## 1,497 Citations

Majorization for Starlike and Convex functions with respect to Conjugate points

- Philosophy
- 2022

The concept of majorization is now well-known after the beautiful work of MacGregor, and then followed by Campbell in his sequel of papers. In this paper, we establish the sharp majorization results…

Multiple bubbles and fingers in a Hele-Shaw channel: complete set of steady solutions

- MathematicsJournal of Fluid Mechanics
- 2015

Analytical solutions for both a finite assembly and a periodic array of bubbles steadily moving in a Hele-Shaw channel are presented. The particular case of multiple fingers penetrating into the…

On the Riemann-Hilbert problem for the Beltrami equation

- Mathematics
- 2014

It is developed the theory of the Dirichlet problem for harmonic functions. On this basis, for the nondegenerate Beltrami equations in the quasidisks and, in particular, in the smooth domains, it is…

Lempert Theorem for stronly linearly convex domains with smooth boundaries

- Mathematics
- 2012

The aim of this paper is to present a detailed and slightly modified version of the proof of the Lempert Theorem in the case of non-planar stronlgy linearly convex domains with C^2 smooth boundaries.…

Mono-components for decomposition of signals

- Mathematics
- 2006

This note further carries on the study of the eigenfunction problem: Find f(t)=ρ(t)eiθ(t) such that Hf=−if, ρ(t)⩾0 and θ′(t)⩾0, a.e. where H is Hilbert transform. Functions satisfying the above…

Applications of special function theory to complex analysis

- Mathematics
- 2002

For any two points a1 and a2 in an open disk Δ on the complex sphere C¯, let L be a curve separating a 1 from a2 on C¯, which splits C¯ into two complementary regions B 1 ∋ a1 and B2 ∋ a2. Let l be a…

Quasiconformal mappings and periodic spectral problems in dimension two

- Mathematics
- 2001

We study spectral properties of second-order elliptic operators with periodic coefficients in dimension two. These operators act in periodic simply-connected waveguides, with either Dirichlet, or…

External rays to periodic points

- Mathematics
- 1996

We prove that for every polynomial-like holomorphic mapP, ifaεK (filled-in Julia set) and the componentKaofK containinga is either a point ora is accessible along a continuous curve from the…

Crossing Symmetric Spinning S-matrix Bootstrap: EFT bounds

- Physics
- 2021

We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and…