19 citations · 115 across the 26 of their papers we have counts for
6 papers · 1 filter
A remarkable sequence of integers
Victor H. Moll, Dante Manna
A survey of properties of a sequence of coefficients appearing in the evaluation of a quartic definite integral is presented. These properties are of analytical, combinatorial and…
Definite integrals by the method of brackets. Part 1
Ivan Gonzalez, Victor H. Moll
A new heuristic method for the evaluation of definite integrals is presented. This method of brackets has its origin in methods developed for theevaluation of Feynman diagrams. We…
The evaluation of Tornheim double sums. Part2
Olivier Espinosa, Victor H. Moll
We provide an explicit formula for the Tornheim double series T(a,0,c) in terms of an integral involving the Hurwitz zeta function. For integer values of the parameters, a=m, c=n,…
The action of Hecke operators on hypergeometric functions
Victor H. Moll, Sinai Robins, K. Soodhalter
We study the action of Hecke operators on the set of hypergeometric functions. We show that the spectrum of these operators is the set of powers n^a and that polylogarithms play a…
A class of logarithmic integrals
Luis Medina, Victor Moll
We present a systematic study of integrals over [0,1] where the integrand is of the form Q(x) log log 1/x. Here Q is a rational function.
A dozen integrals: Russell-style
Tewodros Amdeberhan, Victor Moll
On June 15, 1876, the Proceedings of the Royal Society of London published a paper by Mr. W. H. L. Russell entitled "On certain integrals". The paper starts with "The following are…