quotient-difference scheme
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21—29 of 29 matching pages
21: Bibliography D
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Unification of one-dimensional Fokker-Planck equations beyond hypergeometrics: Factorizer solution method and eigenvalue schemes.
Phys. Rev. E (3) 57 (1), pp. 252–275.
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22: Bibliography L
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Orthogonal polynomials, duality and association schemes.
SIAM J. Math. Anal. 13 (4), pp. 656–663.
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23: 3.8 Nonlinear Equations
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►After a zero has been computed, the factor is factored out of as a by-product of Horner’s scheme (§1.11(i)) for the computation of .
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24: Bibliography C
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Work Group of Computational Mathematics, University of Kassel, Germany.
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A dispersion analysis for difference schemes: Tables of generalized Airy functions.
Math. Comp. 32 (144), pp. 1163–1170.
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25: 18.26 Wilson Class: Continued
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►Moreover, if one or more of the new parameters becomes zero, then the polynomial descends to a lower family in the Askey scheme.
26: Bibliography B
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Algebraic Combinatorics. I: Association Schemes.
The Benjamin/Cummings Publishing Co., Inc., Menlo Park, CA.
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27: 2.7 Differential Equations
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►To include the point at infinity in the foregoing classification scheme, we transform it into the origin by replacing in (2.7.1) with ; see Olver (1997b, pp. 153–154).
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28: 18.39 Applications in the Physical Sciences
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►Following the method of Schwartz (1961), Yamani and Reinhardt (1975), Bank and Ismail (1985), and Ismail (2009, §5.8) have shown this is equivalent to determination of such that in the recursion scheme
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29: Errata
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►These additions were facilitated by an extension of the scheme for reference numbers; with “_” introducing intermediate numbers.
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Subsection 15.2(ii)
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The unnumbered equation
was added in the second paragraph. An equation number will be assigned in an expanded numbering scheme that is under current development. Additionally, the discussion following (15.2.6) was expanded.