Martin Nicholson

activity

20172021

collaborators

3 papers

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.GM2020

On certain finite and infinite sums of inverse tangents

Martin Nicholson

An identity is proved connecting two finite sums of inverse tangents. This identity is discretized version of Jacobi's imaginary transformation for the modular angle from the theor…

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…

Self-reciprocal functions and double Mordell integrals

On certain finite and infinite sums of inverse tangents

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

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