infinite product
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11: 27.4 Euler Products and Dirichlet Series
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►In this case the infinite product on the right (extended over all primes ) is also absolutely convergent and is called the Euler product of the series.
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12: 27.14 Unrestricted Partitions
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►Euler introduced the reciprocal of the infinite product
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►The 24th power of in (27.14.12) with is an infinite product that generates a power series in with integer coefficients called Ramanujan’s tau function
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13: 19.5 Maclaurin and Related Expansions
14: 10.21 Zeros
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§10.21(iii) Infinite Products
…15: 17.2 Calculus
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►When in (17.2.35), and when in (17.2.38), the results become convergent infinite series and infinite products (see (17.5.1) and (17.5.4)).
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16: 10.74 Methods of Computation
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►For infinite integrals involving products of Bessel functions of the first kind, see Linz and Kropp (1973), Gabutti (1980), Ikonomou et al. (1995), Lucas (1995), and Van Deun and Cools (2008).
For infinite integrals involving products of Bessel functions of the first and second kinds, see Ratnanather et al. (2014).
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17: Bibliography R
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Algorithm 935: IIPBF, a MATLAB toolbox for infinite integral of products of two Bessel functions.
ACM Trans. Math. Softw. 40 (2), pp. 14:1–14:12.
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Sources in the development of mathematics.
Cambridge University Press, Cambridge.
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18: 18.1 Notation
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Infinite -Product
…19: Bibliography L
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Evaluating infinite integrals involving products of Bessel functions of arbitrary order.
J. Comput. Appl. Math. 64 (3), pp. 269–282.
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