Properties for uniformly starlike and related functions under the Srivastava-Attiya operator |
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| Authors: | Yong Sun Wei-Ping KuangZhi-Gang Wang |
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| Institution: | a Department of Mathematics, Huaihua University, Huaihua 418008, Hunan, People’s Republic of China
b School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, Hunan, People’s Republic of China |
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| Abstract: | In the present paper, we introduce and investigate classes of analytic functions involving the Srivastava-Attiya operator. Basic properties for β-uniformly starlike functions of order γ are studied, such as inclusion relations, sufficient conditions, coefficient inequalities and distortion inequalities. The results are also extended to β-uniformly convex, close-to-convex, and quasi-convex functions. Relevant connections of the results presented here with those obtained in earlier works are also pointed out. |
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| Keywords: | Uniformly starlike functions Convex functions Close-to-convex functions Quasi-convex functions Inclusion relations Coefficient inequalities Srivastava-Attiya operator |
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