Transcendental Equations in Electromagnetic Theory
Transcendental Equations in Electromagnetic Theory
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In our eReader you can find the full English version of the book. Read Transcendental Equations in Electromagnetic Theory 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 Transcendental Equations in Electromagnetic Theory
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Then lim l(|)"V(v)| =lime-^l°Sx/2jp(^)| ^ ^ ITCvJI X -^ 0+ ' I ^ where Also c > 1 and V = i^ = 11m v. — o o lim |(|)V(-)e-^^| = lim e- 1°S ^/2 . P« \r{-. )\ = ^ e^^'' iPC-v^)!
Since v =16, If^Cv )| = IF^C-v )l: and since Er(x) = in the limit also, o o I ' ^ o I I ' o I ' V 6 rt/2 _^ ^^ ^^/^ the tn/o limits above miost be equal, whence c = e = lim e ^ ' .
6. The derivative of v We can obtain some interesting results not only for small x, as in the dv last section, but for any x by examining -t— .... However, it is not much more difficult to consider complex values of the argument. W. E shall derive a formula which was first obtained by Watson (see [5], p- ^08), ^ = 2c I K (2c sinh t) e'^^^ dt, dv jo o^ . ' where v is real and c is a positive zero (in z) of the cylindrical function J (z) cos s + Y (z) sin s for constant s. This form immediately excludes H .
V/e shell generalize it to apply to complex values of z and v, as well as to any function of the form C (z) = c, J (z) + c_Y (z), where c, and c^ are independent V 1 v^ 2 V 1 2 ^ of both z and v.
What to read after Transcendental Equations in Electromagnetic Theory?
You can find similar books in the "Read Also" column, or choose other free books by Leon Kotin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Then lim l(|)"V(v)| =lime-^l°Sx/2jp(^)| ^ ^ ITCvJI X -^ 0+ ' I ^ where Also c > 1 and V = i^ = 11m v. — o o lim |(|)V(-)e-^^| = lim e- 1°S ^/2 . P« \r{-. )\ = ^ e^^'' iPC-v^)!
Since v =16, If^Cv )| = IF^C-v )l: and since Er(x) = in the limit also, o o I ' ^ o I I ' o I ' V 6 rt/2 _^ ^^ ^^/^ the tn/o limits above miost be equal, whence c = e = lim e ^ ' .
6. The derivative of v We can obtain some interesting results not only for small x, as in the dv last section, but for any x by examining -t— .... However, it is not much more difficult to consider complex values of the argument. W. E shall derive a formula which was first obtained by Watson (see [5], p- ^08), ^ = 2c I K (2c sinh t) e'^^^ dt, dv jo o^ . ' where v is real and c is a positive zero (in z) of the cylindrical function J (z) cos s + Y (z) sin s for constant s. This form immediately excludes H .
V/e shell generalize it to apply to complex values of z and v, as well as to any function of the form C (z) = c, J (z) + c_Y (z), where c, and c^ are independent V 1 v^ 2 V 1 2 ^ of both z and v.
What to read after Transcendental Equations in Electromagnetic Theory?
You can find similar books in the "Read Also" column, or choose other free books by Leon Kotin to read onlineMoreLess
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