Results 81 to 90 of about 5,311 (200)
Linear Combinations of Harmonic Univalent Mappings
, 2021 Many properties are known about analytic functions, however the class of harmonic functions which are the sum of an analytic function and the conjugate of an analytic function is less understood.
Nguyen, Dennis
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The radius of convexity of certain analytic functions II
International Journal of Mathematics and Mathematical Sciences, 1980 In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and univalent such that |f′(z)−1|
J. S. Ratti
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, 1962 A function f(z) is said to be univalent in a region G if and only if f(z1) = f(s2 ) in G implies z1 = z2 whenever z1 and z2 are any two points in G. Another way of stating this is that a univalent function in G is characterized by the fact that it takes ...
Robinson, James A.
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The Schwarzian derivative and univalent functions
, 1972 In this paper we prove under certain conditions the function w = f ( z ) w = f(z) is univalent in | z | > 1 |z|
Shigeo Ozaki, Mamoru Nunokawa
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Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator
, 2020 Let Ω denote the class of functions f ( z ) = z + a 2 z 2 + a 3 z 3 + ⋯ belonging to the normalized analytic function class A in the open unit disk U = z : z < 1 , which are bi-univalent in U , that ...
Ibtisam Aldawish +2 more
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On the coefficients of univalent functions. [PDF]
Michigan Mathematical Journal, 1967 Clunie, J., Pommerenke, Ch.
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Univalent Functions with Univalent Derivatives III [PDF]
Indiana University Mathematics Journal, 1969 S. M. Shah, S. Y. Trimble
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On Use of Meijer's G-functions In The Theory of Univalent Functions [PDF]
, 2015 Using some properties of Meijer's G-functions and univalent functions, in this paper some definitions, transformations and theorems in univalent function theory are discussed and then reformulated in the language of Meijer's G-functions.
Pishkoo, Amir
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Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
International Journal of Mathematics and Mathematical SciencesThis work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σn to introduce a normalized ...
Jamal Salah
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Exploring Bi-Univalent Classes via q-Derivatives and Bivariate Fibonacci Polynomials
MathematicsThe q-calculus framework has emerged as a powerful tool in geometric function theory, enabling refined analysis of analytic and bi-univalent functions.
Aruna Mogarala Guruvaya +3 more
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