CHAPTER 11. SERIES
11.12 Binomial Series
=
tÜçäÉ=åìãÄÉêëW=åI=ã=
oÉ~ä=åìãÄÉêW=ñ=
`çãÄáå~íáçåëW=å`=ã
=
=
- ()N+ñå=N+å
Nñ+åOñO+K+ã`åñã+K+ñå=
=
()[ ( )]
ã>
åå N å ã N
å`ã
− − −
=
K
I=ñ<NK=
=
- = − + − +K
+
N ñ ñO ñP
N ñ
N
I=ñ<NK=
=
- = + + + +K
−
N ñ ñO ñP
N ñ
N
I=ñ<NK=
=
- +K
⋅ ⋅ ⋅
⋅ ⋅
−
⋅ ⋅
⋅
+
⋅
+ = + −
OQ SU
NPRñ
OQ S
NPñ
OQ
ñ
O
ñ
N ñ N
O P Q
I=ñ≤NK=
=
- +K
⋅ ⋅ ⋅
⋅ ⋅ ⋅
−
⋅ ⋅
⋅ ⋅
+
⋅
⋅
+ = + −
PS VNO
NORUñ
P SV
NORñ
PS
NOñ
P
ñ
N ñ N
O P Q
P I=ñ≤NK=
=
=
=
11.13 Fourier Series
=
fåíÉÖê~ÄäÉ=ÑìåÅíáçåW=Ñ(ñ)=
cçìêáÉê=ÅçÉÑÑáÅáÉåíëW=~MI=~åI=Äå=
tÜçäÉ=åìãÄÉêW=å==
