Some recurrence relations and their parallel evaluation using nested recurrent product form algorithm

Date

1989-12

Author

Kiper, Ayşe

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Recurrence relations for the Fourier expansion of the Jacobian elliptic functions snm(u, k), cnm(u, k), dnm(u, k) with m⩾1 and those for the expansion of sinm(πx), cosm(πx) in powers of the Jacobian elliptic functions with m⩾1 are studied and their parallel evaluation is formulated using nested recurrent product form algorithm.

Subject Keywords

Jacobian elliptic functions, Ellipsoidal wave equation, Lamé equation, Unit time step, Recursive doubling, Jacobian elliptic functions, Ellipsoidal wave equation, Lamé equation, Unit time step, Recursive doubling

URI

https://hdl.handle.net/11511/51731

Journal

Journal of Computational and Applied Mathematics

DOI

https://doi.org/10.1016/0377-0427(89)90335-x

Collections

Department of Computer Engineering, Article

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Citation Formats

A. Kiper, “Some recurrence relations and their parallel evaluation using nested recurrent product form algorithm,” Journal of Computational and Applied Mathematics, pp. 231–235, 1989, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51731.