Martin Nicholson

activity

20172025

collaborators

Showing math.CAShow all

3 papers · 1 filter

math.CA2025

On a specific family of orthogonal polynomials of Bernstein-Szegö type

Martin Nicholson

We study a class of weight functions on $[- 1, 1]$ , which are special cases of the general weights studied by Bernstein and Szegö, as well as their extentions to the interval $[-a,1]…

math.CA2021

Self-reciprocal functions and double Mordell integrals

Martin Nicholson

The theory of self-reciprocal functions is applied to the study Mordell type integrals. We find two particular eigenfunctions of the double cosine Fourier transform and then use th…

math.CA2017

Integrals containing the infinite product $\prod_{n = 0}^{\infty} [1 + (\frac{x}{b + n})^{3}]$

Martin Nicholson

We study several integrals that contain the infinite product $n = 0 \prod \infty [1 + (\frac{x}{b + n})^{3}]$ in the denominator of their integrand. T…

On a specific family of orthogonal polynomials of Bernstein-Szegö type

Self-reciprocal functions and double Mordell integrals

Integrals containing the infinite product ∏n=0∞​[1+(b+nx​)3]

Integrals containing the infinite product $\prod_{n = 0}^{\infty} [1 + (\frac{x}{b + n})^{3}]$