Asymptotic Estimates for the Sturm Liouville Spectrum
Asymptotic Estimates for the Sturm Liouville Spectrum
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In our eReader you can find the full English version of the book. Read Asymptotic Estimates for the Sturm Liouville Spectrum 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 Asymptotic Estimates for the Sturm Liouville Spectrum
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able ^k+1 ' '^k " ° V^^l A result due to Erdfelyi .
Erdelyi derived ^ -^ some estimates for small (;(x) + ••• and for X. We use X = hk^ + en + ....
22 - Retaining only € terms we have immediately ^^ l6k Use of the boundary conditions i(0) = ^(f) = and the Fourier series 0(x) = >; n=l a cos 2mc n shows that M- = ^2k 2 so that . V2 '^2k X = ilk + — 7:— - Similarly for case 1. ) we find ) v2 '^2k X = 4k - — TT- so that 23 l\+l -^1 = l^^2kl It is evident from the previous development that Erde...lyi's result is not correct in general, hut Magnus has shown'- -' that in an average sense it is correct. If 7^
What to read after Asymptotic Estimates for the Sturm Liouville Spectrum?
You can find similar books in the "Read Also" column, or choose other free books by Harry Hochstadt to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
able ^k+1 ' '^k " ° V^^l A result due to Erdfelyi .
Erdelyi derived ^ -^ some estimates for small (;(x) + ••• and for X. We use X = hk^ + en + ....
22 - Retaining only € terms we have immediately ^^ l6k Use of the boundary conditions i(0) = ^(f) = and the Fourier series 0(x) = >; n=l a cos 2mc n shows that M- = ^2k 2 so that . V2 '^2k X = ilk + — 7:— - Similarly for case 1. ) we find ) v2 '^2k X = 4k - — TT- so that 23 l\+l -^1 = l^^2kl It is evident from the previous development that Erde...lyi's result is not correct in general, hut Magnus has shown'- -' that in an average sense it is correct. If 7^
What to read after Asymptotic Estimates for the Sturm Liouville Spectrum?
You can find similar books in the "Read Also" column, or choose other free books by Harry Hochstadt to read onlineMoreLess
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