... 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 320by John William Strutt Baron Rayleigh - 1894 - 984 pagesFull view - About this book
| 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.... | |
| 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... | |
| 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... | |
| 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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