Gamma function for complex numbers
Description
The program presented here calculates the Gamma function for any complex argument, with the exception of negative integers for which the function has no value.
For instance, to calculate the Gamma function for i, key in the following: 1 I f A. After a few seconds, the calculator displays the real part of the result -0.154949828
; to view the imaginary part -0.498015669
, press Re↔Im. If you wish to clear complex mode after using the program, press CF 8.
Program Resources
Labels
Storage Registers
Program
Line |
Display |
Key Sequence |
|
Line |
Display |
Key Sequence |
|
Line |
Display |
Key Sequence |
|
000 |
|
|
|
064 |
0 |
0 |
|
128 |
9 |
9 |
|
001 |
42,21,11 |
f LBL A |
|
065 |
1 |
1 |
|
129 |
3 |
3 |
|
002 |
1 |
1 |
|
066 |
4 |
4 |
|
130 |
8 |
8 |
|
003 |
34 |
x↔y |
|
067 |
0 |
0 |
|
131 |
5 |
5 |
|
004 |
42,21, 2 |
f LBL 2 |
|
068 |
9 |
9 |
|
132 |
26 |
EEX |
|
005 |
43,30, 1 |
g TEST x>0 |
|
069 |
8 |
8 |
|
133 |
6 |
6 |
|
006 |
22 1 |
GTO 1 |
|
070 |
2 |
2 |
|
134 |
16 |
CHS |
|
007 |
36 |
ENTER |
|
071 |
4 |
4 |
|
135 |
45 3 |
RCL 3 |
|
008 |
33 |
R⬇ |
|
072 |
45 3 |
RCL 3 |
|
136 |
42 30 |
f Re↔Im |
|
009 |
20 |
× |
|
073 |
42 30 |
f Re↔Im |
|
137 |
43 35 |
g CLx |
|
010 |
43 33 |
g R⬆ |
|
074 |
43 35 |
g CLx |
|
138 |
45 1 |
RCL 1 |
|
011 |
1 |
1 |
|
075 |
45 1 |
RCL 1 |
|
139 |
6 |
6 |
|
012 |
40 |
+ |
|
076 |
3 |
3 |
|
140 |
40 |
+ |
|
013 |
22 2 |
GTO 2 |
|
077 |
40 |
+ |
|
141 |
10 |
÷ |
|
014 |
42,21, 1 |
f LBL 1 |
|
078 |
10 |
÷ |
|
142 |
30 |
− |
|
015 |
44 1 |
STO 1 |
|
079 |
40 |
+ |
|
143 |
1 |
1 |
|
016 |
42 30 |
f Re↔Im |
|
080 |
1 |
1 |
|
144 |
40 |
+ |
|
017 |
44 3 |
STO 3 |
|
081 |
48 |
. |
|
145 |
43 26 |
g π |
|
018 |
42 30 |
f Re↔Im |
|
082 |
2 |
2 |
|
146 |
2 |
2 |
|
019 |
34 |
x↔y |
|
083 |
3 |
3 |
|
147 |
20 |
× |
|
020 |
44 0 |
STO 0 |
|
084 |
1 |
1 |
|
148 |
11 |
√x̅ |
|
021 |
42 30 |
f Re↔Im |
|
085 |
7 |
7 |
|
149 |
20 |
× |
|
022 |
44 2 |
STO 2 |
|
086 |
3 |
3 |
|
150 |
45 3 |
RCL 3 |
|
023 |
42 30 |
f Re↔Im |
|
087 |
9 |
9 |
|
151 |
42 30 |
f Re↔Im |
|
024 |
7 |
7 |
|
088 |
5 |
5 |
|
152 |
43 35 |
g CLx |
|
025 |
6 |
6 |
|
089 |
7 |
7 |
|
153 |
45 1 |
RCL 1 |
|
026 |
48 |
. |
|
090 |
2 |
2 |
|
154 |
10 |
÷ |
|
027 |
1 |
1 |
|
091 |
45 3 |
RCL 3 |
|
155 |
43 12 |
g LN |
|
028 |
8 |
8 |
|
092 |
42 30 |
f Re↔Im |
|
156 |
45 3 |
RCL 3 |
|
029 |
0 |
0 |
|
093 |
43 35 |
g CLx |
|
157 |
42 30 |
f Re↔Im |
|
030 |
0 |
0 |
|
094 |
45 1 |
RCL 1 |
|
158 |
43 35 |
g CLx |
|
031 |
9 |
9 |
|
095 |
4 |
4 |
|
159 |
45 1 |
RCL 1 |
|
032 |
1 |
1 |
|
096 |
40 |
+ |
|
160 |
5 |
5 |
|
033 |
7 |
7 |
|
097 |
10 |
÷ |
|
161 |
48 |
. |
|
034 |
3 |
3 |
|
098 |
30 |
− |
|
162 |
5 |
5 |
|
035 |
45 3 |
RCL 3 |
|
099 |
1 |
1 |
|
163 |
40 |
+ |
|
036 |
42 30 |
f Re↔Im |
|
100 |
48 |
. |
|
164 |
43 12 |
g LN |
|
037 |
43 35 |
g CLx |
|
101 |
2 |
2 |
|
165 |
45 3 |
RCL 3 |
|
038 |
45 1 |
RCL 1 |
|
102 |
0 |
0 |
|
166 |
42 30 |
f Re↔Im |
|
039 |
1 |
1 |
|
103 |
8 |
8 |
|
167 |
43 35 |
g CLx |
|
040 |
40 |
+ |
|
104 |
6 |
6 |
|
168 |
45 1 |
RCL 1 |
|
041 |
10 |
÷ |
|
105 |
5 |
5 |
|
169 |
48 |
. |
|
042 |
8 |
8 |
|
106 |
0 |
0 |
|
170 |
5 |
5 |
|
043 |
6 |
6 |
|
107 |
9 |
9 |
|
171 |
40 |
+ |
|
044 |
48 |
. |
|
108 |
7 |
7 |
|
172 |
20 |
× |
|
045 |
5 |
5 |
|
109 |
4 |
4 |
|
173 |
40 |
+ |
|
046 |
0 |
0 |
|
110 |
26 |
EEX |
|
174 |
45 3 |
RCL 3 |
|
047 |
5 |
5 |
|
111 |
3 |
3 |
|
175 |
42 30 |
f Re↔Im |
|
048 |
3 |
3 |
|
112 |
16 |
CHS |
|
176 |
43 35 |
g CLx |
|
049 |
2 |
2 |
|
113 |
45 3 |
RCL 3 |
|
177 |
45 1 |
RCL 1 |
|
050 |
0 |
0 |
|
114 |
42 30 |
f Re↔Im |
|
178 |
30 |
− |
|
051 |
3 |
3 |
|
115 |
43 35 |
g CLx |
|
179 |
5 |
5 |
|
052 |
3 |
3 |
|
116 |
45 1 |
RCL 1 |
|
180 |
48 |
. |
|
053 |
45 3 |
RCL 3 |
|
117 |
5 |
5 |
|
181 |
5 |
5 |
|
054 |
42 30 |
f Re↔Im |
|
118 |
40 |
+ |
|
182 |
30 |
− |
|
055 |
43 35 |
g CLx |
|
119 |
10 |
÷ |
|
183 |
12 |
eˣ |
|
056 |
45 1 |
RCL 1 |
|
120 |
40 |
+ |
|
184 |
45 2 |
RCL 2 |
|
057 |
2 |
2 |
|
121 |
5 |
5 |
|
185 |
42 30 |
f Re↔Im |
|
058 |
40 |
+ |
|
122 |
48 |
. |
|
186 |
43 35 |
g CLx |
|
059 |
10 |
÷ |
|
123 |
3 |
3 |
|
187 |
45 0 |
RCL 0 |
|
060 |
30 |
− |
|
124 |
9 |
9 |
|
188 |
10 |
÷ |
|
061 |
2 |
2 |
|
125 |
5 |
5 |
|
189 |
43 32 |
g RTN |
|
062 |
4 |
4 |
|
126 |
2 |
2 |
|
|
|
|
|
063 |
48 |
. |
|
127 |
3 |
3 |
|
|
|
|
|