Results 21 to 30 of about 13,231,449 (366)

Nowhere differentiable functions of analytic type on products of finitely connected planar domains [PDF]

open access: yes, 2017
Using Laurent decomposition and Mergelyan’s theorem combined with Baire’s category theorem, we prove generic nowhere differentiability on the distinguished boundary of functions of analytic type on products of planar domains bounded by finitely many ...
Mastrantonis, Vlasios   +1 more
core   +1 more source

Analytic cell decomposition and analytic motivic integration [PDF]

open access: yes, 2005
The main results of this paper are a Cell Decomposition Theorem for Henselian valued fields with analytic structure in an analytic Denef-Pas language, and its application to analytic motivic integrals and analytic integrals over $\FF_q((t))$ of big ...
Cluckers, R., Lipshitz, L., Robinson, Z.
core   +3 more sources

a*-families of analytic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
Using convolutions, a new family of analytic functions is introduced. This family, called a*-family, serves in certain situations to unify the study of many previously well known classes of analytic functions like multivalent convex, starlike, close-to ...
G. P. Kapoor, A. K. Mishra
doaj   +1 more source

Motivic-type Invariants of Blow-analytic Equivalence [PDF]

open access: yes, 2002
To a given analytic function germ $f:(\mathbb{R}^d,0) \to (\mathbb{R},0)$, we associate zeta functions $Z_{f,+}$, $Z_{f,-} \in \mathbb{Z} [[T]]$, defined analogously to the motivic zeta functions of Denef and Loeser.
Koike, Satoshi, Parusinski, Adam
core   +3 more sources

A new criterion for starlike functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
In this paper we shall get a new criterion for starlikeness, and the hypothesis of this criterion is much weaker than those in [1] and [2].
Ling Yi, Shusen Ding
doaj   +1 more source

Bohr Inequality for Odd Analytic Functions [PDF]

open access: yes, 2017
We determine the Bohr radius for the class of odd functions f satisfying $$|f(z)|\le 1$$|f(z)|≤1 for all $$|z|
I. Kayumov, S. Ponnusamy
semanticscholar   +1 more source

Stable Extrapolation of Analytic Functions [PDF]

open access: yesFoundations of Computational Mathematics, 2016
This paper examines the problem of extrapolation of an analytic function for x>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
L. Demanet, Alex Townsend
semanticscholar   +1 more source

Approximation of Analytic Functions by Chebyshev Functions

open access: yesAbstract and Applied Analysis, 2011
We solve the inhomogeneous Chebyshev's differential equation and apply this result for approximating analytic functions by the Chebyshev functions.
Soon-Mo Jung, Themistocles M. Rassias
doaj   +1 more source

Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator

open access: yesSymmetry, 2019
This article presents certain families of analytic functions regarding q-starlikeness and q-convexity of complex order γ ( γ ∈ C \ 0 ) . This introduced a q-integral operator and certain subclasses of the newly introduced classes are defined by using ...
Shahid Mahmood   +5 more
semanticscholar   +1 more source

Convex combination of analytic functions

open access: yesOpen Mathematics, 2017
Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Cho Nak Eun   +2 more
doaj   +1 more source

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