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HP HP-11C - Page 46

HP HP-11C
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44
Section
3:
Numeric
Functions
2.
Gamma
Function.
The
key
can
also
be
used
to
calculate
the
Gamma
function,
denoted
by
I'(x),
which
occurs
in
certain
problems
in
advanced
mathematics
and
statistics.*
Pressing
[x!]gives
you
I'(x
+
1).
To
calculate
the
Gamma
function
of
a
number,
subtract
1
from
the
number.
Then,
with
the
result
in
the
displayed
X-register,
press
[f][x!].
Square
Root.
Pressing
calculates
the
square
root
of
the
number
in
the
displayed
X-register.
Squaring.
Pressing
[g][(?]
calculates
the
square
of
the
number
in
the
displayed
X-register.
Keystroke
.
To
Calculate
Example
Display
Reciprocal
25
25
0.0400
Factorial
8
8
40,320.0000
Gamma
2.7
2.7
(ENTER]1
[-]
1.7000
1.5447
Square
Root
3.9
3.9
1.9748
Square
12.3
12.3
(91
151.2900
*
can
be
used
for
both
the
Factorial
and
Gamma
functions
because
when
x
is
a
nonnegative
integer
n,
I'(x
+1)
=
I'(n
+1)
=n!.
The
Gamma
function
can
be
regarded
as
a
generalization
of
the
factorial
function,
since
the
number
in
the
X-register
is
not
limited
to
nonnegative
integers.
Conversely,
the
factorial
function
can
be
regarded
as
a
special
case
of
the
Gamma
function.

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