On Harmonic Functions Defined by Differential Operator with Respect to k-Symmetric Points
International Journal of Mathematics and Mathematical Sciences, 2014 We introduce new classes MHkσ,s(λ,δ,α) and M¯Hkσ,s(λ,δ,α) of harmonic univalent functions with respect to k-symmetric points defined by differential operator. We determine a sufficient coefficient condition, representation theorem, and distortion theorem.
Afaf A. Ali Abubaker, Maslina Darus
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A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions
International Journal of Mathematics and Mathematical Sciences, 2012 The purpose of the present paper is to establish some new results giving the sharp bounds of the real parts of ratios of harmonic univalent functions to their sequences of partial sums by using convolution.
Saurabh Porwal
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On a certain subclass of harmonic univalent functions
Journal of Physics: Conference Series, 2019 This paper introduces a class of complex-valued harmonic functions on the open unit disk, that are sense preserving and univalent. Properties for the class and are established.
Yuzaimi Yunus +2 more
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On a New Subclass of Harmonic Univalent Functions
, 2020 In the acquaint article, we scrutinize some fundamental attribute of a subclass of harmonic univalent functions defined by a new alteration. Like these, coefficient disparities, distortion bounds, convolutions, convex combinations and extreme points.
Yalcin, S., Bayram, H.
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On a new subclass of harmonic univalent functions defined by multiplier transformation [PDF]
Mathematica Moravica, 2015 The purpose of the present paper is to introduce a new subclass of harmonic univalent functions by using Multiplier transformation. Coefficient estimates, distortion bounds, extreme points, convolution condition and convex combination for functions ...
Porwal Saurabh
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Radius Constants for Functions with the Prescribed Coefficient Bounds
Abstract and Applied Analysis, 2014 For an analytic univalent function f(z)=z+∑n=2∞anzn in the unit disk, it is well-known that an≤n for n≥2. But the inequality an≤n does not imply the univalence of f.
Om P. Ahuja +2 more
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UNIVALENT HARMONIC FUNCTIONS GENERATED BY RUSCHEWEYH DERIVATIVES OF ANALYTIC FUNCTIONS
Acta Universitatis Apulensis, 2019 Summary: For \(\lambda\ge 0, p > 0\) and a normalized univalent function \(f\) defined on the unit disk \(\mathbb{D}\), we consider the harmonic function defined by \[ T_{\lambda,p}[f](z) = \frac{\mathcal{D}^\lambda f(z) + pz(\mathcal{D}^\lambda f(z))'}{p + 1}+\frac{\overline {\mathcal{D}^\lambda f(z)-pz(\mathcal{D}^\lambda f(z))'}}{p + 1}, \quad z\in \
Ahuja, Om P. +2 more
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On a New Subclass of Univalent Harmonic Functions That Defined by Integral Operator
Journal of Kufa for Mathematics and Computer, 2017 In this paper, we investigate several properties of the harmonic class ( ) we discuss the coefficient inequality, the distortion bounds theorem, the closure theorem, convex combinations, Bernardi integral operator and integral convolution property.
Waggas Galib Atshan +1 more
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On the analytical part of harmonic univalent functions defined by generalized SA˘LA˘GEAN Drivatives [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2009 In the present paper and by making use the generalized S.al.agean derivatives we have introduce and study a class of analytic function and prove the coefficient conditions, distortion bound, fractional integral operator, convex combination, and radius of
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Quantum Chern-Simons Theories on Cylinders: BV-BFV Partition Functions. [PDF]
Commun Math Phys, 2023 Cattaneo AS, Mnev P, Wernli K.
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