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21—30 of 365 matching pages
21: 8 Incomplete Gamma and Related
Functions
22: 17.6 Function
First -Chu–Vandermonde Sum
… βΊSecond -Chu–Vandermonde Sum
… βΊHeine’s First Transformation
… βΊFine’s First Transformation
… βΊ23: 3.4 Differentiation
24: Bibliography G
25: 8.26 Tables
Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
26: 23 Weierstrass Elliptic and Modular
Functions
27: 36.5 Stokes Sets
28: Bibliography W
29: 32.8 Rational Solutions
30: 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.
Blanch and Clemm (1965) includes the first and second zeros of , for , and , for , with ; 7D.