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Digital Library of Mathematical Functions ID
4.6.E7
(
1
+
z
)
a
=
1
+
a
1
!
z
+
a
(
a
-
1
)
2
!
z
2
+
a
(
a
-
1
)
(
a
-
2
)
3
!
z
3
+
⋯
,
superscript
1
𝑧
𝑎
1
𝑎
1
𝑧
𝑎
𝑎
1
2
superscript
𝑧
2
𝑎
𝑎
1
𝑎
2
3
superscript
𝑧
3
⋯
{\displaystyle{\displaystyle(1+z)^{a}=1+\frac{a}{1!}z+\frac{a(a-1)}{2!}z^{2}+% \frac{a(a-1)(a-2)}{3!}z^{3}+\cdots,}}
Constraint(s)
Symbols List
!
{\displaystyle{\displaystyle!}}
:
a
𝑎
{\displaystyle{\displaystyle a}}
: real or complex constant
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
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