analytic Functions

Published:2022-02-01 Issue:1 Volume:72 Page:85-102
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Anand Swati¹,Jain Naveen Kumar²,Kumar Sushil³

Affiliation:

1. Department of Mathematics , University of Delhi , Delhi - , INDIA

2. Department of Mathematics , Aryabhatta College , Delhi - , INDIA

3. Bharati Vidyapeeth’s college of Engineering , Delhi - , INDIA

Abstract

Abstract Let ϕ be a normalized convex function defined on open unit disk

. For a unified class of normalized analytic functions which satisfy the second order differential subordination f′(z) + αzf″(z) ≺ ϕ(z) for all

z ∈ D

, we investigate the distortion theorem and growth theorem. Further, the bounds on initial logarithmic coefficients, inverse coefficient and the second Hankel determinant involving the inverse coefficients are examined.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2022-0006/pdf

Reference40 articles.

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