Results 51 to 60 of about 13,555,709 (372)

Equivalence relations for two variable real analytic function germs [PDF]

, 2008
For two variable real analytic function germs we compare the blow-analytic equivalence in the sense of Kuo to the other natural equivalence relations. Our main theorem states that $C^1$ equivalent germs are blow-analytically equivalent.
S. Koike, A. Parusiński
semanticscholar   +1 more source

Exact results and scaling properties of small-world networks

, 1999
We study the distribution function for minimal paths in small-world networks. Using properties of this distribution function, we derive analytic results which greatly simplify the numerical calculation of the average minimal distance, $\bar{\ell}$, and ...
A. Barrat, A.-L. Barabasi, B. Bollobás, C.F. Moukarzel, D. Stroud, D.J. Watts, E. Almaas, M. Barthelemy, M. Barthelemy, M.E.J. Newman, R. Albert, R. V. Kulkarni, S. Milgram, S.A. Pandit, Y. Kuramoto   +14 more
core   +1 more source

Inequalities of harmonic univalent functions with connections of hypergeometric functions

Open Mathematics, 2015
Let SH be the class of functions f = h+g that are harmonic univalent and sense-preserving in the open unit disk U = { z : |z| < 1} for which f (0) = f'(0)-1=0. In this paper, we introduce and study a subclass H( α, β) of the class SH and the subclass NH(
Sokół Janusz, Ibrahim Rabha W., Ahmad M. Z., Al-Janaby Hiba F.   +3 more
doaj   +1 more source

On Classes of Non-Carathéodory Functions Associated with a Family of Functions Starlike in the Direction of the Real Axis

Axioms, 2022
In this paper, we introduce a new class of analytic functions subordinated by functions which is not Carathéodory. We have obtained some interesting subordination properties, inclusion and integral representation of the defined function class.
Kadhavoor R. Karthikeyan, Nak Eun Cho, Gangadharan Murugusundaramoorthy   +2 more
doaj   +1 more source

On the non-analyticity locus of an arc-analytic function [PDF]

, 2009
In this paper we show that the non-analyticity locus of an arc-analytic function is arc-symmetric. Recall that a function is called arc-analytic if it is real analytic on each real analytic arc.
K. Kurdyka, A. Parusiński
semanticscholar   +1 more source

Codimension two CR singular submanifolds and extensions of CR functions

, 2017
Let $M \subset {\mathbb{C}}^{n+1}$, $n \geq 2$, be a real codimension two CR singular real-analytic submanifold that is nondegenerate and holomorphically flat.
Lebl, Jiri, Noell, Alan, Ravisankar, Sivaguru   +2 more
core   +1 more source

Subordination Properties of Certain Operators Concerning Fractional Integral and Libera Integral Operator

Fractal and Fractional, 2022
The results contained in this paper are the result of a study regarding fractional calculus combined with the classical theory of differential subordination established for analytic complex valued functions.
Georgia Irina Oros, Gheorghe Oros, Shigeyoshi Owa   +2 more
doaj   +1 more source

An Inequality for Analytic Functions [PDF]

Proceedings of the American Mathematical Society, 1974
If F F denotes the boundary value of a function f ∈ H p , 1 ≤ p ≤ ∞ f \in {H^p}, 1 \leq p \leq \infty , the infimum of the measure of { θ | |
openaire   +1 more source

Norm of an integral operator on some analytic function spaces on the unit disk

, 2013
If f is an analytic function in the unit disc , a class of integral operators is defined as follows: If(h)(z)=∫0zf(w)h′(w)dw,h∈H(D),z∈D.
Hao Li, Songxiao Li
semanticscholar   +1 more source

Analytic Approach to Perturbative QCD

, 1999
The two-loop invariant (running) coupling of QCD is written in terms of the Lambert W function. The analyticity structure of the coupling in the complex Q^2-plane is established.
Arbuzov B. A., B. A. MAGRADZE, Bogoliubov N. N., Bogoliubov N. N., Bogolubov N. N., Brown L. S., Coquereaux R., Ellis J., Geiger K., Grunberg G., Mandelstam S., Milton K. A., Oehme R., Oehme R., Shirkov D. V., Stevenson P. M.   +15 more
core   +1 more source