Conformable differential operators for meromorphically multivalent functions
We define a conformable diff-integral operator for a class of meromorphically multivalent functions. We show that this conformable operator adheres to the semigroup property.
Ibrahim Rabha W. +2 more
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Harmonic mappings and its directional convexity [PDF]
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]
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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Extreme points and support points of conformal mappings
There are three types of results in this paper. The first, extending a representation theorem on a conformal mapping that omits two values of equal modulus. This was due to Brickman and Wilken.
Peretz Ronen
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Second Hankel determinant for a class of analytic functions defined by q-derivative operator
In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
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The Relationships Between p−valent Functions and Univalent Functions
In this paper, we obtain some sufficient conditions for general p−valent integral operators to be the p−th power of a univalent functions in the open unit disk.
Çağlar Murat
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Meromorphic functions with small Schwarzian derivative [PDF]
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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Quasiconformal harmonic mappings and close-to-convex domains
Let f = h + ? be a univalent sense preserving harmonic mapping of the unit disk U onto a convex domain ?. It is proved that: for every a such that |a| < 1 (resp. |a| = 1) the mapping ?a = h + a?
David Kalaj
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Symmetric Toeplitz Determinants for Classes Defined by Post Quantum Operators Subordinated to the Limaçon Function [PDF]
The present extensive study is focused to find estimates for the upper bounds of the Toeplitz determinants. The logarithmic coefficients of univalent functions play an important role in different estimates in the theory of univalent functions, and in ...
SANGARAMBADI PADMANABHAN, Vijayalakshmi +2 more
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Some Distortion Theorems for Starlike Harmonic Functions [PDF]
MSC 2010: 30C55, 30C45Distortion and growth theorems are ...
Yavuz Duman, Emel
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