central%20differences%20in%20imaginary%20direction
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21—30 of 953 matching pages
21: 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.
Zhang and Jin (1996, pp. 533–535) includes the zeros (in degrees) of , for , and the first 5 zeros of , for or , . Precision is mostly 9S.
22: William P. Reinhardt
23: Peter L. Walker
24: 27.15 Chinese Remainder Theorem
25: 36.5 Stokes Sets
26: 18.19 Hahn Class: Definitions
Hahn class (or linear lattice class). These are OP’s where the role of is played by or or (see §18.1(i) for the definition of these operators). The Hahn class consists of four discrete and two continuous families.
Wilson class (or quadratic lattice class). These are OP’s ( of degree in , quadratic in ) where the role of the differentiation operator is played by or or . The Wilson class consists of two discrete and two continuous families.
27: 3.8 Nonlinear Equations
28: 33.24 Tables
29: 10.75 Tables
Achenbach (1986) tabulates , , , , , 20D or 18–20S.
Bickley et al. (1952) tabulates or , or , , (.01 or .1) 10(.1) 20, 8S; , , , or , 10S.
Kerimov and Skorokhodov (1984b) tabulates all zeros of the principal values of and , for , 9S.
Kerimov and Skorokhodov (1984c) tabulates all zeros of and in the sector for , 9S.
Zhang and Jin (1996, p. 322) tabulates , , , , , , , , , 7S.