14 citations · 38 across the 6 of their papers we have counts for
6 papers
Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik
Tewodros Amdeberhan, Victor Moll, John Lopez Santander +2
The long-time behavior of solutions to the initial value problem for the Korteweg-de Vries equation on the whole line, with general initial conditions has been described uniformly…
The integrals in Gradshteyn and Ryzhik. Part 16: Complete elliptic integrals
Stefan Boettner, Victor H. Moll
The table of Gradshteyn and Ryzhik contains many entries that are related to elliptic integrals. We present a systematic derivation of some of them.
The integrals in Gradshteyn and Ryzhik. Part 12: Some logarithmic integrals
Victor H. Moll, Ronald A. Posey
We present the evaluation of some logarithmic integrals. The integrand contains a rational function with complex poles. The methods are illustrated with examples found in the class…
The integrals in Gradshteyn and Ryzhik. Part 11: The incomplete beta function
Khristo Boyadzhiev, Luis Medina, Victor Moll
The table of Gradshteyn and Ryzhik contains some integrals that can be expressed in terms of the incomplete beta function. We describe some elementary properties of this function a…
The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals
Tewodros Amdeberhan, Luis Medina, Victor H. Moll
We present evalauations and provide proofs of definite integrals involving the function x^p cos^n x. These formulae are generalizations of 3.761.11 and 3.822.1, among others, in th…
The integrals in Gradshteyn and Rhyzik. Part 1: A family of logarithmic integrals
Victor H. Moll
We present the evaluation of a family of logarithmic integrals. This provides a unified proof of several formulas in the classical table of integrals by I. S. Gradshteyn and I. M.…