Results 11 to 20 of about 50,851 (256)
New Criteria for Univalent, Starlike, Convex, and Close-to-Convex Functions on the Unit Disk [PDF]
Mathematics Interdisciplinary Research, 2020 In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian +2 more
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On a Subclass of Close-to-Convex Functions [PDF]
Bulletin of the Iranian Mathematical Society, 2018 11 ...
Chung, Yao Liang +2 more
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Starlike and convex functions of complex order involving generalized multiplier transformations [PDF]
Mathematica Bohemica, 2021 We investigate the starlike, convex and close-to-convex functions of complex order involving generalized multiplier transformations by means of the Hadamard product.
Adela Osman Mostafa +2 more
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An application of the generalized Bessel function [PDF]
Mathematica Bohemica, 2017 We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Hanan Darwish +2 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 generalization of close‐to‐convexity [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 A class Tk of analytic functions in the unit disc is defined in which the concept of close‐to‐convexity is generalized. A necessary condition for a function f to belong to Tk, raduis of convexity problem and a coefficient result are solved in this paper.
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Doubly close-to-convex functions
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dorff, Michael +2 more
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On alpha-close-to-convex functions of order beta
International Journal of Mathematics and Mathematical Sciences, 1986 Let Mβ(α)[α≥0 and β≥0] denote the class of all functionsf(z)=z+∑n=2∞anznanalytic in the unit disc U with f′(z)f(z)/z≠0 and which satisfy for z=reiθ∈U the condition ∫θ1θ2Re{(1−α)zf′(z)f(z)+α(1+zf″(z)f′(z))}dθ>−βπ for all θ2>θ1.
M. A. Nasr
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On Starlike and Close-to-Convex Functions [PDF]
Proceedings of the London Mathematical Society, 1963 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135466/1/plms0290 ...
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Harmonic close‐to‐convex mappings [PDF]
International Journal of Stochastic Analysis, 2000 Sufficient coefficient conditions for complex functions to be close‐to‐convex harmonic or convex harmonic are given. Construction of close‐to‐convex harmonic functions is also studied by looking at transforms of convex analytic functions. Finally, a convolution property for harmonic functions is discussed.
Jahangiri, Jay M., Silverman, Herb
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