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Statements
y
n
(
x
;
a
)
=
F
0
2
(
-
n
,
n
+
a
-
1
-
;
-
x
2
)
=
(
n
+
a
-
1
)
n
(
x
2
)
n
F
1
1
(
-
n
-
2
n
-
a
+
2
;
2
x
)
.
Bessel-polynomial-y
𝑛
𝑥
𝑎
Gauss-hypergeometric-pFq
2
0
𝑛
𝑛
𝑎
1
𝑥
2
Pochhammer
𝑛
𝑎
1
𝑛
superscript
𝑥
2
𝑛
Kummer-confluent-hypergeometric-M-as-1F1
𝑛
2
𝑛
𝑎
2
2
𝑥
{\displaystyle{\displaystyle y_{n}\left(x;a\right)={{}_{2}F_{0}}\left({-n,n+a-%
1\atop-};-\frac{x}{2}\right)={\left(n+a-1\right)_{n}}\left(\frac{x}{2}\right)^%
{n}{{}_{1}F_{1}}\left({-n\atop-2n-a+2};\frac{2}{x}\right).}}
F
q
p
(
a
1
,
…
,
a
p
;
b
1
,
…
,
b
q
;
z
)
Gauss-hypergeometric-pFq
𝑝
𝑞
subscript
𝑎
1
…
subscript
𝑎
𝑝
subscript
𝑏
1
…
subscript
𝑏
𝑞
𝑧
{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots%
,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}
F
1
1
(
a
;
b
;
z
)
Kummer-confluent-hypergeometric-M-as-1F1
𝑎
𝑏
𝑧
{\displaystyle{\displaystyle{{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}%
\right)}}
(
a
)
n
Pochhammer
𝑎
𝑛
{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
n
𝑛
{\displaystyle{\displaystyle n}}
x
𝑥
{\displaystyle{\displaystyle x}}
