On certain subclass of p-valent functions with positive coefficients
In this article, a certain differential operator , k ( ) p S f z α,β,λ,δ and a subclass S n,p(α,β,δ,λ, p) for analytic functions with positive coefficients of the form Σ∞ = + = + 1 ( ) n p n n f z z p a z are introduced. Some properties such as the coefficients inequalities, distortion theore...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2014
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| Online Access: | http://journalarticle.ukm.my/8606/ http://journalarticle.ukm.my/8606/ http://journalarticle.ukm.my/8606/1/jqma-10-2-paper4.pdf |
| Summary: | In this article, a certain differential operator , k ( )
p S f z α,β,λ,δ and a subclass S n,p(α,β,δ,λ, p) for
analytic functions with positive coefficients of the form Σ∞
= + = + 1 ( ) n p
n
n
f z z p a z are introduced.
Some properties such as the coefficients inequalities, distortion theorem, radii of starlikeness
and convexity, closure theorems and extreme points are given. A class preserving an integral
operator is also stated. |
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