Polyspheroidal periodic functions
β Scribed by N.F. Truskova
- Book ID
- 104263259
- Publisher
- Elsevier Science
- Year
- 1983
- Weight
- 678 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0041-5553
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β¦ Synopsis
An algorithm is given for the computer evaluation of polyspheroidal periodic functions and their eigenvalues for different values of the parameters v, II, g, n, z. The eigenvalues are found by minimization of n times folded continued fractions. The eigenfunctions are evaluated by summation of the appropriate series. The results of numerical computations are represented by graphs.
π SIMILAR VOLUMES
We consider a non-periodic function u with Legendre expansion Eke, 0 ~L k. The best approximation of u, in the L 2 sense, by N N-degree polynomials is the truncated series ~rNu = E~. 0 ~kLk. When the function u is discontinuous, the polynomial approximation rrNu is oscillatory. We present a filter t