Waves in the Presence of An Inclined Barrier
Waves in the Presence of An Inclined Barrier
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17) Cj^ = d) e "^ P(T[)dY|^ =0 for k = l, . , n-l where the integrals are extended over a path with |y|| > a .
-53- Condltions (5. 17) are already sufficient in order that X (2) ^s the required behavior at inl'inlty and along the real axis. We have Indeed from (5, 12), (5, 16), (4, 8) for large |z| with R(z) (5. 19) X(z) = (oC+-oo It follows from (4. 6), (5. 17) that for real z ;^ hJTzT = Hj^. K(z) i'oi' k = l, ... , n-l, Besides J1t, (z) Is real, as the coefficients oc, in (5, 16) are r ...eal. Then (5, 7), (5, 8), (5, 9) show that all terras in the representation (5, 15) of f are either real or conjugate imaginary. Consequently f = (D+i) X Is real for all positive and negative real z f^ 0» It remains to derive the restrictions on P introduced by the barrier condition (1. 11). For this piirpose we introduce the abbreviation (5.
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To quickly assess the difficulty of the text, read a short excerpt:
17) Cj^ = d) e "^ P(T[)dY|^ =0 for k = l, . , n-l where the integrals are extended over a path with |y|| > a .
-53- Condltions (5. 17) are already sufficient in order that X (2) ^s the required behavior at inl'inlty and along the real axis. We have Indeed from (5, 12), (5, 16), (4, 8) for large |z| with R(z) (5. 19) X(z) = (oC+
What to read after Waves in the Presence of An Inclined Barrier?
You can find similar books in the "Read Also" column, or choose other free books by F John to read onlineMoreLess
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