Results 11 to 20 of about 59 (59)
Harmonic mappings and its directional convexity [PDF]
, 2021 For any $\mu _{j}\ (\mu _{j}\in \mathbb{C},\left\vert \mu _{j}\right\vert=1,j=1,2)$, we consider the rotations $f_{\mu _{1}}$ and $F_{\mu _{2}}$ ofright half-plane harmonic mappings $f,F\in S_{\mathcal{H}}$ which are CHDwith the prescribed dilatations ...
Omendra MISHRA, Omendra MISHRA +1 more
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Some properties of a new subclass of analytic univalent functions defined by multiplier transformation [PDF]
, 2019 The purpose of the present paper is to study the integral operator of the form ∫z0{Inμf(t)t}δdt where $f$ belongs to the subclass $C(n,\alpha,\beta, \mu)$ and $\delta$ is a real number.
SINGH, Surya Pratap, PORWAL, Saurabh
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A factorization theorem for Logharmonic mappings
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 14, Page 853-856, 2003., 2003 We give the necessary and sufficient condition on sense‐preserving logharmonic mapping in order to be factorized as the composition of analytic function followed by a univalent logharmonic mapping.
Zayid Abdulhadi, Yusuf Abumuhanna
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On some new properties of the spherical curvature of stereographically projected analytic curves
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 26, Page 1633-1644, 2003., 2003 We discover new information about the spherical curvature of stereographically projected analytic curves. To do so, we first state formulas for the spherical curvature and spherical torsion of the curves on S2 which result after stereographically projecting the image curves of analytic, univalent functions belonging to the class 𝒮.
Stephen M. Zemyan
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Typically real logharmonic mappings
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 1, Page 1-9, 2002., 2002 We consider logharmonic mappings of the form f(z)=z|z| 2βhg¯ defined on the unit disk U which are typically real. We obtain representation theorems and distortion theorems. We determine the radius of univalence and starlikeness of these mappings. Moreover, we derive a geometric characterization of such mappings.
Zayid Abdulhadi
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Meromorphic functions with small Schwarzian derivative [PDF]
, 2018 We consider the family of all meromorphic functions f of the form f (z) = 1 + b + b z + b z2 + · · · z 0 1 2 analytic and locally univalent in the puncture disk D0 := {z ∈ C : 0 < |z| < 1}.
SAHOO, Swadesh Kumar, ARORA, Vibhuti
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A note on logharmonic mappings
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 7, Page 449-451, 2002., 2002 We consider the problem of minimizing the moments of order p for a subclass of logharmonic mappings.
Zayid Abdulhadi
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On radii of starlikeness and convexity for convolutions of starlike functions
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 403-404, 1997., 1995 In this paper, we obtain the radiuses of univalence, starlikeness and convexity for convolutions of starlike functions.
Yi Ling, Shusen Ding
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Extreme points and convolution properties of some classes of multivalent functions
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 381-388, 1996., 1991 This paper deals with the extreme points of closed convex hulls of the classes of multivalent functions related to Ruscheweyh derivatives and then these are used to determine the coefficient bounds. Finally, we investigate convolution conditions and other properties of the functions in these classes.
O. P. Ahuja
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Close‐to‐starlike logharmonic mappings
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 563-573, 1996., 1994 We consider logharmonic mappings of the form defined on the unit disc U which can be written as the product of a logharmonic mapping with positive real part and a univalent starlike logharmonic mapping. Such mappings will be called close‐to‐starlike logharmonic mappings. Representation theorems and distortion theorems are obtained.
Zayid Abdulhadi
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