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21: 34.5 Basic Properties: 6 j Symbol
Equations (34.5.15) and (34.5.16) are the sum rules. They constitute addition theorems for the 6 j symbol. …
22: 1.5 Calculus of Two or More Variables
Chain Rule
23: 4.45 Methods of Computation
For x [ 1 / e , ) the principal branch Wp ( x ) can be computed by solving the defining equation W e W = x numerically, for example, by Newton’s rule3.8(ii)). …
24: 13.29 Methods of Computation
In Allasia and Besenghi (1991) and Allasia and Besenghi (1987a) the high accuracy of the trapezoidal rule for the computation of Kummer functions is described. …
25: 17.2 Calculus
Product Rule
Leibniz Rule
26: Bibliography T
  • N. M. Temme (1978) The numerical computation of special functions by use of quadrature rules for saddle point integrals. II. Gamma functions, modified Bessel functions and parabolic cylinder functions. Report TW 183/78 Mathematisch Centrum, Amsterdam, Afdeling Toegepaste Wiskunde.
  • 27: 3.11 Approximation Techniques
    The Padé approximants can be computed by Wynn’s cross rule. Any five approximants arranged in the Padé table as …
    28: 3.4 Differentiation
    The integral on the right-hand side can be approximated by the composite trapezoidal rule (3.5.2). … As explained in §§3.5(i) and 3.5(ix) the composite trapezoidal rule can be very efficient for computing integrals with analytic periodic integrands. …
    29: Bibliography W
  • J. Waldvogel (2006) Fast construction of the Fejér and Clenshaw-Curtis quadrature rules. BIT 46 (1), pp. 195–202.
  • 30: Software Index
    Please see our Software Indexing Policy for rules that govern the indexing of software in the DLMF. …