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ERRATA
A.Lenda,WybraneRozdziałyMatematycznychMetodFizyki
Wyd.AGH,Kraków1994,ISSN0239–6114
str. wiersz jest powinnoby¢
(wzór)
1–27 5. # Wzory(62,63)... Wzory(62,65)...
1–29 (76) y 00 + A 1 /xy 0 + B 1 /x 2 =0 . y 00 + A 1 /xy 0 + B 1 /x 2 y =0 .
1–31 11. " 2 (1 1 2 1 2 )+( 1 · 2 + 1 · 2 + C 2 )=0 . 2 (1 1 2 1 2 )+( 1 · 2 + 1 · 2 + C 2 )=0 .
1–34 (92),(93)
0 0 1
1 =0 1 =0 1 =
2 =1 2 = 2 =
(92)
0 1 1
1 =0 1 =0 1 =
2 =1 2 = 2 =
(92)
0 0 1
0 1 = 1 0 1 =0 0 1 = ...
0 2 =0 0 2 = 0 2 = ...
(93)
0 1 1
0 1 = 1 0 1 =0 0 1 = ...
0 2 =0 0 2 = 0 2 = ...
(93)
1–45 tabela b k (1)= ( 1) k a 0
( k 1)1!
b k (1)= ( 1) k a 0
( k 1)!
1–51 (150) L n ( x ) def = F ( n, 1 , ; x ) L n ( x ) def = F ( n, 1; x )
1–74 (250)
¯ h 2
2 m
dx 2 + 1
2 ! 2 x 2 = E ¯ h 2
dx 2 + 1
2 m! 2 x 2 = E
2 m
2–5 10 . # stałych C 0 1 n i C 0 2 n ,wktórych„tkwi¡”tak»estałe C 1 n ... stałych C 0 1 n i C 0 2 n ,wktórych„tkwi¡”tak»estałe C 2 n ...
2-33 6 . #
p n = ( 1) n
2 n n ! i h n =( 1) n
p n = ( 1) n
2 n n ! , l n =1 , i h n =( 1) n
d 2
d 2
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str. wiersz jest powinnoby¢
(wzór)
2–35 (105),(106)
Laguerre: g L ( x,t )=
1 X
L s n ( x ) t n = ... (105)
Laguerre: g L ( x,t )=
1 X
L s n ( x ) t n = ... (105)
k =0
n =0
Hermite: g H ( x,t )=
1 X
H n ( x )
n ! t n = ... (106)
Hermite: g H ( x,t )=
1 X
H n ( x )
n ! t n = ... (106)
k =0
n =0
3–32,34 (122,6,7) !... =1 /c...
!... = c...
3–45 (163)
Y 0 ( x ) x ! 0 2
ln z... (163) Y 0 ( x ) x ! 0 2
ln x... (163)
4–18 5. # K 2 ( x,t )= R 1 0 xsstdt = xt 3 K 2 ( x,t )= R 1 0 xsstds = xt 3
4–20 11. # ...równania(70)przez N m ( t )icałkuj¡cwzgl¦dem x ...) ...równania(70)przez N m ( x )icałkuj¡cwzgl¦dem x ...
4-28 (108)
( x )= f ( x )+
1 X
0 R b
a f ( t ) i ( t ) dt
i
i ( x )+ a k k ( x ) .
( x )= f ( x )+
1 X
0 R b
a f ( t ) i ( t ) dt
i
i ( x )+ a k k ( x ) .
n 6 = k
i 6 = k
4–29 (110)
Z 1
0 cos3 x
(
)
Z
0 cos3 x
(
)
sin x
cos x
sin x
cos x
dx =0 .
dx =0 .
4–36 5. # ...[por.wzórLeibnitza(1–142)].... ...[por.wzórLeibniza(1–143)]....
4–48 (186)
r 1 G ( r 1 , r 2 ) r 12 << 1 = @G ( r 1 , r 2 )
@r 12
r 12 << 1 = 1
4 r 2 12 , r 1 G ( r 1 , r 2 ) r 12 << 1 = @G ( r 1 , r 2 )
@r 12
r 12 << 1 = 1
4 r 2 12 ,
4–50 1. # ... H = ... ... H =...
5–9 10. # Tutajzauwa»my,»eelementyoperatora A Tutajzauwa»my,»eelementyoperatora A
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