<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 4.0 International 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

Pubblicato online: 24 dic 2020

Pagine: 39 - 49

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

Parole chiave
meromorphic functions, analytic functions, neighborhood

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

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Pubblicato online: 24 dic 2020

Pagine: 39 - 49

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

Parole chiavemeromorphic functions, analytic functions, neighborhood

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

This work is licensed under the Creative Commons Attribution 4.0 International License.

Parole chiave
meromorphic functions, analytic functions, neighborhood