Results 41 to 50 of about 24,583 (335)

On Univalent Polynomials [PDF]

Proceedings of the American Mathematical Society, 1976
We define V n ⊆ C n − 1 {V_n} \subseteq {{\mathbf {C}}^{n - 1}} to be the set of ( n −
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One Criterion for Univalency [PDF]

Proceedings of the American Mathematical Society, 1989
In this note we give one criterion for the functions f ( z ) = z + a 2 z 2 + ⋯ f\left ( z \right ) = z + {a_2}{z^2} + \cdots to be univalent in
Shigeyoshi Owa, Milutin Obradović, Mamoru Nunokawa   +2 more
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Initial coefficient bounds for certain new subclasses of bi-univalent functions with bounded boundary rotation

AIMS Mathematics, 2023
In the current article, we introduced new subclasses of bi-univalent functions associated with bounded boundary rotation. For these new classes, the authors first obtained two initial coefficient bounds.
Prathviraj Sharma , Srikandan Sivasubramanian, Nak Eun Cho   +2 more
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A univalency criterion.

Michigan Mathematical Journal, 1985
Let f be meromorphic and locally univalent in the upper half plane U with Schwarzian derivative S(f,z). Suppose that \(| 2(Im z)S(f,z)-c(c- 1)| \leq k| c|\) for all \(z\in U\).
Anderson, J. M., Hinkkanen, A.
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Univalent functions with univalent Gelfond-Leontev derivatives [PDF]

Bulletin of the Australian Mathematical Society, 1984
Let be a nondecreasing sequence of positive numbers. We consider Gelfond-Leontev derivative Df(z), of a function , defined by for univalence and growth properties, and extend some results of Shah and Trimble. Set en = {d1d2 … dn), n≥l, e0 = 1, . Let r be the radius of convergence of p(z). We state parts of Theorem 1 and Corollaries. Let f and all Dkf,
S.M. Shah, O.P. Juneja
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ON NORMALIZED RABOTNOV FUNCTION ASSOCIATED WITH CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS

Проблемы анализа, 2023
In this paper, we investigate some sufficient conditions for the normalized Rabotnov function to be in certain subclasses of analytic and univalent functions. The usefulness of the results is depicted by some corollaries and examples.
S. Sumer Eker, B. ¸Seker, S. Ece
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On Meromorphic Parabolic Starlike Functions with Fixed Point Involving the q-Hypergeometric Function and Fixed Second Coefficients

Mathematics, 2023
This article defines a new class of meromorphic parabolic starlike functions in the punctured unit disc D*={z∈C ...
Norah Saud Almutairi, Awatef Shahen, Hanan Darwish   +2 more
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Some properties of analytic functions related with Booth lemniscate

Acta Universitatis Sapientiae: Mathematica, 2018
The object of the present paper is to study of two certain subclass of analytic functions related with Booth lemniscate which we denote by ℬ𝒮 (α) and ℬ𝒦 (α). Some properties of these subclasses areconsidered.
Najmadi P., Najafzadeh Sh., Ebadian A.
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Certain subclasses of Spiral-like univalent functions related with Pascal distribution series

Moroccan Journal of Pure and Applied Analysis, 2021
The purpose of the present paper is to find the sufficient conditions for the subclasses of analytic functions associated with Pascal distribution to be in subclasses of spiral-like univalent functions and inclusion relations for such subclasses in the ...
Murugusundaramoorthy Gangadharan
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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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