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11: 13.12 Products
For integral representations, integrals, and series containing products of M ( a , b , z ) and U ( a , b , z ) see Erdélyi et al. (1953a, §6.15.3).
12: 16.25 Methods of Computation
Methods for computing the functions of the present chapter include power series, asymptotic expansions, integral representations, differential equations, and recurrence relations. …
13: 13.25 Products
For integral representations, integrals, and series containing products of M κ , μ ( z ) and W κ , μ ( z ) see Erdélyi et al. (1953a, §6.15.3).
14: Bibliography W
  • E. J. Weniger (2007) Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions. In Algorithms for Approximation, A. Iske and J. Levesley (Eds.), pp. 331–348.
  • 15: Bibliography C
  • C. Chiccoli, S. Lorenzutta, and G. Maino (1990b) On a Tricomi series representation for the generalized exponential integral. Internat. J. Comput. Math. 31, pp. 257–262.
  • M. W. Coffey (2008) On some series representations of the Hurwitz zeta function. J. Comput. Appl. Math. 216 (1), pp. 297–305.
  • 16: 14.18 Sums
    For a series representation of the Dirac delta in terms of products of Legendre polynomials see (1.17.22). …
    17: Bibliography L
  • Y. T. Li and R. Wong (2008) Integral and series representations of the Dirac delta function. Commun. Pure Appl. Anal. 7 (2), pp. 229–247.
  • 18: 27.4 Euler Products and Dirichlet Series
    §27.4 Euler Products and Dirichlet Series
    if the series on the left is absolutely convergent. … Euler products are used to find series that generate many functions of multiplicative number theory. The completely multiplicative function f ( n ) = n s gives the Euler product representation of the Riemann zeta function ζ ( s ) 25.2(i)): … called Dirichlet series with coefficients f ( n ) . …
    19: 14.30 Spherical and Spheroidal Harmonics
    For a series representation of the product of two Dirac deltas in terms of products of spherical harmonics see §1.17(iii). …
    20: 1.15 Summability Methods
    Here u ( x , y ) = A ( r , θ ) is the Abel (or Poisson) sum of f ( θ ) , and v ( x , y ) has the series representation