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DLMF:31.10.E18 - MaRDI portal
Statements
∂
2
𝒦
∂
u
2
+
∂
2
𝒦
∂
v
2
+
∂
2
𝒦
∂
w
2
+
2
γ
-
1
u
∂
𝒦
∂
u
+
2
δ
-
1
v
∂
𝒦
∂
v
+
2
ϵ
-
1
w
∂
𝒦
∂
w
=
0
.
partial-derivative
𝒦
𝑢
2
partial-derivative
𝒦
𝑣
2
partial-derivative
𝒦
𝑤
2
2
𝛾
1
𝑢
partial-derivative
𝒦
𝑢
2
𝛿
1
𝑣
partial-derivative
𝒦
𝑣
2
italic-ϵ
1
𝑤
partial-derivative
𝒦
𝑤
0
{\displaystyle{\displaystyle\frac{{\partial}^{2}\mathcal{K}}{{\partial u}^{2}}%
+\frac{{\partial}^{2}\mathcal{K}}{{\partial v}^{2}}+\frac{{\partial}^{2}%
\mathcal{K}}{{\partial w}^{2}}+\frac{2\gamma-1}{u}\frac{\partial\mathcal{K}}{%
\partial u}+\frac{2\delta-1}{v}\frac{\partial\mathcal{K}}{\partial v}+\frac{2%
\epsilon-1}{w}\frac{\partial\mathcal{K}}{\partial w}=0.}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
γ
𝛾
{\displaystyle{\displaystyle\gamma}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
ϵ
italic-ϵ
{\displaystyle{\displaystyle\epsilon}}
𝒦
(
z
;
s
,
t
)
𝒦
𝑧
𝑠
𝑡
{\displaystyle{\displaystyle\mathcal{K}(z;s,t)}}
u
𝑢
{\displaystyle{\displaystyle u}}
v
𝑣
{\displaystyle{\displaystyle v}}
w
𝑤
{\displaystyle{\displaystyle w}}
Identifiers