Results 31 to 40 of about 289,175 (312)
Note on the zeros of functions with univalent derivatives
International Journal of Mathematics and Mathematical Sciences, 1986 Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0)−1, such that each f(k)(z), k≥0 is univalent in D. In this paper we establish conditions for some functions to belong to class E.
Mohammad Salmassi
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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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Coefficient Problems for Certain Close-to-Convex Functions
Bulletin of the Iranian Mathematical Society, 2023 In this paper, sharp bounds are established for the second Hankel determinant of logarithmic coefficients for normalised analytic functions satisfying certain differential inequality.
Mundalia, Mridula +1 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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Estimate for Schwarzian derivative of certain close-to-convex functions
AIMS Mathematics, 2021 Let $ f(z) $ be analytic in the unit disk with $ f(0) = f'(0)-1 = 0 $. For the following close-to-convex subclasses: $ \Re \{(1-z)f'(z)\} > 0, $ $ \Re \{(1-z^{2})f'(z)\} > 0, $ $ \Re \{(1-z+z^{2})f'(z)\} > 0 $ and $ \Re \{(1-z)^{2}f'(z)\} > ...
Zhenyong Hu, Xiaoyuan Wang , Jinhua Fan
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On Minimal Valid Inequalities for Mixed Integer Conic Programs [PDF]
, 2015 We study disjunctive conic sets involving a general regular (closed, convex, full dimensional, and pointed) cone K such as the nonnegative orthant, the Lorentz cone or the positive semidefinite cone.
Kılınç-Karzan, Fatma
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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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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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Geometric properties of basic hypergeometric functions
, 2014 In this paper we consider basic hypergeometric functions introduced by Heine. We study mapping properties of certain ratios of basic hypergeometric functions having shifted parameters and show that they map the domains of analyticity onto domains convex ...
Agrawal, Sarita, Sahoo, Swadesh
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