<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we introduce and study a new class <italic>σ,</italic> (<italic>α,λ</italic>) of meromorphic univalent functions defined in <italic>E</italic> = {<italic>z</italic> : <italic>z</italic> ∊ ℂ and 0 <italic>&lt; |z| &lt;</italic> 1} = <italic>E \</italic> {0}. We obtain coefficient inequalities, distortion theorems, extreme points, closure theorems, radius of convexity estimates and integral operators. Finally, we obtained neighbourhood result for the class <italic>σ<sub>p</sub></italic>(<italic>γ,λ</italic>).</p>
</abstract>

In this paper, we introduce and study a new class σ, (α,λ) of meromorphic univalent functions defined in E = {z : z ∊ ℂ and 0 < |z| < 1} = E \ {0}. We obtain coefficient inequalities, distortion theorems, extreme points, closure theorems, radius of convexity estimates and integral operators. Finally, we obtained neighbourhood result for the class σp(γ,λ).

A new subclass of meromorphic functions with positive coefficients defining by linear operator

P. Thirupathi Reddy Department of Mathematics

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we introduce and study a new class σ, (α,λ) of meromorphic univalent functions defined in E = {z : z ∊ ℂ and 0 < |z| < 1} = E \ {0}. We obtain...

A new subclass of meromorphic functions with positive coefficients defining by linear operator

Publié en ligne: 24 déc. 2020

Pages: 39 - 49

DOI: https://doi.org/10.2478/jamsi-2020-0008

Mots clés
meromorphic functions, analytic functions, neighborhood

© 2020 P. Thirupathi Reddy et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A new subclass of meromorphic functions with positive coefficients defining by linear operator

Publié en ligne: 24 déc. 2020

Pages: 39 - 49

DOI: https://doi.org/10.2478/jamsi-2020-0008

Mots clésmeromorphic functions, analytic functions, neighborhood

© 2020 P. Thirupathi Reddy et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
meromorphic functions, analytic functions, neighborhood