On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn.
The purpose of this paper is to introduce two novel subclasses Γλ(n, α, β) and Γ∗λ(n, α, β) of meromorphic p-valent functions by using the linear operator Dnλ. Then we prove the necessary and sufficient conditions for a function f in order to be in the new classes. Further we study several important...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Open
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24861/ http://www.springeropen.com/ |
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| Summary: | The purpose of this paper is to introduce two novel subclasses Γλ(n, α, β) and Γ∗λ(n, α, β) of meromorphic p-valent functions by using the linear operator Dnλ. Then we prove the necessary and sufficient conditions for a function f in order to be in the new classes. Further we study several important properties such as coefficients inequalities, inclusion properties, the growth and distortion theorems, the radii of meromorphically p-valent starlikeness, convexity, and subordination properties. We also prove that the results are sharp for a certain subclass of functions. |
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