Results 1 to 10 of about 357,419 (186)

On annealed elliptic Green function estimates [PDF]

, 2014
We consider a random, uniformly elliptic coefficient field $a$ on the lattice $\mathbb{Z}^d$. The distribution $\langle \cdot \rangle$ of the coefficient field is assumed to be stationary.
Daniel Marahrens, Daniel Marahrens, Felix Otto, Felix Otto   +3 more
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The 3d Stress-Tensor Bootstrap [PDF]

, 2017
We study the conformal bootstrap for 4-point functions of stress tensors in parity-preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of conformal symmetry, permutation symmetry, and conservation on the stress-tensor 4 ...
Dymarsky, Anatoly, Kos, Filip, Kravchuk, Petr, Poland, David, Simmons-Duffin, David   +4 more
core   +3 more sources

HARMONIC MAPPINGS WITH THE FIXED ANALYTIC PART

Проблемы анализа, 2021
In this article, we consider a class of sense-preserving harmonic mappings whose analytic part is convex in one direction. We prove that functions in this class are close-to-convex for certain values of parameters.
Rajbala, Jugal K. Prajapat
doaj   +1 more source

Coefficient Bounds for Certain Subclasses of Bi-Univalent Function

Abstract and Applied Analysis, 2013
We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses.
G. Murugusundaramoorthy, N. Magesh, V. Prameela   +2 more
doaj   +1 more source

Sharp Coefficient Bounds for a Subclass of Bounded Turning Functions with a Cardioid Domain

Axioms, 2023
In the present paper, we give a new simple proof on the sharp bounds of coefficient functionals related to the Carathéodory functions and make a correction on the extremal functions.
Lei Shi, Hari Mohan Srivastava, Nak Eun Cho, Muhammad Arif   +3 more
doaj   +1 more source

"Clumpiness" Mixing in Complex Networks [PDF]

, 2008
Three measures of clumpiness of complex networks are introduced. The measures quantify how most central nodes of a network are clumped together. The assortativity coefficient defined in a previous study measures a similar characteristic, but accounts ...
, , Amauri Gutierrez, Batagelj V Mrvar A, Ben-Naim E, Bornholdt S, Chakrabarti N K, Chertkov M, Donetti L, Ernesto Estrada, Estrada E, Estrada E, Harary F, Horn R A, Huang W, Lambiotte R, Nakanishi N, Naomichi Hatano, Nicolai H, Park J, Rana Atilgan A, Wasserman S   +21 more
core   +2 more sources

Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions

Axioms, 2023
We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these functions.
Isra Al-shbeil, Nazar Khan, Fairouz Tchier, Qin Xin, Sarfraz Nawaz Malik, Shahid Khan   +5 more
doaj   +1 more source

Stability analysis of spectral methods for hyperbolic initial-boundary value systems [PDF]

, 1987
A constant coefficient hyperbolic system in one space variable, with zero initial data is discussed. Dissipative boundary conditions are imposed at the two points x = + or - 1. This problem is discretized by a spectral approximation in space.
Gottlieb, D., Lustman, L., Tadmor, E.
core   +2 more sources

Radius Constants for Functions with the Prescribed Coefficient Bounds

Abstract and Applied Analysis, 2014
For an analytic univalent function f(z)=z+∑n=2∞anzn in the unit disk, it is well-known that an≤n for n≥2. But the inequality an≤n does not imply the univalence of f.
Om P. Ahuja, Sumit Nagpal, V. Ravichandran   +2 more
doaj   +1 more source

On the normal structure coefficient and the bounded sequence coefficient [PDF]

Proceedings of the American Mathematical Society, 1983
The two notions of normal structure coefficient and bounded sequence coefficient introduced by Bynum are shown to be the same. A lower bound for the normal structure coefficient in L p {L^p} , p > 2 p > 2 , is also given.
openaire   +2 more sources