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Bessel Functions and Kepler's Equation

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Publication:3994037
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DOI10.2307/2324547zbMath0767.33003OpenAlexW2046761157MaRDI QIDQ3994037

Peter Colwell

Publication date: 13 August 1992

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2324547


zbMATH Keywords

Bessel functionscelestial mechanicsLagrangeKapteyn series


Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Two-body problems (70F05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)


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A new identity involving positive roots of Bessel functions of the first kind ⋮ Maria Gaetana Agnesi Meets Johannes Kepler ⋮ On Taylor series and Kapteyn series of the first and second type ⋮ Generalisations of the LaplaceRungeLenz Vector ⋮ A Sequence of Polynomials Generated by a Kapteyn Series of the Second Kind ⋮ Integral representation of first kind Kapteyn series



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