New Subclass of Pseudo-type Meromorphic Bi-Univalent functions of complex order
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In this paper, a new subclass of pseudo-type meromorphic bi-univalent functions class $Sigma'$ of complex order was defined and the initial coefficient estimates were investigated.Abstract:
In the present article, we define a new subclass of pseudo-type meromorphic bi-univalent functions class $\\Sigma'$ of complex order $\\gamma \\in \\mathbb{C}\\backslash \\{0\\}$ and investigate the initial coefficient estimates $|b_0|, |b_1|$ and $|b_2|.$ Further we mention several new or known consequences of our result.read more
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A subclass of pseudo-type meromorphic bi-univalent functions
TL;DR: In this article, a new subclass of pseudo-type meromorphic bi-univalent functions is defined and the estimates on the initial coefficient |b₀|, | b₁| and |b ₂| are derived.
References
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Certain subclasses of bi-univalent functions satisfying subordinate conditions
TL;DR: In this paper, the Taylor-Maclaurin coefficients of the function f when f is in the following subclasses: SΣ(λ,γ;ϕ), HS Σ(α), RΣ (η,γ,ϕ) and BΣ((μ,φ,γ),φ) are investigated.
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On λ-pseudo starlike functions
TL;DR: In this paper, some new, interesting classes of λ -pseudo-starlike univalent functions in the open unit disk E = {z ∈ C : |z| < 1} were identified.
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Sur un problème d'extrémum de la représentation conforme
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Coefficients of meromorphic schlicht functions
TL;DR: In this paper, an elementary proof of a known theorem on the coefficients of meromorphic schlicht functions was presented. But this was based on the Grunsky inequalities, which is a special case of the inequality I b2j < 2/3.
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The coefficient problem for schlicht mappings of the exterior of the unit circle
TL;DR: In this article, the moduli of the coefficients in these normalized expansions at oo for functions in the classes S and T have been determined, and the underlying problem confronting us is the determination of precise upper bounds for the modulae of these coefficients.