Bestimmte Integrale by Wolfgang Gröbner, Nikolaus Hofreiter PDF

By Wolfgang Gröbner, Nikolaus Hofreiter

ISBN-10: 3662375575

ISBN-13: 9783662375570

ISBN-10: 3662383330

ISBN-13: 9783662383339

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Example text

L~,e#~ .. ) ••. -1- (-1)~. A 2 . }.. A = ±1, ± 2, ... , (1b). ' (1b). 10); 5c) (oa). 6a) (1a ,13. 10); (6b). 3). 311 1oa:-. xe-~x}Y' =zfJ -oo 00 ~Ob) \. x >. J J o = (n- 1)! An! z3n+'f n=1,2,... , (10). A-Y)Jr K+ ,A-2Y l 0 16c) (~6). t11. 8d); 1~b) (11a). 312 ru - ~ 312. x (Laplace-Transform ation). x:x:>. A)>O, Eulersches Integral 2. 1a). Ä) > -1, (1). 1 n =0,1,2,. . , s>O, (2); s>O, (2). i_~ , 0 2s s s>O, (2). 1.! C, 335, 336)531. Vgl. IJoetsch J Theorie und Anwendung der Laplace-Transforma tion, Berlin 1931.

1-i2 )~~~ +(1-li)~f +~E =0. X= 9a) iy ,9a). (I24t26e)_; 9b) 10a) 10b) 10c) 10d) (8). *>Kann durch Differentiation nach t und~ bestätigt werden; es gilt: olT ll [ ECi) J ol = i'"+~ -n(~,l) + 1-i-2 ) ;! ) K<*-)] . **) Durcn Entwicklung des Integranden nach Potenzen von 11. mt)~! _3~1T = o, (m) 2~(1+~)(1l+~) ~~ u~ +(8~ t31t'-t13~2+8~l2)~2'JI+4C1+4~+1li~1T +2TT =0. ) -q (1+~)(~2+~) (cp,TG J tu . V-Q ~ > --r <-7(. wn. ~ v-k~q 13a) 2, -1<-l1<0. 6attung. Gattung. 26f-h ). *\ li=Vi-l1 , O

R"2 +K+ 1 ~(_'(1 s-1 +~<+1 2 n \ I- n-1 )- n+21<. s' I 2 2 ' cx I 16a) 16b) 1t) (16).

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Bestimmte Integrale by Wolfgang Gröbner, Nikolaus Hofreiter

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