Boole%20summation%20formula
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1: 24.17 Mathematical Applications
2: 20 Theta Functions
Chapter 20 Theta Functions
…3: Gergő Nemes
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►As of September 20, 2021, Nemes performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 25 Zeta and Related Functions.
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4: Wolter Groenevelt
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►As of September 20, 2022, Groenevelt performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 18 Orthogonal Polynomials.
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5: 8 Incomplete Gamma and Related
Functions
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6: 28 Mathieu Functions and Hill’s Equation
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7: Bibliography H
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Formulae for growth factors in expanding universes containing matter and a cosmological constant.
Monthly Notices Roy. Astronom. Soc. 322 (2), pp. 419–425.
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Asymptotic formulae in combinatory analysis.
Proc. London Math. Soc. (2) 17, pp. 75–115.
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A Boole-type Formula involving Conjugate Euler Polynomials.
In Charlemagne and his Heritage. 1200 Years of Civilization and
Science in Europe, Vol. 2 (Aachen, 1995), P.L. Butzer, H. Th. Jongen, and W. Oberschelp (Eds.),
pp. 361–375.
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An explicit formula for Bernoulli numbers.
Rep. Fac. Sci. Technol. Meijo Univ. 29, pp. 1–6.
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Explicit formulas for degenerate Bernoulli numbers.
Discrete Math. 162 (1-3), pp. 175–185.
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8: 8.26 Tables
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Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
9: 23 Weierstrass Elliptic and Modular
Functions
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10: 36 Integrals with Coalescing Saddles
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