Results 11 to 20 of about 50,259 (246)

Characterization of the asymptotic Teichmüller space of the open unit disk through shears [PDF]

Pure and Applied Mathematics Quarterly, 2014
We give a parametrization to the asymptotic Teichmuller space of the open unit disk through equivalent classes of shear functions induced by quasisymmetric homeomorphisms on the Farey tesselation of the unit disk. Then using the parametrization, we define a new metric on the asymptotic Teichmuller space. Two other related metrics are also introduced on
Fan, Jinhua, Hu, Jun
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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.
Lourenço, M. Lilian, Vieira, Daniela M.
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Formal Flows on the Non-Archimedean Open Unit Disk [PDF]

Compositio Mathematica, 2000
This paper deals with group actions of one-dimensional formal groups defined over the ring of integers in a finite extension of the p -adic field, where the space acted upon is the maximal ideal in the ring of integers of an algebraic closure of the p ...
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Algebraic computation of the number of zeros of a complex polynomial in the open unit disk by a polynomial representation

Applied Mathematics Letters, 2011
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.
Bernard Gleyse, A. Larabi, M. Moflih
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Construction of Planar Harmonic Functions

International Journal of Mathematics and Mathematical Sciences, 2007
Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f=h+g¯, where h and g are analytic in the open unit disk.
Jay M. Jahangiri, Herb Silverman, Evelyn M. Silvia   +2 more
doaj   +1 more source

A fixed point theorem for analytic functions

Fixed Point Theory and Applications, 2005
We prove that each analytic self-map of the open unit disk which interpolates between certain n-tuples must have a fixed point.
Valentin Matache
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A criterion for p-valently starlike functions

International Journal of Mathematics and Mathematical Sciences, 1994
The object of the present paper is to prove a criterion for p-valently starlike functions in the open unit disk.
Shigeyoshi Owa, Mamoru Nunokawa, Seiichi Fukui   +2 more
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Some criteria for univalence of certain integral operators

International Journal of Mathematics and Mathematical Sciences, 2004
We derive some criteria for univalence of certain integral operators for analytic functions in the open unit disk.
Virgil Pescar, Shigeyoshi Owa
doaj   +1 more source

Fourth Hankel and Toeplitz determinant estimates for certain analytic functions associated with Four Leaf function

Extracta Mathematicae
The objective of this paper is to establish initial coefficient inequalities, Upper bounds to the Hankel and Toeplitz determinants for certain normalized univalent functions defined on the open unit disk D in the complex plane related to the analytic ...
R. Rudrani, R. Bharavi Sharma, S. Sambasiva Rao   +2 more
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Geometric Inequalities via a Symmetric Differential Operator Defined by Quantum Calculus in the Open Unit Disk

Journal of Function Spaces, 2020
The present investigation covenants with the concept of quantum calculus besides the convolution operation to impose a comprehensive symmetric q-differential operator defining new classes of analytic functions. We study the geometric representations with applications.
Rabha W. Ibrahim, Rafida M. Elobaid, Suzan J. Obaiys   +2 more
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