Integral representation for the sum of a power series and polynomial expansions
β Scribed by G. M. Gulyaev
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1990
- Tongue
- English
- Weight
- 529 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we describe a recursive procedure for the approximate evaluation of the coefficients of expansion of a function y(x) in a system of polynomials ~. ( ..~(x)1, kEN. Numerical examples and the computational procedure are also discussed.
We discuss the numerical computation of the cosine lemniscate function and its inverse, the lemniscate integral. These were previously studied by Bernoulli, Euler, Gauss, Abel, Jacobi and Ramanujan. We review general elliptic formulas for this special case and provide some novelties. We show that a
Derived herein is the integral representation solution of a Rayleigh-damped Bernoulli-Euler beam subjected to multi-support motion, which is free from calculation of a quasi-static solution, and in which the modal participation factor for support motion is formulated as a boundary modal reaction, th