activity
20052015
most citedProperties of generalized univariate hypergeometric functions

50 citations · 94 across the 8 of their papers we have counts for

collaborators

8 papers

astro-ph.EP2015★ 12 cited

Fourier spectra from exoplanets with polar caps and ocean glint

P. M. Visser, F. J. van de Bult

The weak orbital-phase dependent reflection signal of an exoplanet contains information on the planet surface, such as the distribution of continents and oceans on terrestrial plan…

math.CA2013

More basic hypergeometric limits of the elliptic hypergeometric beta integral

Fokko J. van de Bult

In this article we continue the work from arXiv:0902.0621. In that article Eric Rains and the present author considered the limits of the elliptic beta integral as p->0 while the p…

math.CA2011★ 5 cited

Two multivariate quadratic transformations of elliptic hypergeometric integrals

Fokko Joppe van de Bult

Eric Rains conjectured several quadratic transformations between multivariate elliptic hypergeometric functions in "Elliptic Littlewood Identities", with the integrand multiplied b…

math.CA2009★ 9 cited

An elliptic hypergeometric beta integral transformation

Fokko J. van de Bult

In this article we prove a new elliptic hypergeometric integral identity. It previously appeared (as a conjecture) in articles by Rains, and Spiridonov and Vartanov. Moreover it gi…

math.CO2008

The symmetries of the 2phi1

F. J. van de Bult

We show that the only symmetries of the 2phi1 within a large class of possible transformations are Heine's transformations. The class of transformations considered consists of equa…

math.NT2008★ 2 cited

Mean value one of prime-pair constants

Fokko van de Bult, Jaap Korevaar

For k greater than 1 and r different from 0, let pi^k_{2r}(x) denote the number of prime pairs (p,p^k+2r) with p not exceeding (large) x. By the Bateman-Horn conjecture, the functi…