Meromorphic Convex Functions with Negative Coefficients |
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作者姓名: | B.A.Uralegaddi M.D.Ganigi |
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作者单位: | Department of Mathematics Karnatak University Dharwad-580 003. INDIA,Department of Mathematics Karnatak Arts College,Dharwad-580 001 INDIA |
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摘 要: | Let σ_k(a) be the class of functions f(f)=1/z-sur from n=1 to ∞(|a_n|z~n), regular in the punctured disk E={z:0<|z|<1} and satisfying Re(1 zf"(z)/f'(z))<-a (0≤a<1) for z∈E. In this paper we obtain coefficient inequalities, distortion and closure Theorems for the class σ_k(a). Further we obtain the class preserving integral operator of the form
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