19 citations · 115 across the 26 of their papers we have counts for
17 papers · 1 filter
An elementary trigonometric equation
Victor H. Moll
A systematic study of the trigonometric equation A tan a + B sin b = C, where A, B and C^2 are rational numbers. The special case tan Pi/11 + 4 sin 3 Pi/11 = sqrt[11] appears in th…
The integrals in Gradshteyn and Ryzhik. Part 10: the digamma function
Luis A. Medina, Victor H. Moll
Many integrals in the classical table by Gradshteyn and Ryzhik can be evaluated in terms of the digamma function (= the logarithmic derivative of the gamma function). Some of them…
Asymptotic valuations of sequences satisfying first order recurrences
T. Amdeberhan, L. Medina, Victor H. Moll
Let t[n] be a sequence that satisfies a first order homogeneous recurrence t[n] = Q[n]*t[n-1], where Q is a polynomial with integer coefficients. The asymptotic behavior of the p-a…
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…
Landen transformations and the integration of rational functions
George Boros, Victor H. Moll
We present a rational version of the classical Landen transformation for elliptic integrals. This is employed to obtain explicit closed-form expressions for a large class of integr…
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…