Andrews%E2%80%93Askey%20sum
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11—20 of 473 matching pages
11: Staff
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George E. Andrews, Pennsylvania State University, Chap. 17
Richard A. Askey, University of Wisconsin, Chaps. 1, 5, 16
William P. Reinhardt, University of Washington, Chaps. 20, 22, 23
George E. Andrews, Pennsylvania State University
George E. Andrews, Pennsylvania State University, for Chap. 17
12: 17.12 Bailey Pairs
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17.12.1
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17.12.4
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►See Andrews (2000, 2001), Andrews and Berkovich (1998), Andrews et al. (1999), Milne and Lilly (1992), Spiridonov (2002), and Warnaar (1998).
13: 6 Exponential, Logarithmic, Sine, and
Cosine Integrals
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14: 17.16 Mathematical Applications
15: 17.18 Methods of Computation
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►Method (2) is very powerful when applicable (Andrews (1976, Chapter 5)); however, it is applicable only rarely.
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►Shanks (1955) applies such methods in several -series problems; see Andrews et al. (1986).
16: Bibliography D
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Computing : The Meissel, Lehmer, Lagarias, Miller, Odlyzko method.
Math. Comp. 65 (213), pp. 235–245.
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Irreducibility of certain generalized Bernoulli polynomials belonging to quadratic residue class characters.
J. Number Theory 25 (1), pp. 72–80.
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Theta functions and non-linear equations.
Uspekhi Mat. Nauk 36 (2(218)), pp. 11–80 (Russian).
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Error analysis in a uniform asymptotic expansion for the generalised exponential integral.
J. Comput. Appl. Math. 80 (1), pp. 127–161.
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Uniform asymptotic expansions for Charlier polynomials.
J. Approx. Theory 112 (1), pp. 93–133.
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17: 17.14 Constant Term Identities
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Zeilberger–Bressoud Theorem (Andrews’ -Dyson Conjecture)
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17.14.2
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17.14.3
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17.14.4
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►For additional results of the type (17.14.2)–(17.14.5) see Andrews (1986, Chapter 4).
18: 26.9 Integer Partitions: Restricted Number and Part Size
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►See Andrews (1976, p. 81).
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26.9.5
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26.9.7
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26.9.9
►where the inner sum is taken over all positive divisors of that are less than or equal to .
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19: 15.17 Mathematical Applications
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►In combinatorics, hypergeometric identities classify single sums of products of binomial coefficients.
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►See Andrews et al. (1999, §3.2).
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20: 13 Confluent Hypergeometric Functions
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