An extremal problem for certain subharmonic functions in the plane.
An extremal problem for harmonic measure.
An extremal problem for polynomials with a prescribed value at a given point of the real axis.
An extremal property on entire functions with positive zeros.
An F. and M. Riesz theorem for a class of infinitely connected regions
An ideal boundary for domains in -space.
An Improved Calculation of the General Elliptic Integral of the Second Kind in the Neighbourhood of x= 0.
An improvement of Hayman's inequality on an angular domain
We investigate the properties of meromorphic functions on an angular domain, and obtain a form of Yang's inequality on an angular domain by reducing the coefficients of Hayman's inequality. Moreover, we also study Hayman's inequality in different forms, and obtain accurate estimates of sums of deficiencies.
An indestructible Blaschke product in the little Bloch space.
The little Bloch space, B0, is the space of all holomorphic functions f on the unit disk such that limlzl→1 lf'(z)l (1- lzl2) = 0. Finite Blaschke products are clearly in B0, but examples of infinite products in B0 are more difficult to obtain (there are now several constructions due to Sarason, Stephenson and the author, among others). Stephenson has asked whether B0 contains an infinite, indestructible Blaschke product, i.e., a Blaschke product B so that (B(z) - a)/(1 - âB(z)), is also a Blaschke...
An inequality associated with some entire functions.
An Inequality for Trigonometric Polynomials
The main result says in particular that if is a trigonometric polynomial of degree n having all its zeros in the open upper half-plane such that |t(ξ)| ≥ μ on the real axis and cₙ ≠ 0, then |t’(ξ)| ≥ μn for all real ξ.
An inequality for univalent functions due to Dvořák
An inequality involving the absolute value of an entire function and the counting function of its zeros.
An inequality on solutions of heat equation.
An initial and boundary value problem for nonlinear composite type systems of three equations.
An Integral Equation Method for the Numerical Conformal Mapping of Interior, Exterior and Doubly-Connected Domains
An integral formula for the derivatives of solutions of certain elliptic systems
An integral formula of hyperbolic type for solutions of the Dirac equation on Minkowski space with initial conditions on a hyperboloid
The Dirac equation for spinor-valued fields on the Minkowski space of even dimension form a hyperbolic system of partial differential equations. In the paper, we are showing how to reconstruct the solution from initial data given on the upper sheet of the hyperboloid. In particular, we derive an integral formula expressing the value of in a chosen point as an integral over a compact cycle given by the intersection of the null cone with in the Minkowski space .
An integral involving the generalized zeta function.
An integral operator associated with differential superordinations.