most citedRational Landen transformations on the real line

10 citations · 12 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2008

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…

math.CA2008

An iterative method for numerical integration of rational functions

Dante Manna, Victor Moll

The rational Landen transformations are used to produce a highly efficient numerical method for the integration of rational functions.

math.CA2007

A simple example of a new class of Landen transformation

Dante Manna, Victor H. Moll

The rational Landen transformation is a map on the coefficients of a rational integrand that preserves the value of the integral. This is the rational analog of the classical Lande…

math.CA2007★ 10 cited

Rational Landen transformations on the real line

Dante Manna, Victor H. Moll

The rational Landen transformation is a map on the space of coefficients of a rational integrand that preserves the value of the integral. We provide a family of these transformati…

math.NT2007

The 2-adic valuations of Stirling numbers

Tewodros Amdeberhan, Dante Manna, Victor H. Moll

The 2-adic valuation of the Stirling numbres is examined. We conjecture pattrens about the distributions of these valuations in residue classes modulo powers of 2.

math.NT2007★ 2 cited

The 2-adic valuation of a sequence arising from a rational integral

Tewodros Amdeberhan, Dante Manna, Victor H. Moll

We analyze properties of the 2-adic valuations of an integer sequence that originates from an explicit evaluation of a quartic integral. We also give a combinatorial interpretation…