Results 11 to 20 of about 459,426 (297)

Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk [PDF]

Fundamenta Mathematicae, 2012
Michael Handel proved in Handel (1999) the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity. More recently, the author generalized Handel's theorem to a wider class of cycles of links (
Juliana Xavier
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New classes of spaceable sets of analytic functions on the open unit disk

Colloquium Mathematicum, 2022
In this paper we study an algebraic and topological structure inside the following sets of special functions: Bloch functions defined on the open unit disk that are unbounded and analytic functions of bounded type defined a Banach algebra E into E, which are not Lorch-analytic.
Mary Lilian Lourenço, Daniela M. Vieira
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Fekete Szego coefficient for the Janowski \alpha-spirallike functions in open unit disk

International Journal of Mathematical Analysis, 2014
The aim of this paper is to gives sharp bound of the Fekete Szego coefficient functional for the Janowski α-Spirallike functions associated with the k th root transformation.
Srinivasan Annamalai, C. Ramachandran, G. Murugusundaramoorthy   +2 more
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An efficient numerical method for computation of the number of complex zeros of real polynomials inside the open unit disk [PDF]

Journal of the Association of Arab Universities for Basic and Applied Sciences, 2015
AbstractIn this paper, a simple and efficient numerical method is proposed for computing the number of complex zeros of a real polynomial lying inside the unit disk. The proposed protocol uses the Boubaker polynomial expansion scheme (BPES) to build sequence of polynomials based on the concept of Sturm sequences.
Muhammad Mujtaba Shaikh, Karem Boubaker
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Various operators in relation to fractional order calculus and some of their applications to normalized analytic functions in the open unit disk

TURKISH JOURNAL OF MATHEMATICS, 2021
Summary: The main object of this scientific work is firstly to introduce various operators of fractional calculus (that is that fractional integral and fractional derivative(s)) in certain domains of the complex plane, then to determine certain results correlating with normalized analytic functions, which are analytic in certain domains in the complex ...

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Fekete-Szego¨ Coefficient for the Janowski Α-Q-Spirallike Functions in Open Unit Disk

International Journal of Innovative Technology and Exploring Engineering, 2019
In this paper we look at functions which are Janowski α-q-spirallike associated with the mth root transformation using the concept of the q-derivative introduced by Jackson[6] Specifically we look at functions f which are Janowski α-q-spirallike with power senes of the form f(z) = z + a2 z 2 + a3 z 3 +
R Ali, S Lee, V Ravichandran, S Supramanian, R Ali, V Ravichandran, N Seenivasagan, S Annamalai, C Ramachandran, G Murugusundaramoorthy, I Jack, F Jackson, F Koegh, E Merkes, R Libera, K Padmanabhan, M Ganesan, Y Polatoglu, Y Polatoglu, A Sen, V Ravichandran, C Selvaraj, Rajalakshmi Rajagopal, M Robertson, L Spacek   +24 more
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Examining the behavior of parametric convex operators on a certain set of analytical functions [PDF]

MethodsX
Mathematical operators that maintain convex functional combinations involving at least one parameter are called parametric convex operators (PCOs) on analytic function spaces.
Ibtisam Aldawish
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Coefficient bounds concerning certain generalized subclasses of analytic and univalent functions in the open unit disk [PDF]

Science Focus Journal, 2021
Hamzat Olusegun, Fadipe-Joseph Olubunmi, Fagbemiro Olalekan, K Babalola, T Opoola, M Darus, S Owa, J Hamzat, J Hamzat, M Olayiwola, J Hamzat, O Adeleke   +11 more
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Algebraic computation of the number of zeros of a complex polynomial in the open unit disk by a polynomial representation

Computers & Mathematics with Applications, 2010
Starting from the Schur-Cohn transformation and followed by the Brown transformation of a real polynomial, the authors establish a formula giving the number of the zeros in question.
B. Gleyse, A. Larabi, M. Moflih
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On the structure of the matrix in Sturm algorithm for determining the number of zeros in the open unit disk for a real polynomial

STUDIES IN ENGINEERING AND EXACT SCIENCES
In 1984, C.W Schelin presented a numerical method for calculating the number of zeros of a real polynomial inside the unit disk using the argument principle and Cauchy index on [-1, 1] inspired by sturm’s algorithm [3], this method is based on calculation of the generalized Sturm sequence in Chebyshev form, however in some cases this algorithm does not
Naima Benmokhtar, A. Larabi
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