Results 31 to 40 of about 1,700,243 (293)
Close-to-convex functions defined by fractional operator [PDF]
, 2013 Let S denote the class of functions f(z) = z + a2z2 + ... analytic and univalent in the open unit disc D = {z ∈ Cz| < 1}. Consider the subclass and S∗ of S, which are the classes of convex and starlike functions, respectively. In 1952, W.
Aydoğan, Seher Melike +2 more
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Logarithmic Coefficients Inequality for the Family of Functions Convex in One Direction
Mathematics, 2023 The logarithmic coefficients play an important role for different estimates in the theory of univalent functions. Due to the significance of the recent studies about the logarithmic coefficients, the problem of obtaining the sharp bounds for the modulus ...
Ebrahim Analouei Adegani +3 more
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A Generalized Class of Close-to-Convex Functions [PDF]
Kragujevac Journal of Mathematics, 2020 Let ℋαϕ(β) denote the class of functions f, analytic in the open unit disk ???? which satisfy the condition ( ( ) ) zf-′(z-)- zf-′′(z-) ℜ (1 − α) + α 1 + ′ > β, z ∈ ????, ϕ(z ) f (z ) where α, β are pre-assigned real numbers and ϕ(
Kaur, Pardeep, Billing, Sukhwinder Singh
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Close‐to‐convexity of normalized Dini functions [PDF]
Mathematische Nachrichten, 2016 In this paper necessary and sufficient conditions are deduced for the close‐to‐convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag–Leffler expansions for Bessel functions ...
Baricz, Árpád +2 more
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Fractional Differential Operator Based on Quantum Calculus and Bi-Close-to-Convex Functions
MathematicsIn this article, we first consider the fractional q-differential operator and the λ,q-fractional differintegral operator Dqλ:A→A. Using the λ,q-fractional differintegral operator, we define two new subclasses of analytic functions: the subclass S*q,β,λ ...
Zeya Jia +5 more
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On some geometric properties for the combination of generalized Lommel–Wright function
Journal of Inequalities and Applications, 2021 The scope of our investigation is to study the geometric properties of the normalized form of the combination of generalized Lommel–Wright function J ν , λ μ , m $J_{\nu ,\lambda }^{\mu ,m}$ defined by J ν , λ μ , m ( z ) : = Γ m ( λ + 1 ) Γ ( λ + ν + 1 )
Hanaa M. Zayed, Teodor Bulboacă
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On a Class of Close-to-Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1972 We look at functionsf(z) for which there correspond functions +(z) convex of order a such that Re{f'(z)lq'(z)}>fl. We examine the influence of the second coefficient of +(z) on this class. In particular, distortion, covering, and radius of convexity theorems are proved.
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Hadamard Inequalities for Wright-Convex Functions
, 2003 In this paper, we establish serveral inequalities of Hadamard’s type for Wright-Convex ...
G.-S. Yang +7 more
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An Arclength Problem for Close-to-Convex Functions [PDF]
Journal of the London Mathematical Society, 1966 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135569/1/jlms0181 ...
Clunie, J., Duren, P. L.
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Bounded functions starlike with respect to symmetrical points
International Journal of Mathematics and Mathematical Sciences, 1996 Let P[A,B], −1 ...
Fatima M. Al-Oboudi
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