Algorithm 934: Fortran 90 Subroutines to Compute Mathieu Functions for Complex Values of the Parameter

Erricolo, Danilo; Carluccio, Giuseppe

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Algorithm 934: Fortran 90 Subroutines to Compute Mathieu Functions for Complex Values of the Parameter

journal contribution

posted on 05.02.2014, 00:00 by Danilo Erricolo, Giuseppe Carluccio

Software to compute angular and radial Mathieu functions is provided in the case that the parameter q is a complex variable and the independent variable x is real. After an introduction on the notation and the definitions of Mathieu functions and their related properties, Fortran 90 subroutines to compute them are described and validated with some comparisons. A sample application is also provided.

Funding

This work was partially supported by the AFOSR under MURI grant FA9550-05-1-0443 and by the AFOSR grant FA9550-12-1-0174.

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Publisher Statement

© ACM, 2014. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in ACM Transactions on Mathematical Software, {Vol 40, Issue 1, (Sept. 2013)} http://doi.acm.org/10.1145/2513109.2513117

Publisher

Association for Computing Machinery (ACM)

Language

en_US

issn

0098-3500

Issue date

01/09/2013

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Keywords

Mathieu function special function computation validation

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Algorithm 934: Fortran 90 Subroutines to Compute Mathieu Functions for Complex Values of the Parameter

Funding

This work was partially supported by the AFOSR under MURI grant FA9550-05-1-0443 and by the AFOSR grant FA9550-12-1-0174.

History

Publisher Statement

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Issue date

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