Results 21 to 30 of about 24,583 (335)
New classes of analytic and bi-univalent functions
AIMS Mathematics, 2021 Using the (p, q)-derivative operator we introduce new subclasses of analytic and bi-univalent functions, we obtain estimates on coefficients and the Fekete-Szegö functional.
L. Cotîrlă
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Certain Properties of Harmonic Functions Defined by a Second-Order Differential Inequality
Mathematics, 2023 The Theory of Complex Functions has been studied by many scientists and its application area has become a very wide subject. Harmonic functions play a crucial role in various fields of mathematics, physics, engineering, and other scientific disciplines ...
Daniel Breaz +4 more
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On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation
Mathematics, 2023 In the current article, we introduce a new class of bi-close-to-convex functions with bounded boundary rotation. For this new class, the authors obtain the first three initial coefficient bounds of the newly defined bi-close-to-convex functions with ...
Daniel Breaz +3 more
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Hermitian Toeplitz determinants for the class S of univalent functions
Armenian Journal of Mathematics, 2021 Introducing a new method, we give sharp estimates of the Hermitian Toeplitz determinants of third order for the class S of functions univalent in the unit disc. The new approach is also illustrated on some subclasses of the class S.
M. Obradovic, N. Tuneski
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On some geometric results for generalized k-Bessel functions
Demonstratio Mathematica, 2023 The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized kk-Bessel functions, such as the radii of uniform convexity and of α\alpha -convexity.
Toklu Evrim
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Univalence Criteria for Locally Univalent Analytic Functions
Ukrainian Mathematical Journal, 2023 UDC 517.5 Suppose that p ( z ) = 1 + z ϕ ' ' ( z ) / ϕ ' ( z ) , where ϕ ( z ) is a locally univalent analytic function in the unit disk D with ϕ ( 0 ) = ϕ ' ( 1 ) - 1 = 0. We establish the lower and upper bounds for the best constants σ 0
Zhenyong Hu, Jinhua Fan, Xiaoyuan Wang
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Hankel determinants of second and third order for the class 𝓢 of univalent functions
, 2021 In this paper we give the upper bounds of the Hankel determinants of the second and third order for the class 𝓢 of univalent functions in the unit disc.
M. Obradovic, N. Tuneski
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The Univalence of an Integral [PDF]
Proceedings of the American Mathematical Society, 1971 Let f ( z ) f(z) be a normalized function, analytic and univalent in the open unit disc. It is shown that if g ( z ) = ∫ 0 z ( f ( t
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Geometric properties of the complex Baskakov-Stancu operators in the unit disk
Boletim da Sociedade Paranaense de Matemática, 2015 In this article, we determine certain conditions under which the partial sums involving thecomplex Baskakov-Stancu operators of analytic univalent functions of bounded turning are also of boundedturning.
Rabha Ibrahim
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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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