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Certain Subclasses of Bi-Starlike and Bi-Convex Functions of Complex Order

Nanjundan Magesh|Vittalrao Kupparao Balaji
경북대학교 자연과학대학 수학과|2015.09|Kyungpook Mathematical Journal|제55권 제3호|pp. 705-714

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참고문헌

키워드

UnivalentBi-Univalent functionsStarlike and Convex functions Ma-Minda type
주제분류수학

초록

In this paper, we introduce and investigate an interesting subclass MΣ(γ,λ,δ,φ) of analytic and bi-univalent functions of complex order in the open unit disk U. For functions belonging to the class MΣ(γ,λ,δ,φ) we investigate the coefficient estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would generalize and improve some recent works of [1],[5],[9]

Abstract

In this paper, we introduce and investigate an interesting subclass M_Σ(γ,λ,δ,φ) of analytic and bi-univalent functions of complex order in the open unit disk U. For functions belonging to the class M_Σ(γ,λ,δ,φ) we investigate the coefficient estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would generalize and improve some recent works of [1],[5],[9]

참고문헌 (24)

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