# Table Of Integrals Series And Products

```@inproceedings{Vogler2016TableOI,
title={Table Of Integrals Series And Products},
author={Kerstin Vogler},
year={2016}
}```
6,412 Citations
• Mathematics
• 2020
Calculus students are taught that an indefinite integral is defined only up to an additive constant, and as a consequence generations of students have assiduously added “ +C ” to their calculus
ABSTRACT A method is given for deriving indefinite integrals involving squares and other products of functions which are solutions of second-order linear differential equations. Several variations of
• Mathematics
Proceedings of the Royal Society A
• 2021
A useful identity relating the infinite sum of two Bessel functions to their infinite integral was discovered in Dominici et al. (Dominici et al. 2012 Proc. R. Soc. A 468, 2667–2681). Here, we extend
Two variants of the OGF-to-EGF transformation integrals from the Hankel loop contour for the reciprocal gamma function and from Fourier series expansions of integral representations for the Hadamard product of two generating functions, respectively are proved.
• Mathematics
• 2017
Highly oscillatory integrals, such as those involving Bessel functions, are best evaluated analytically as much as possible, as numerical errors can be difficult to control. We investigate indefinite
• T. Fukushima
• Mathematics
2015 IEEE 22nd Symposium on Computer Arithmetic
• 2015
Summarized is the recent progress of the new methods to compute Legendre's complete and incomplete elliptic integrals of all three kinds and Jacobian elliptic functions. Also reviewed are the
Summarized is the recent progress of the new methods to compute Legendre’s complete and incomplete elliptic integrals of all three kinds and Jacobian elliptic functions. Also reviewed are the
• Mathematics
Mathematics
• 2019
In this paper, we present some Euler-like sums involving partial sums of the harmonic and odd harmonic series. First, we give a brief historical account of Euler’s work on the subject followed by
The title of the dissertation gives an indication of the material involved with the connecting thread throughout being the classical Bernstein inequality (and its variants), which provides an
• Martin Stoller
• Mathematics
Transactions of the American Mathematical Society
• 2020
In every dimension \$d \geq 5\$ we give an explicit formula that expresses the values of any Schwartz function on \$\mathbb{R}^d\$ only in terms of its restrictions, and the restrictions of its Fourier