An application of the distribution series for certain analytic function classes

For the generalized distribution with the Pascal model defined by P(X=j) =Binomial(j+t-1,t-1)pj(1-p)t j∈{ 0,1,2,3,...}, let UP(λ ,α ,μ) and HP(λ ,α) represent the analytic function classes in the open unit disk D={z: z∈ℂ and |z|<1}. The main aim of this paper is to derive the sufficient condi...

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Bibliographic Details
Main Authors: Serkan Çakmak, Sibel Yalçın, Şahsene Altınkaya
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2020-02-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v15/p15_06.pdf
Description
Summary:For the generalized distribution with the Pascal model defined by P(X=j) =Binomial(j+t-1,t-1)pj(1-p)t j∈{ 0,1,2,3,...}, let UP(λ ,α ,μ) and HP(λ ,α) represent the analytic function classes in the open unit disk D={z: z∈ℂ and |z|<1}. The main aim of this paper is to derive the sufficient conditions for functions in these classes.
ISSN:1843-7265
1842-6298