Abels Equation And the Cauchy Integral Equation of the Second Kind
Abels Equation And the Cauchy Integral Equation of the Second Kind
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In our eReader you can find the full English version of the book. Read Abels Equation And the Cauchy Integral Equation of the Second Kind 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 Abels Equation And the Cauchy Integral Equation of the Second Kind
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, / 4^^ ^, ^ / i-il^^l^ (1-^) 1 {i-?)^|^:MiM -X '^f (x) TT cot 77r + r; / g 7- Therefore by using this transformation, which we will denote by T, equation (2. L6) can be expressed as (2. 17) ], \.^]> [5]) the solution of (3-1) can be reduced to the solution of a Hilbert-Riemann boundary value problem. The reduction, as well as the solution of the subsidiary problem, is based on the use of an ingenious idea due to Carleman [6], namely the intro- duction of the function F(w) = f ii^i^ L 13 where ...w is unrestricted; and the use of the Plemelj formulas. This method for finding the solution of (3-1) is very elegantly effective and it Is perhaps Indispensable for finding the Integral representation for the solution of a Cauchy Integral equation of the third kind. For these reasons and others, the method Is likely to remain In Its position of preeminence. However, apart from an analysis of the properties of ^{z) which will Insure the existence of the Cauchy principal value for all or almost all values of C, it could be claimed that the Ideas mentioned above require the development of a function theoretic apparatus which is unnecessarily advanced and powerful for the solution of the real equation (2.
What to read after Abels Equation And the Cauchy Integral Equation of the Second Kind?
You can find similar books in the "Read Also" column, or choose other free books by Arthur S Peters to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
, / 4^^ ^, ^ / i-il^^l^ (1-^) 1 {i-?)^|^:MiM -X '^f (x) TT cot 77r + r; / g 7- Therefore by using this transformation, which we will denote by T, equation (2. L6) can be expressed as (2. 17) ], \.^]> [5]) the solution of (3-1) can be reduced to the solution of a Hilbert-Riemann boundary value problem. The reduction, as well as the solution of the subsidiary problem, is based on the use of an ingenious idea due to Carleman [6], namely the intro- duction of the function F(w) = f ii^i^ L 13 where ...w is unrestricted; and the use of the Plemelj formulas. This method for finding the solution of (3-1) is very elegantly effective and it Is perhaps Indispensable for finding the Integral representation for the solution of a Cauchy Integral equation of the third kind. For these reasons and others, the method Is likely to remain In Its position of preeminence. However, apart from an analysis of the properties of ^{z) which will Insure the existence of the Cauchy principal value for all or almost all values of C, it could be claimed that the Ideas mentioned above require the development of a function theoretic apparatus which is unnecessarily advanced and powerful for the solution of the real equation (2.
What to read after Abels Equation And the Cauchy Integral Equation of the Second Kind?
You can find similar books in the "Read Also" column, or choose other free books by Arthur S Peters to read onlineMoreLess
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