Results 11 to 20 of about 642 (133)
New criteria for meromorphic $p$-valent starlike functions [PDF]
Tsukuba Journal of Mathematics, 1993 The authors study the class, \(B_ n(\alpha)\), of functions of the form \[ f(z) = a_{-p} z^{-p} + \sum_{k=0}^{\infty} a_ kz^ k \quad (a_{-p} \neq 0,\;p \in N = \{1,2,\dots\} \] which are regular in the punctured unit disc \(\{z:0 < | z | < 1\}\) and satisfies the condition \[ \text{Re} \left\{ {D^{n + 1} f(z) \over D^ nf(z)} - (p+1) \right\} < - \alpha,
Aouf, M.K., Hossen, H.M.
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On Janowski Type Harmonic Meromorphic Functions with respect to Symmetric Point
Journal of Function Spaces, 2021 In this paper, we define a new class of Sakaguchi type-meromorphic harmonic functions in the Janowski domain that are starlike with respect to symmetric point.
Muhammad Ghaffar Khan +4 more
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Starlike Meromorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper we study meromorphic univalent functions which map the unit disk onto the exterior of a domain which is starlike with respect to some finite point different from the origin. We obtain bounds on the arc length, an integral representation, and bounds on the maximum modulus of starlike meromorphic functions.
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Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha [PDF]
Mathematics Interdisciplinary Research, 2017 In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to thisclass.
Mohammad Taati +2 more
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On Becker's univalence criterion [PDF]
, 2017 We study locally univalent functions $f$ analytic in the unit disc $\mathbb{D}$ of the complex plane such that $|{f"(z)/f'(z)}|(1-|z|^2)\leq 1+C(1-|z|)$ holds for all $z\in\mathbb{D}$, for some ...
Huusko, Juha-Matti, Vesikko, Toni
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Convolution Properties of Classes of Analytic and Meromorphic Functions
Journal of Inequalities and Applications, 2010 General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, close-to-convex, and quasiconvex analytic ...
Rosihan M. Ali +3 more
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Convex and Starlike Meromorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1980 In this paper we study meromorphic univalent functions with a simple pole at p which map the unit disk onto the exterior of convex sets or the exterior of starlike sets. A question raised by Libera and Livingston concerning the equality of two classes of starlike meromorphic univalent functions is answered. We show that the set of points omitted by the
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Loewner theory for quasiconformal extensions: old and new [PDF]
, 2019 This survey article gives an account of quasiconformal extensions of univalent functions with its motivational background from Teichm\"uller theory and classical and modern approaches based on Loewner theory.Comment: 25 pages, 3 figs.
Hotta, Ikkei
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Simple sufficient conditions for starlikeness and convexity for meromorphic functions
Open Mathematics, 2016 In this paper we investigate some extensions of sufficient conditions for meromorphic multivalent functions in the open unit disk to be meromorphic multivalent starlike and convex of order α.
Goswami Pranay +2 more
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Fuzzy Differential Subordination for Meromorphic Function
Axioms, 2022 This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. This work aims to present new fuzzy differential subordinations for which the fuzzy best dominant and fuzzy best ...
Sheza El-Deeb +3 more
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