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Software to compute angular and radial Mathieu functions is provided in the case that the parameterqis a complex variable and the independent variablexis 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.
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Erricolo et al. (2013) studied this question.
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