10 citations · 28 across the 10 of their papers we have counts for
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The Evaluation of a Quartic Integral via Schwinger, Schur and Bessel
Tewodros Amdeberhan, Victor H. Moll, And Christophe Vignat
We provide additional methods for the evaluation of the integral \begin{eqnarray} N_{0,4}(a;m) & := & \int_{0}^{\infty} \frac{dx} {\left( x^{4} + 2ax^{2} + 1 \right)^{m+1}} \end{eq…
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 15: Frullani integrals
Matthew Albano, Tewodros Amdeberhan, Erin Beyerstedt +1
The table of Gradshteyn and Ryzhik contains some integrals that can be reduced to the Frullani type. We present a selection of them.
The integrals in Gradshteyn and Ryzhik. Part 14: An elementary evaluation of entry 3.411.5
Tewodros Amdeberhan, Victor H. Moll
An elementary proof of an entry in the table of integrals by Gradshteyn and Rhyzik is presented.
The integrals in Gradshteyn and Ryzhik. Part 13: Trigonometric forms of the beta function
Victor H. Moll
The table of Gradshteyn and Rhyzik contains some trigonometric integrals that can be expressed in terms of the beta function. We describe the evaluation 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…