Ellipsoidal harmonic analysis | Zendy

George Howard Darwin | Zendy

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Ellipsoidal harmonic analysis

Author(s) -

George Howard Darwin

Publication year - 1901

Publication title -

proceedings of the royal society of london

Language(s) - English

Resource type - Journals

eISSN - 2053-9126

pISSN - 0370-1662

DOI - 10.1098/rspl.1901.0044

Subject(s) - ellipsoid , computer science , object (grammar) , harmonic , numerical analysis , work (physics) , calculus (dental) , mathematics , artificial intelligence , mathematical analysis , mechanical engineering , physics , engineering , medicine , acoustics , dentistry , astronomy

Lamé’s functions have been used in many investigations, but the form in which they have been presented has always been such as to render numerical calculation so difficult as to be practically impossible. The object of this paper is to remove the imperfection in question by giving to the functions such forms as shall render numerical results accessible. Throughout the work I have enjoyed the immense advantage of frequent discussions with Mr. E. W. Hobson, and I have to thank him not only for many valuable suggestions but also for assistance in obtaining various specific results.

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