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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
University Constantin Brancusi of Targu-Jiu
2020-02-01
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Series: | Surveys in Mathematics and its Applications |
Subjects: | |
Online Access: | http://www.utgjiu.ro/math/sma/v15/p15_06.pdf |
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. |
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ISSN: | 1843-7265 1842-6298 |