On certain definite integrals. No. 13 | Zendy

William Henry Leighton Russell | Zendy

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On certain definite integrals. No. 13

Author(s) -

William Henry Leighton Russell

Publication year - 1886

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.1885.0003

Subject(s) - constant (computer programming) , mathematics , positive definite matrix , series (stratigraphy) , calculus (dental) , pure mathematics , algebra over a field , mathematical analysis , computer science , medicine , physics , quantum mechanics , paleontology , eigenvalues and eigenvectors , dentistry , programming language , biology

In a paper which will he found in the “Proceedings of the Royal Society” for June, 1865, I gave methods for expressing the sum of certain series by definite integrals, or in other words, of expressing F(x ) by the form ∫PQx dθ . As shown in my last paper, this method is immediately connected with the solution of those partial differential equations which have constant coefficients by definite integrals, a circumstance which never crossed my mind till lately. In the present communication I hope to make further extensions in both these directions.

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