Proceedings of the London Mathematical Society
Proceedings of the London Mathematical Society
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In our eReader you can find the full English version of the book. Read Proceedings of the London Mathematical Society Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Proceedings of the London Mathematical Society
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The two examples just given will serve to show that the theory of automorphic functions of the first class may serve to elucidate con- siderably many two-dimensional physical problems. With resp'^ Digitized by Google 88 Mr. M. J. M. Hill on the Motion of a [June 11, the general problem dealt with in the previously quoted paper, viz., the formation of a function w with given infinities, such that the imaginary part of we*^^ is constant at the circumference of the circle Or (r = 1, 2, ... n+1), i...t will be found that, even when the differences df—d, are commensurable with tt, the terms in the infinite series for ta which contain the same exponential do not arise from one of them by the operations of any sub-group of the original group ; and therefore, that w cannot be represented as the sum of a finite number of i/r-f unctions formed from the substitutions of sub-groups in a manner analogous to that proved to be possible when the group arose from a single funda- mental substitution.
Note on the Motion of a Fluid Ellipsoid wider its own Attraction.
What to read after Proceedings of the London Mathematical Society?
You can find similar books in the "Read Also" column, or choose other free books by London Mathematical Society to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The two examples just given will serve to show that the theory of automorphic functions of the first class may serve to elucidate con- siderably many two-dimensional physical problems. With resp'^ Digitized by Google 88 Mr. M. J. M. Hill on the Motion of a [June 11, the general problem dealt with in the previously quoted paper, viz., the formation of a function w with given infinities, such that the imaginary part of we*^^ is constant at the circumference of the circle Or (r = 1, 2, ... n+1), i...t will be found that, even when the differences df—d, are commensurable with tt, the terms in the infinite series for ta which contain the same exponential do not arise from one of them by the operations of any sub-group of the original group ; and therefore, that w cannot be represented as the sum of a finite number of i/r-f unctions formed from the substitutions of sub-groups in a manner analogous to that proved to be possible when the group arose from a single funda- mental substitution.
Note on the Motion of a Fluid Ellipsoid wider its own Attraction.
What to read after Proceedings of the London Mathematical Society?
You can find similar books in the "Read Also" column, or choose other free books by London Mathematical Society to read onlineMoreLess
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