Results 11 to 20 of about 51,379 (267)
LOGARITHMIC COEFFICIENTS OF SOME CLOSE-TO-CONVEX FUNCTIONS [PDF]
Bulletin of the Australian Mathematical Society, 2016 The logarithmic coefficients$\unicode[STIX]{x1D6FE}_{n}$of an analytic and univalent function$f$in the unit disc$\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$with the normalisation$f(0)=0=f^{\prime }(0)-1$are defined by$\log (f(z)/z)=2\sum _{n=1}^{\infty }\unicode[STIX]{x1D6FE}_{n}z^{n}$.
Ali, Md. Firoz, Vasudevarao, A.
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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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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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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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Injectivity of sections of convex harmonic mappings and convolution theorems [PDF]
, 2015 In the article the authors consider the class ${\mathcal H}_0$ of sense-preserving harmonic functions $f=h+\overline{g}$ defined in the unit disk $|z|
A. W. Goodman +36 more
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Quasi-convex univalent functions
International Journal of Mathematics and Mathematical Sciences, 1980 In this paper, a new class of normalized univalent functions is introduced. The properties of this class and its relationship with some other subclasses of univalent functions are studied. The functions in this class are close-to-convex.
K. Inayat Noor, D. K. Thomas
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Radius problems for a subclass of close-to-convex univalent functions
International Journal of Mathematics and Mathematical Sciences, 1992 Let P[A,B], −1≤Bβ, 0 ...
Khalida Inayat Noor
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