上半平面中解析函数的微分从属和微分超从属

Abstract

Abstract:

Let Ω be a set in the complex plane C. Also let p be analytic in the upper half-plane Δ={z:z∈C and Im(z)>0} and suppose that ψ: C³×Δ→C. In this paper, we consider the problem of determining properties of functions p that satisfy the following differential superordination Ω⊂{ψ(p(z), p'(z), p"(z);z): z∈Δ}. Applications of these results to differential subordination and differential superordination for analytic functions in Δ are also presented.

Key words: Differential subordination, Differential superordination, Analytic functions, Admissible functions, Upper half-plane

CLC Number:

O174.5

Tang Huo, Srivastava H, Deng Guantie. Differential Subordination and Differential Superordination for Analytic Functions in the Upper Half-Plane[J].Acta mathematica scientia,Series A, 2016, 36(2): 201-214.

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References

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Differential Subordination and Differential Superordination for Analytic Functions in the Upper Half-Plane

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