On certain classes of p-valent analytic functions

The objective of the present paper is to introduce a certain general class P(p,α,β)(p∈N={1,2,3,…}, 0≤α<p  and  β≥0) of p-valent analytic functions in the open unit disk U and we prove that if f∈P(p,α,β) then Jp,c(f), defined by Jp,c(f)=c+pzc∫0ztc−1f(t)dt    (c∈N) belongs to P(p,α,β). We also inve...

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Bibliographic Details
Main Author: Nak Eun Cho
Format: Article
Language:English
Published: Hindawi Limited 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171293000389