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Books Books 1 - 4 of 4 on ... we are furnished with expressions for J»(z) in a finite form. For instance,....
" ... we are furnished with expressions for J»(z) in a finite form. For instance, if n = £, But if n be not of this form — for example, if n be integral, — the series run on to infinity, and become ultimately divergent, no matter how large z may be.... "
The Theory of Sound - Page 320
by John William Strutt Baron Rayleigh - 1894 - 984 pages
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The theory of sound, Volume 1

John William Strutt (3rd baron Rayleigh.) - 1877
...(10); it terminates, if 2n be equal to an odd integer, but otherwise, it runs on to infinity, aiid becomes ultimately divergent. Nevertheless when z...thought it advisable to give a table for the functions Jj, and Jt, extracted from Lommel's1 work, and due 1 Lommel, Studien iibcr die Bcssd'scten F&nctioncn....
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The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science

Science - 1872
...ultimately divergent, no matter how large z may be. Nevertheless the convergent part may be usefully employed in calculation ; for it can be proved that...the function by less than the last term included. The most satisfactory demonstration is that of Lipschitz (Crelle, vol. Ivi.), who determines the remainder...
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Philosophical Magazine

Physics - 1872
...ultimately divergent, no matter how large z may be. Nevertheless the convergent part may be usefully employed in calculation ; for it can be proved that...the function by less than the last term included. The most satisfactory demonstration is that of Lipschitz (Crelle, vol. Ivi.), who determines the remainder...
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Philosophical Magazine

Science - 1872
...ultimately divergent, no matter how large z may be. Nevertheless the convergent part may be usefully employed in calculation ; for it can be proved . that...number of terms differs from the true value of the functièn by less than the last term included. The most satisfactory demonstration is that of Lipschits...
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