Методические указания по темам: "Комплексный анализ", "Ряды Фурье", "Преобразование Лапласа". Мамонова Л.И - 30 стр.

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2
at
e
ap
1
3
t
2
1
p
4
wtsin
5
wtcos
6
wtsh
7
wtch
8
wte
at
sin
2
2
wap
w
9
wte
at
cos
2
2
wap
ap
10
wte
at
sh
2
2
wap
w
11
wte
at
ch
2
2
wap
ap
12
n
t
(n – целое)
1
!
n
p
n
13
nat
te
1
!
n
ap
n
14
wtt sin
2
22
2
wp
wp
15
wtt cos
2
22
22
wp
wp
16
wtt sh
2
22
2
wp
wp
17
wtt ch
2
22
22
wp
wp
18
wtte
at
sin
2
2
2
2
wap
apw
19
wtte
at
cos
2
2
2
2
2
wap
wap
20
wtwtwt
w
cossin
2
1
3
2
22
1
wp
21
wtwtwt
w
shch
2
1
3
2
22
1
wp
22
wtsin
22
sincos
wp
pw
23
wtcos
22
sincos
wp
wp
2
                                                 1
                 e at                          pa

3
                                                 1
                   t                             p2

4
                                                 w
               sin wt                        p 2  w2

5
                                                  p
               cos wt                        p 2  w2

6
                                                 w
               sh wt                         p 2  w2

7
                                                 p
               ch wt                         p 2  w2
                                                 w
8           e at  sin wt                p  a 2  w2
                                              pa
9           e at  cos wt                p  a 2  w2
                                                 w
10           e at  sh wt                p  a 2  w2
                                              pa
11          e at  ch wt                 p  a 2  w2
12        (n – целое)
                                                 n!
     tn                                         p n1
                                                 n!
13             e at  t n                   p  a n1
                                               2wp
14           t  sin wt                   p   2
                                                    w2      2


                                            p w
                                               2         2

15           t  cos wt                   p   2
                                                 w2         2


                                               2wp
16            t  sh wt                   p   2
                                                    w2      2


                                            p w
                                               2          2

17           t  ch wt                    p   w2
                                               2
                                                             2


                                           2w p  a 
18         e at  t  sin wt            p  a    2
                                                         w2      
                                                                  2



                                         p  a    2
                                                         w2
19        e at  t  cos wt
                                        p  a   2
                                                         w2      
                                                                  2


                                                   1
20        sin wt  wt cos wt 
       1
     2 w3                                 p   2
                                                    w2      2


                                                    1
21        wt ch wt  sh wt 
       1
     2 w3                                 p   w2
                                               2
                                                             2


                                       w cos   p sin 
22         sin wt                      p 2  w2
                                       p cos   w sin 
23         coswt                       p 2  w2




                                  30

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