### Related

##### makelist

a : [1,-1,0];

b : [-2,1,1];

vec : [a, -a, b, -b, ...

Calculate

t1: a2;

t2: a0;

t3: not a1;

Calculate

##### sum

Aufgabe1:"Die Summe d...

a1:'sum(i,i,1,100)=su...

Aufgabe2:"Die Summe d...

Calculate

##### makelist-map-rhs-solve-sum

f(x):=sum(k^3,k,1,x);

X:makelist(k,k,1,5);

Y:map(f,X);

Calculate

##### makelist

n:4;

makelist(1,i,1,n);

Calculate

##### makelist

makelist(1/6*n*(n + 1...

Calculate

##### sum

sum (k^2, k, 1, n);

Calculate

##### makelist-permut

permut(makelist(a[ii]...

Calculate

##### makelist-map-modulus-solve

/* Число букв в алфав...

/* шифрованные символ...

y2: 1;

Calculate

##### makelist

n:3;

makelist((n+kk)/(n-kk...

Calculate

### [hypergeometric,makelist,sum,true]

Run Example
```(%i1)hypergeometric([],[], z);
z
(%o1)                                 %e
(%i2) hypergeometric([1],[1],z);
z
(%o2)                                 %e
(%i3) hypergeometric([-1],[1],z);
(%o3)                    hypergeometric([- 1], [1], z)
(%i4) hypergeometric([1,1],[1],z);
1
(%o4)                                -----
1 - z
(%i5) sum(hypergeometric([1,1],[1],-z), z, 0, 10);
83711
(%o5)                                -----
27720
(%i6) makelist(hypergeometric([1,1],[1],-z), z, 0, 10);
1  1  1  1  1  1  1  1  1   1
(%o6)                 [1, -, -, -, -, -, -, -, -, --, --]
2  3  4  5  6  7  8  9  10  11
(%i7) hypergeometric([1,1],[1],z);
1
(%o7)                                -----
1 - z
(%i8) hypergeometric([1,1],[1],-z);
1
(%o8)                                -----
z + 1
(%i9) hypergeometric([a,b],[a],z),expand_hypergeometric:true;
1
(%o9)                              --------
b
(1 - z)
(%i10) hypergeometric([a,b],[b],z),expand_hypergeometric:true;
1
(%o10)                             --------
a
(1 - z)
(%i11) hypergeometric([a,b],[b],-z),expand_hypergeometric:true;
1
(%o11)                             --------
a
(z + 1)
(%i12) ```
Run Example
```hypergeometric([],[], z);
z
(%o1)                                 %e
(%i2) hypergeometric([1],[1],z);
z
(%o2)                                 %e
(%i3) hypergeometric([-1],[1],z);
(%o3)                    hypergeometric([- 1], [1], z)
(%i4) hypergeometric([1,1],[1],z);
1
(%o4)                                -----
1 - z
(%i5) sum(hypergeometric([1,1],[1],z), z, 0, 10);
4609
(%o5)                  hypergeometric([1], [], 1) - ----
2520
(%i6) makelist(hypergeometric([1,1],[1],z), z, 0, 10);
1    1    1    1    1    1    1
(%o6) [1, hypergeometric([1], [], 1), - 1, - -, - -, - -, - -, - -, - -, - -,
2    3    4    5    6    7    8
1
- -]
9
(%i7) hypergeometric([1,1],[1],z);
1
(%o7)                                -----
1 - z
(%i8) hypergeometric([1,1],[1],-z);
1
(%o8)                                -----
z + 1
(%i9) hypergeometric([a,b],[a],z),expand_hypergeometric:true;
1
(%o9)                              --------
b
(1 - z)
(%i10) hypergeometric([a,b],[b],z),expand_hypergeometric:true;
1
(%o10)                             --------
a
(1 - z)
(%i11) hypergeometric([a,b],[b],-z),expand_hypergeometric:true;
1
(%o11)                             --------
a
(z + 1)
(%i12) ```
Run Example
```hypergeometric([],[], z);
z
(%o1)                                 %e
(%i2) hypergeometric([1],[1],z);
z
(%o2)                                 %e
(%i3) hypergeometric([-1],[1],z);
(%o3)                    hypergeometric([- 1], [1], z)
(%i4) hypergeometric([1,1],[1],z);
1
(%o4)                                -----
1 - z
(%i5) sum(hypergeometric([1,1],[1],-z), z, 0, 10);
83711
(%o5)                                -----
27720
(%i6) sum(1/(1+n), n, 0, 10);
83711
(%o6)                                -----
27720
(%i7)  makelist(hypergeometric([1,1],[1],-z), z, 0, 10);
1  1  1  1  1  1  1  1  1   1
(%o7)                 [1, -, -, -, -, -, -, -, -, --, --]
2  3  4  5  6  7  8  9  10  11
(%i8) hypergeometric([1,1],[1],z);
1
(%o8)                                -----
1 - z
(%i9) hypergeometric([1,1],[1],-z);
1
(%o9)                                -----
z + 1
(%i10) hypergeometric([a,b],[a],z),expand_hypergeometric:true;
1
(%o10)                             --------
b
(1 - z)
(%i11) hypergeometric([a,b],[b],z),expand_hypergeometric:true;
1
(%o11)                             --------
a
(1 - z)
(%i12) hypergeometric([a,b],[b],-z),expand_hypergeometric:true;
1
(%o12)                             --------
a
(z + 1)
(%i13) ```

### Related Help

Help for Hypergeometric

Help for Makelist

Help for Sum

Help for True