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Statements
1
Γ
(
1
+
2
μ
)
M
κ
,
μ
(
z
)
=
2
2
μ
z
μ
+
1
2
∑
s
=
0
∞
p
s
(
μ
)
(
z
)
(
2
κ
z
)
-
2
μ
-
s
J
2
μ
+
s
(
2
κ
z
)
,
1
Euler-Gamma
1
2
𝜇
Whittaker-confluent-hypergeometric-M
𝜅
𝜇
𝑧
superscript
2
2
𝜇
superscript
𝑧
𝜇
1
2
superscript
subscript
𝑠
0
superscript
subscript
𝑝
𝑠
𝜇
𝑧
superscript
2
𝜅
𝑧
2
𝜇
𝑠
Bessel-J
2
𝜇
𝑠
2
𝜅
𝑧
{\displaystyle{\displaystyle\frac{1}{\Gamma\left(1+2\mu\right)}M_{\kappa,\mu}%
\left(z\right)=2^{2\mu}z^{\mu+\frac{1}{2}}\sum_{s=0}^{\infty}p_{s}^{(\mu)}(z)%
\left(2\sqrt{\kappa z}\right)^{-2\mu-s}J_{2\mu+s}\left(2\sqrt{\kappa z}\right)%
,}}
J
ν
(
z
)
Bessel-J
𝜈
𝑧
{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
M
κ
,
μ
(
z
)
Whittaker-confluent-hypergeometric-M
𝜅
𝜇
𝑧
{\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
s
𝑠
{\displaystyle{\displaystyle s}}
z
𝑧
{\displaystyle{\displaystyle z}}
p
s
subscript
𝑝
𝑠
{\displaystyle{\displaystyle p_{s}}}
Identifiers
