Algorithm 352: characteristic values and associated solutions of Mathieu's differential equation [S22]

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Algorithm 352: characteristic values and associated solutions of Mathieu's differential equation [S22]

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Communications of the ACM archive
Volume 12 , Issue 7 (July 1969) table of contents

Pages: 399 - 407

Year of Publication: 1969

ISSN:0001-0782

Author

Donald S. Clemm

Aerospace Research Labs., Wright-Patterson Air Force Base, OH

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 3, Downloads (12 Months): 29, Citation Count: 4

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	ABRAMOWITZ, M., AND STEGUN, I . A. (Eds.). Handbook of Mathematical Functions. NBS Appl. Math. Ser. 55, US Govt. Print. Off., Washington, D.C., 1964.
	2	BLANCH, C. Numerical evaluation of continued fractions. SIAM Rev. 6, 4 (1964), 383-421.
	3	BLANCH, G. Numerical aspects of Mathieu eigenvalues. Rend. Circ. Mat. Palermo (2) 15 (1966), 51-97.
	4	BLANCH, G., AND CLEMM, D .S . Tables Relating to the Radial Mathieu Functions, Vol. 1, Functions of the First Kind. US Govt. Print. Off., Washington, D.C., 1962.
	5	BLANCH, G., AND CLEMM, D. S. Tables Relating to the Radial Mathieu Functions, Vol. 2, Functions of the Second Kind. US Govt. Print. Off., Washington, D.C., 1965.
	6	INCE, E. L. Tables of the elliptic cylinder functions. Proc. Roy. Soc. Edinburgh 52 (1932), 355-423; also Zeros and turning points. Proc. Roy. Soc. Edinburgh 52 (1932), 424-433.
	7	National Bureau of Standards. Tables Relating to Mathieu Functions. Appl. Math. Ser. 59, US Govt. Print. Off., Washington, D.C., 1967. (second ed.)
	8	STRATTON, J. A., MORSE, P. M., CHU, L. J., AND HUTNER, R. A. Elliptic Cylinder and Spheroidal Wave Functions. Wiley, New York, 1941.

CITED BY 4

	Randall B. Shirts, The computation of eigenvalues and solutions of Mathieu's differential equation for noninteger order, ACM Transactions on Mathematical Software (TOMS), v.19 n.3, p.377-390, Sept. 1993
	Randall B. Shirts, Algorithm 721; MTIEU1 and MTIEU2: two subroutines to compute eigenvalues and solutions to Mathieu's differential equation for noninteger and integer order, ACM Transactions on Mathematical Software (TOMS), v.19 n.3, p.391-406, Sept. 1993
	Fayez A. Alhargan, Algorithm 855: Subroutines for the computation of Mathieu characteristic numbers and their general orders, ACM Transactions on Mathematical Software (TOMS), v.32 n.3, p.472-484, September 2006
	Danilo Erricolo, Algorithm 861: Fortran 90 subroutines for computing the expansion coefficients of Mathieu functions using Blanch's algorithm, ACM Transactions on Mathematical Software (TOMS), v.32 n.4, p.622-634, December 2006