classification%20of%20singularities
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11: 2.7 Differential Equations
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►All solutions are analytic at an ordinary point, and their Taylor-series expansions are found by equating coefficients.
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►All other singularities are classified as irregular.
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►To include the point at infinity in the foregoing classification scheme, we transform it into the origin by replacing in (2.7.1) with ; see Olver (1997b, pp. 153–154).
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§2.7(ii) Irregular Singularities of Rank 1
… ►This phenomenon is an example of resurgence, a classification due to Écalle (1981a, b). …12: Software Index
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20 Theta Functions | |||||||||||||||||||||||||
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A Classification of Software
…13: 36 Integrals with Coalescing Saddles
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14: 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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15: 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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16: 33.24 Tables
17: 27.15 Chinese Remainder Theorem
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►Their product has 20 digits, twice the number of digits in the data.
…These numbers, in turn, are combined by the Chinese remainder theorem to obtain the final result , which is correct to 20 digits.
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18: William P. Reinhardt
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►In November 2015, Reinhardt was named Senior Associate Editor of the DLMF and Associate Editor for Chapters 20, 22, and 23.
19: 6.19 Tables
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Zhang and Jin (1996, pp. 652, 689) includes , , , 8D; , , , 8S.
Abramowitz and Stegun (1964, Chapter 5) includes the real and imaginary parts of , , , 6D; , , , 6D; , , , 6D.
Zhang and Jin (1996, pp. 690–692) includes the real and imaginary parts of , , , 8S.
20: Peter L. Walker
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