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

作者：Erricolo Danilo^*; Carluccio Giuseppe

来源：ACM Transactions on Mathematical Software, 2013, 40(1): 8.

DOI：10.1145/2513109.2513117

• Mathieu function
• special function
• computation
• validation

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.

• 出版日期2013-9