EXTENSIONS FOR CERTAIN SUBORDINATION RELATIONS

Year 2014, Volume: 4 Issue: 1, 56 - 61, 01.06.2014

Kazuo Kuroki

Abstract

For some complex number γ which has a positive real part, a certain subordination relation concerned with the Bernardi integral operator Iγ was proven by D. J. Hallenbeck and St. Ruscheweyh Proc. Amer. Math. Soc. 52 1975 , 191-195 . By considering the analyticity of the functions defined by the Bernardi integral operator Iγ for some non-zero complex number γ with Re γ ≤ 0, an extension for certain subordination relation are discussed.

Keywords

Analytic function, Univalent function, Integral operator, Subordination

References

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