Zalcmann, generalized Zalcmann and Krushkal inequalities associated with a new subclass of analytic functions

In this article we investigate the sharp bounds of Zalcmann, generalized Zalcmann and Krushkal inequalities for a new subclass of analytic functions of the form $ f(z)=z +\sum_{n=2}^{\infty} a_n z^n$ on the unit disk $\Delta=\{z \in \mathbb{C}: |z|<1\}.$

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-08-10
DOI
https://doi.org/10.5269/bspm.76380
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Zalcmann, generalized Zalcmann and Krushkal inequalities associated with a new subclass of analytic functions

M. Ruby Salestina, M. Nandeesh, Vishnu Mohanan Marar
Boletim da Sociedade Paranaense de Matemática
Analytic and geometric function theory
article

Zalcmann, generalized Zalcmann and Krushkal inequalities associated with a new subclass of analytic functions

M. Ruby Salestina, M. Nandeesh, Vishnu Mohanan Marar
article en

Abstract

In this article we investigate the sharp bounds of Zalcmann, generalized Zalcmann and Krushkal inequalities for a new subclass of analytic functions of the form $ f(z)=z +\sum_{n=2}^{\infty} a_n z^n$ on the unit disk $\Delta=\{z \in \mathbb{C}: |z|<1\}.$

Boletim da Sociedade Paranaense de MatemáticaVol. 43
University of Mysore (IN), ASA College (US)
Openalex Percentile: Top 68%
Analytic and geometric function theory
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