Download Tabellen zur Fourier Transformation by Dr. Fritz Oberhettinger (auth.) PDF

By Dr. Fritz Oberhettinger (auth.)

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36. New York 1954. + (cosh x-a)l] - (cosh x-all -1b 42 1. _iy)(a) Y- HHiy )(a) (cosh x)-! -iy) (a)] ~ (na)! [Il(l-iy) (a) K HHiy )(a) (sinh x)-! (Hiy) (a) K Hi - iy)(a)] ~ (na)! (sinh x)-! (Hiy) (a)] (cos x)-! :n; O~ 2 (cos x)-! cosh (2a cos x) O

N'~ a-" e 4a Erf 2 -:2 1 ya- i ) 22 Ei (- a cosh x) 2 (1 + X~) a2 C -tr) y' 1 -- (' 1 -:2n2[csch(ny)]2[Iiy(a) +L;y(a)- Oherhettinger, Tabellen + + yarctan (a:b)} + y arctan eacoshx y2 ] e~:rcYJi y (ia) - e-tr:rcy J_ i y (ia)] 4 50 I. FOURIER-Kosin us-Transformationen § 12. -nb-1cosh(by) Ei(- ab) (X2 + b2)-1 Ci (a x) 2 :nb-1{e- bY [Ei(ab) - Ei(by)] O~y;:S;a + Ei(- ab)- + ebYEi(- by)} y~ a § 12. Integralsinus und Integralkosinus g(y) t(x) = 51 ft(x) cos(xy) dx o X{a log [(1 + a2~y2)2 + 4~:y21 + + 2 Yarc tan (_~ll _ y2 a2+b2y-)} sin (a x) Ci(ax) -- cos (a x) si (a x) + sin (a x) si(ax) cos (a x) Ci(ax) + X-I [Si (a x) cos (a x) - Ci(ax) sin(ax)J ~nlog I y-a y+a I 4 y <2a [Ci (a x) J2 1 _ny-l log (y2_ --a -2) y> 2a + :) y <2a a2 2 : n y -qog(1 [si(ax)J2 ~ny-qog(y+a) 2 y-a - ny-l Ci (a x 2) cos (a x 2) si (a x 2) - sin (a x 2) Ci (a x 2) + cos (a x 2) Ci (a x 2) sin (a X2) si (a x 2) + y> 2a [CU:) + s(::)] B _1{' 1] + n"{2a) ~ SIll (y2)[ -4a" S (y2) 4~- -2 + cos ( ;': ) [C (:: ) - :]} n~ (2 a) - ~ {cos ({:) [S ( :: ) - sin (-::)[C (::) - :]- {-J} 4* 52 1.

Y) d x I (x) 0 [cosh (ax) + cos b]-1 b a 1 - -

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