Yet Another Table of Integrals
arXiv:1207.5845
Abstract
This collection of sums and integrals has been harvested from the mathematical and physical literature in unstructured ways. Its main use is backtracking the original sources whenever an integral of the reader's application resembles one of the items in the collection.
Version 7: Extended to 273 pages with 402 references. More sums and series of Harmonic Numbers
References in corpus (19)
- Elliptic integral evaluations of Bessel moments
- Analytical results for a Bessel function times Legendre polynomials class integrals
- Parametric Euler Sum Identities
- A class of series acceleration formulae for Catalan's constant
- Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers. Volume I
- On a three-dimensional symmetric Ising tetrahedron, and contributions to the theory of the dilogarithm and Clausen functions
- History of the formulas and algorithms for pi
- Orthogonal Linear Combinations of Gaussian Type Orbitals
- On Hypergeometric 3F2(1)
- The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals
- On computing some special values of hypergeometric functions
- New method for evaluating integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example
- On Bernoulli Numbers and Its Properties
- Some integral identities involving products of general solutions of Bessel's equation of integral order
- Elementary evaluations of some Euler sums
- Generalization of the Glasser - Manna - Oloa integral and some new integrals of similar type
- A formula for a quartic integral: a survey of old proofs and some new ones
- Lehmer's Interesting Series
- Identities of nonterminating series by Zeilberger's algorithm