Results 21 to 30 of about 35,490 (309)
Properties of Functions Involving Struve Function
Mathematics, 2018 Let f ( z ) = z + ∑ n = 2 ∞ a n z n and g p , b , c ( z ) = z + ∑ n = 2 ∞ ( − c 4 ) n − 1 ( 3 2 ) n − 1 ( k ) n − 1 z n with
Jonathan Aaron Azlan Mosiun +1 more
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Hölder Inequalities for a Generalized Subclass of Univalent Functions Involving Borel Distributions
Mathematics, 2022 In this article, by making use of the Borel distributions series, we introduce a new family of normalized holomorphic functions in the open unit disk and investigate necessary and sufficient conditions for functions f to be in this new class. Furthermore,
Gangadharan Murugusundaramoorthy +1 more
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Mathematics, 2020 For γ ≥ 0 and α ≥ 0 , we introduce the class B 1 γ ( α ) of Gamma−Bazilevič functions defined for z ∈ D by R e z f ′ ( z ) f ( z ) 1 − α
Sa’adatul Fitri, Derek K. Thomas
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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 +2 more
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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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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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NEIGHBOURHOODS OF UNIVALENT FUNCTIONS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractThe main result shows that a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighbourhood consisting entirely of univalent functions. For the particular choice of a linear function in the hypothesis of the main theorem, we obtain a corollary which is equivalent to the classical Noshiro–
Pascu, Mihai N., Pascu, Nicolae R.
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Properties of Functions Formed Using the Sakaguchi and Gao-Zhou Concept
Mathematics, 2020 This paper introduces a new class related to close-to-convex functions denoted by K s k , N . This class is based on combining the concepts of starlike functions with respect to N-ply symmetry points of the order α , introduced by ...
Jonathan Aaron Azlan Mosiun +1 more
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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,
Juneja, O. P., Shah, S. M.
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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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