Martin Nicholson

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20172025

most citedQuadratic Transformations of Hypergeometric Function and Series with Harmonic Numbers

1 citations · 1 across the 8 of their papers we have counts for

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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…

math.CA2017

Two-dimensional Fourier transformations and double Mordell integrals

Martin Nicholson

Fourier transformations of several functions of one and two variables are evaluated and then used to derive some integral and series identities. It is shown that certain double Mor…

math.CA2017

Finite and infinite product transformations

Martin Nicholson

Several infinite products are studied that satisfy the transformation relation of the type $f (α) = f (1/ α)$ . For certain values of the parameters these infinite products reduce to mod…

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

Two-dimensional Fourier transformations and double Mordell integrals

Finite and infinite product transformations

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