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pro vyhledávání: '"Lewis E. Ward"'
Autor:
Lewis E. Ward
Publikováno v:
Transactions of the American Mathematical Society. 29:716-745
We treat here the problem of expanding functions in infinite series whose terms are solutions of the differential equation d3u/dx3 +p3u = 0 and various types of boundary conditions. Birkhofft has treated a general problem of this nature for the case
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::111ea77ca00d4ee778205e85e476c14f
https://doi.org/10.1090/s0002-9947-1927-1501411-3
https://doi.org/10.1090/s0002-9947-1927-1501411-3
Autor:
Lewis E. Ward
Publikováno v:
Transactions of the American Mathematical Society. 32:544-557
where W2 = eri/3 and W3 = e-'ri/3 and showed that these characteristic functions fall naturally into three classes, denoted by Ulk(X), U2k(X), and U3k(X). It was proved that if f(x) is a function which can be written in the form 01(X3) +x42(x3) +X203
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5af21f91415bcb50024e6dfd0710ad57
https://doi.org/10.1090/s0002-9947-1930-1501552-0
https://doi.org/10.1090/s0002-9947-1930-1501552-0
Autor:
Ann K. Stehney, Lewis E. Ward
Publikováno v:
The American Mathematical Monthly. 80:823
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c45a8b8ff77bd628620bdfd1a1dfd2c
https://doi.org/10.2307/2318189
https://doi.org/10.2307/2318189
Autor:
Lewis E. Ward
Publikováno v:
American Journal of Mathematics. 57:345
Published accounts of properties of characteristic functions of third-order, irregular boundary value problems and of expansions in infinite series of such functions have been given by D. Jackson and Hopkinst and by the author.T In these papers were
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d17ee18bf4974287d73caac7ff5b011
https://doi.org/10.2307/2371212
https://doi.org/10.2307/2371212