Mathieu functions of integral order and their tabulation

Authors:
W. G. Bickley and N. W. McLachlan

Journal:
Math. Comp. **2** (1946), 1-11

MSC:
Primary 33.0X

DOI:
https://doi.org/10.1090/S0025-5718-1946-0014519-4

Corrigendum:
Math. Comp. **2** (1946), 95-96.

MathSciNet review:
0014519

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References | Similar Articles | Additional Information

**[1]**W. G. Bickley,*The tabulation of Mathieu functions*, Mathematical Tables and other Aids to Computation**1**(1945), 409–419. MR**0012907**, https://doi.org/10.1090/S0025-5718-1945-0012907-2**[2]**We do, however, replace Ince's by (compare*MTAC*, v. 1, p. 418), thereby avoiding a mixture of English and Greek symbols in the differential equation.**[3]**E. L. Ince, ``Tables of the elliptic-cylinder functions,'' R. So. Edinburgh,*Proc*, v. 52, 1932, p. 355-423.**[5]**H. E. Heine,*Handbuch der Kugelfunktionen*, second ed., Berlin, 2 v., 1878-1881.**[8]**S. Goldstein, ``Mathieu functions,'' Cambridge Phil. So.,*Trans.*, v. 23, 1927, p. 303-336.**[11]**S. Goldstein, ``The second solution of Mathieu's differential equation,'' Cambridge Phil. So.,*Trans.*, v. 24, 1928, p. 223-230.**[12]**K. Hidaka, ``Tables for computing the Mathieu functions of odd order . . . ,'' Imp. Marine Observatory, Kobe, Japan,*Memoirs*, v. 6, 1936, p. 137-157.

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DOI:
https://doi.org/10.1090/S0025-5718-1946-0014519-4

Article copyright:
© Copyright 1946
American Mathematical Society