Moments of combinatorial and Catalan numbers

In this paper we obtain the moments {Φm}_m?0 defined by

     

New identities in the Catalan triangle

In this paper we prove new identities in the Catalan triangle whose (n,p) entry is defined by

     

Non-trapping magnetic fields and Morrey-Campanato estimates for Schrödinger operators

We prove some uniform in ? a priori estimates for solutions of the equation

     

On the structure of positive radial solutions to an equation containing a p-Laplacian with weight

Let A,B:(0,∞)?(0,∞) be two given weight functions and consider the equation

     

Lifting Bailey pairs to WP-Bailey pairs

A pair of sequences such that and

     

Weighted estimates for a class of multilinear fractional type operators

In this paper, a class of multiple fractional type weights is defined as

     

Improvement of Newman inequality

Let . Newman inequality is

     

Hamiltonian flow over deformations of ordinary double points

We cannot see from

     

On a max-type and a min-type difference equation

This note shows that every positive solution to the following third order non–autonomous max-type difference equation

when is a three-periodic sequence of positive numbers, is periodic with period three. The same result was proved for the following min-type difference equation

     

On multicolour noncomplete Ramsey graphs of star graphs

Given graphs , where k≥2, the notation