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1: 20 Theta Functions
Chapter 20 Theta Functions
…2: Bibliography R
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On the definition and properties of generalized - symbols.
J. Math. Phys. 20 (12), pp. 2398–2415.
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Der Quotienten-Differenzen-Algorithmus.
Mitteilungen aus dem Institut für Angewandte Mathematik an der
Eidgenössischen Technischen Hochschule in Zürich, No. 7, Birkhäuser, Basel/Stuttgart (German).
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3: 8 Incomplete Gamma and Related
Functions
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4: 28 Mathieu Functions and Hill’s Equation
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5: 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.
6: 23 Weierstrass Elliptic and Modular
Functions
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7: 36 Integrals with Coalescing Saddles
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8: 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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9: 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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