series representation
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11: 13.12 Products
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►For integral representations, integrals, and series containing products of and see Erdélyi et al. (1953a, §6.15.3).
12: 16.25 Methods of Computation
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►Methods for computing the functions of the present chapter include power series, asymptotic expansions, integral representations, differential equations, and recurrence relations.
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13: 13.25 Products
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►For integral representations, integrals, and series containing products of and see Erdélyi et al. (1953a, §6.15.3).
14: Bibliography W
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Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions.
In Algorithms for Approximation, A. Iske and J. Levesley (Eds.),
pp. 331–348.
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15: Bibliography C
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On a Tricomi series representation for the generalized exponential integral.
Internat. J. Comput. Math. 31, pp. 257–262.
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On some series representations of the Hurwitz zeta function.
J. Comput. Appl. Math. 216 (1), pp. 297–305.
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16: 14.18 Sums
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►For a series representation of the Dirac delta in terms of products of Legendre polynomials see (1.17.22).
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17: Bibliography L
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Integral and series representations of the Dirac delta function.
Commun. Pure Appl. Anal. 7 (2), pp. 229–247.
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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 gives the Euler product representation of the Riemann zeta function (§25.2(i)): … ►called Dirichlet series with coefficients . …19: 14.30 Spherical and Spheroidal Harmonics
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►For a series representation of the product of two Dirac deltas in terms of products of spherical harmonics see §1.17(iii).
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