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Beta-function recurrence
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Mathematics
Area of mathematics
Analysis
Complex analysis
Gamma function
Beta function
2026-09-28
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The
Beta function
obeys
B
(
x
+
1
,
y
)
=
x
+
y
x
B
(
x
,
y
)
,
B
(
x
,
y
+
1
)
=
x
+
y
y
B
(
x
,
y
)
.
(1)
These identities follow immediately from the
beta--gamma identity
and the
Gamma function recurrence
.
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(7)
Beta function
Gamma function
Complex analysis
Analysis
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 349
/
3
/
Solution
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