Results 81 to 90 of about 339 (158)
, 2022 We prove that if E ⊆ Cn is a Φ-like domain and D ⊆ E is a Φ-like domain, then (D; E) is a Runge pair. Certain applications, examples and questions are also provided. Mathematics Subject Classification (2010): 32E30, 30C45, 32H99. Received 18 January 2022;
HAMADA, Hidetaka +2 more
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Length problems for Bazilevič functions
Demonstratio Mathematica, 2019 Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r).
Nunokawa Mamoru +2 more
doaj +1 more source
Neighborhoods and Partial Sums of Meromorphic Univalent Functions
, 2005 In this paper we determine neighborhood results and partial sums for certain class of meromorphic univalent functions with positive coefficients defined by Ruscheweyh derivatives.
Velayudam, S. V. S. +1 more
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Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc [PDF]
, 2010 MSC 2010: 30C45, 30C55One of the most important questions in the study of the classes of such functions is related to bounds on the modulus of functions (growth) or modulus of the derivative (distortion).
Polatoğlu, Yaşar
core
Toeplitz matrices whose elements are coefficients of Bazilevič functions
Open Mathematics, 2018 We consider the Toeplitz matrices whose elements are the coefficients of Bazilevič functions and obtain upper bounds for the first four determinants of these Toeplitz matrices.
Radhika Varadharajan +3 more
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Differential subordination and convexity criteria of integral operators
Open Mathematics, 2017 A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk.
Chandrashekar R. +2 more
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Convex combination of analytic functions
Open Mathematics, 2017 Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Cho Nak Eun +2 more
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© Hindawi Publishing Corp. SOME CRITERIA FOR UNIVALENCE OF CERTAIN INTEGRAL OPERATORS
, 2004 We derive some criteria for univalence of certain integral operators for analytic functions in the open unit disk. 2000 Mathematics Subject Classification: 30C45. 1.
Shigeyoshi Owa, Virgil Pescar
core
Demonstratio MathematicaA TT-symmetric univalent function is a complex valued function that is conformally mapping the unit disk onto itself and satisfies the symmetry condition ϕ[T](ζ)=[ϕ(ζT)]1∕T{\phi }^{\left[T]}\left(\zeta )={\left[\phi \left({\zeta }^{T})]}^{1/T} for all ζ ...
Ibrahim Rabha W., Baleanu Dumitru
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Hankel determinant for certain new classes of analytic functions associated the activation functions. [PDF]
Heliyon, 2023 Sun Y +4 more
europepmc +1 more source