Results 21 to 30 of about 459,426 (297)

The exact computation of the number of zeros of a real polynomial in the open unit disk: An algebraic approach

Applied Mathematics Letters, 2000
The authors present an algorithm to compute the number of zeros of a complex polynomial inside the unit disk. Using the Schur-Cohn and Brown transforms they recursively associate to the given polynomial a sequence of polynomials and consider the number of sign changes in the sequence of their values at zero.
B. Gleyse, M. Moflih
openalex   +2 more sources

Numerical computation of the number of zeros of real polynomials in the open unit disk using a Chebyshev polynomials representation

Applied Mathematics Letters, 2010
AbstractWe present a general and efficient numerical method with low computational complexity for computing the number of zeros of a real polynomial in the unit disk.
B. Gleyse, A. Larabi
openalex   +2 more sources

Using conformal radii of the open unit disk sectors in distortion theorems for univalent functions

Complex Analysis and its Synergies
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Iryna Denega, Yaroslav Zabolotnyi
openalex   +3 more sources

Some Properties Of Univalent Function With Negative Coefficients Defined By Using a Linear Operator In The Open Unit Disk

Al-Qadisiyah Journal of Pure Science, 2020
Teba Rzaij Sabah, Abdul Rahman S. Juma
openalex   +3 more sources

Differential subordination, superordination results associated with Pascal distribution

AIMS Mathematics, 2023
This paper aims to study differential subordination and superordination preserving properties for certain analytic univalent functions with in the open unit disk.
K. Saritha, K. Thilagavathi
doaj   +1 more source

The Calabi invariant for Hamiltonian diffeomorphisms of the unit disk [PDF]

Bulletin de la Société Mathématique de France, 2021
In this article, we study the Calabi invariant on the unit disk usually defined on compactly supported Hamiltonian diffeomorphisms of the open disk. In particular we extend the Calabi invariant to the group of $C^1$ diffeomorphisms of the closed disk ...
Benoit Joly
semanticscholar   +1 more source

Applications of a certain q-integral operator to the subclasses of analytic and bi-univalent functions

AIMS Mathematics, 2021
In the present investigation, our aim is to define a generalized subclass of analytic and bi-univalent functions associated with a certain $q$-integral operator in the open unit disk $\mathbb{U}$.
Bilal Khan, H. M. Srivastava, Muhammad Tahir, Maslina Darus, Qazi Zahoor Ahmad, Nazar Khan   +5 more
doaj   +1 more source

Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator

Fractal and Fractional, 2023
This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk.
Isra Al-shbeil, Jianhua Gong, Timilehin Gideon Shaba   +2 more
doaj   +1 more source

On the Boundary Behavior of a Conformal Map of the Open Unit Disk into a Riemann Surface [PDF]

Indiana University Mathematics Journal, 1960
Maurice Heins
openalex   +3 more sources

Exact computation of the number of zeros of a real polynomial in the open unit disk by a determinant representation

, 1999
B. Gleyse, M. Moflih
openalex   +2 more sources