Mathieu%20equation
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1: Bibliography V
2: 28 Mathieu Functions and Hill’s Equation
Chapter 28 Mathieu Functions and Hill’s Equation
…3: 28.16 Asymptotic Expansions for Large
4: Bibliography L
5: 28.8 Asymptotic Expansions for Large
6: 28.35 Tables
§28.35 Tables
… ►Ince (1932) includes eigenvalues , , and Fourier coefficients for or , ; 7D. Also , for , , corresponding to the eigenvalues in the tables; 5D. Notation: , .
Kirkpatrick (1960) contains tables of the modified functions , for , , ; 4D or 5D.
National Bureau of Standards (1967) includes the eigenvalues , for with , and with ; Fourier coefficients for and for , , respectively, and various values of in the interval ; joining factors , for with (but in a different notation). Also, eigenvalues for large values of . Precision is generally 8D.
Zhang and Jin (1996, pp. 521–532) includes the eigenvalues , for , ; (’s) or 19 (’s), . Fourier coefficients for , , . Mathieu functions , , and their first -derivatives for , . Modified Mathieu functions , , and their first -derivatives for , , . Precision is mostly 9S.
7: Bibliography K
8: Bibliography N
9: Software Index
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20 Theta Functions | |||||||||||||||||||||||||
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28 Mathieu Functions and Hill’s Equation | |||||||||||||||||||||||||
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28.36(iii) Mathieu Functions | ✓ | ✓ | ✓ | ✓ | ✓ | a | Van Buren | ||||||||||||||||||
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