A Class of Analytic Functions with Missing Coefficients
Let 𝑇𝑛(𝐴,𝐵,𝛾,𝛼)(−1≤𝐵<1,𝐵<𝐴,0<𝛾≤1 and 𝛼>0) denote the class of functions of the form ∑𝑓(𝑧)=𝑧+∞𝑘=𝑛+1𝑎𝑘𝑧𝑘(𝑛∈𝑁={1,2,3,…}), which are analytic in the open unit disk 𝑈 and satisfy the following subordination condition 𝑓(𝑧)+𝛼𝑧𝑓(𝑧)≺((1+𝐴𝑧)/(1+𝐵𝑧))𝛾, for(𝑧∈𝑈;𝐴≤1;0<𝛾<1),(...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/456729 |
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