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11—12 of 12 matching pages

11: Bibliography V
  • H. C. van de Hulst (1957) Light Scattering by Small Particles. John Wiley and Sons. Inc., New York.
  • P. Verbeeck (1970) Rational approximations for exponential integrals E n ( x ) . Acad. Roy. Belg. Bull. Cl. Sci. (5) 56, pp. 1064–1072.
  • H. Volkmer (2004a) Error estimates for Rayleigh-Ritz approximations of eigenvalues and eigenfunctions of the Mathieu and spheroidal wave equation. Constr. Approx. 20 (1), pp. 39–54.
  • 12: Errata
  • Equations (18.2.5), (18.2.6)
    18.2.5
    h n = a b ( p n ( x ) ) 2 w ( x ) d x
     or  h n = x X ( p n ( x ) ) 2 w x
     or  h n = a b ( p n ( x ) ) 2 d μ ( x )
    18.2.6
    h ~ n = a b x ( p n ( x ) ) 2 w ( x ) d x
     or  h ~ n = x X x ( p n ( x ) ) 2 w x
     or  h ~ n = a b x ( p n ( x ) ) 2 d μ ( x )

    The third alternatives, involving d μ ( x ) , were included.

  • Equation (8.11.19)
    8.11.19
    d 0 ( x ) = x / ( 1 x ) ,
    d k ( x ) = ( 1 ) k b k ( x ) ( 1 x ) 2 k + 1 , k = 1 , 2 , 3 ,

    The coefficient d 0 ( x ) = x / ( 1 x ) was given explicitly.

    Reported by Gergő Nemes on 2022-06-22

  • Other

    Several small revisions have been made. For details see §§5.11(ii), 10.12, 10.19(ii), 18.9(i), 18.16(iv), 19.7(ii), 22.2, 32.11(v), 32.13(ii).

  • Chapters 8, 20, 36

    Several new equations have been added. See (8.17.24), (20.7.34), §20.11(v), (26.12.27), (36.2.28), and (36.2.29).

  • References

    Bibliographic citations were added in §§1.13(v), 10.14, 10.21(ii), 18.15(v), 18.32, 30.16(iii), 32.13(ii), and as general references in Chapters 19, 20, 22, and 23.