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Statements
π
β‘
(
a
,
b
;
c
;
z
)
π
β‘
(
a
,
b
+
1
;
c
+
1
;
z
)
=
t
0
-
u
1
β’
z
t
1
-
u
2
β’
z
t
2
-
u
3
β’
z
t
3
-
β―
,
scaled-hypergeometric-bold-F
π
π
π
π§
scaled-hypergeometric-bold-F
π
π
1
π
1
π§
subscript
π‘
0
continued-fraction
subscript
π’
1
π§
subscript
π‘
1
continued-fraction
subscript
π’
2
π§
subscript
π‘
2
continued-fraction
subscript
π’
3
π§
subscript
π‘
3
β―
{\displaystyle{\displaystyle\frac{\mathbf{F}\left(a,b;c;z\right)}{\mathbf{F}%
\left(a,b+1;c+1;z\right)}=t_{0}-\cfrac{u_{1}z}{t_{1}-\cfrac{u_{2}z}{t_{2}-%
\cfrac{u_{3}z}{t_{3}-\cdots}}},}}
π
β‘
(
a
,
b
;
c
;
z
)
scaled-hypergeometric-bold-F
π
π
π
π§
{\displaystyle{\displaystyle\mathbf{F}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z%
}\right)}}
z
π§
{\displaystyle{\displaystyle z}}
a
π
{\displaystyle{\displaystyle a}}
b
π
{\displaystyle{\displaystyle b}}
c
π
{\displaystyle{\displaystyle c}}
t
n
subscript
π‘
π
{\displaystyle{\displaystyle t_{n}}}
u
n
subscript
π’
π
{\displaystyle{\displaystyle u_{n}}}
Identifiers
