Theory of the Algebraic Functions of a Complex Variable
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In our eReader you can find the full English version of the book. Read Theory of the Algebraic Functions of a Complex Variable 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 Theory of the Algebraic Functions of a Complex Variable
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85 (5) i/(z,v).ff(z,v).R{z,v), (8=1,. ..I) obtained on multiplying the expressions on the left of these identities by R(z, v), and the vanishing of the coefficients of (z — af~~ l v 2n ~ 2 in these I products will impose just the same conditions on the coefficients of ']> (z, v), as would the vanishing of the coefficients of (z — a) l ~~ 1 v n ~~ l in the I functions lf(z,v). In order that an integral rational function ty(z,v) should be com- plementary adjoint to the order * to the system of fu...nctions (z,v), whose orders of coincidence with the branches of the several cycles are not less than the adjoint numbers [x' l5 ... y.' r respectively, it is therefore necessary and sufficient that the coefficients of (z — a) i ~~ l v in ~ 2 in the I products (5) should all vanish.
We shall now write the I products f^(z,v). R(z,v) in the form (6) ? (z, v) is made up of all terms of the product on the left which are divisible by v n ~ l and which at the same time are not divisible by (z—af.
What to read after Theory of the Algebraic Functions of a Complex Variable?
You can find similar books in the "Read Also" column, or choose other free books by John Charles Fields to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
85 (5) i/(z,v).ff(z,v).R{z,v), (8=1,. ..I) obtained on multiplying the expressions on the left of these identities by R(z, v), and the vanishing of the coefficients of (z — af~~ l v 2n ~ 2 in these I products will impose just the same conditions on the coefficients of ']> (z, v), as would the vanishing of the coefficients of (z — a) l ~~ 1 v n ~~ l in the I functions lf(z,v). In order that an integral rational function ty(z,v) should be com- plementary adjoint to the order * to the system of fu...nctions (z,v), whose orders of coincidence with the branches of the several cycles are not less than the adjoint numbers [x' l5 ... y.' r respectively, it is therefore necessary and sufficient that the coefficients of (z — a) i ~~ l v in ~ 2 in the I products (5) should all vanish.
We shall now write the I products f^(z,v). R(z,v) in the form (6) ? (z, v) is made up of all terms of the product on the left which are divisible by v n ~ l and which at the same time are not divisible by (z—af.
What to read after Theory of the Algebraic Functions of a Complex Variable?
You can find similar books in the "Read Also" column, or choose other free books by John Charles Fields to read onlineMoreLess
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