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Pfaff transformation
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Mathematics
Area of mathematics
Analysis
Complex analysis
Fuchsian differential equation
Gauss hypergeometric equation
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With compatible branches and initially near
z
=
0
,
F
(
a
,
c
−
b
;
c
;
z
−
1
z
)
=
(
1
−
z
)
a
F
(
a
,
b
;
c
;
z
)
.
(122)
It follows by applying a Möbius transformation and a dependent-variable rescaling to the same
Papperitz symbol
, then matching the normalized analytic solution at zero.
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(7)
Gauss hypergeometric equation
Fuchsian differential equation
Complex analysis
Analysis
Area of mathematics
Mathematics
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