### Related

##### hypergeometric-makegamma-pochhammer-taylor

taylor(hypergeometric...

makegamma(pochhammer(...

Calculate

##### hypergeometric-true

hypergeometric([],[],x);

hypergeometric([-3],...

hypergeometric([-3],...

Calculate

##### hypergeometric-true

hypergeometric([a,a],...

Calculate

##### hypergeometric

? cdf_hypergeometric;

Calculate

##### hypergeometric-true

hypergeometric([],[],...

Calculate

hypergeometric([3/2,3...

Calculate

##### hypergeometric-true

hypergeometric([],[],x);

hypergeometric([-3],...

hypergeometric([-3],...

Calculate

##### hypergeometric

hypergeometric([1,1.0...

Calculate

##### hypergeometric

hypergeometric([1,1.]...

Calculate

##### hypergeometric

hypergeometric([-0.5,...

Calculate

### hypergeometric

Run Example
```(%i1)bfloat(27*hypergeometric([1,1],[5/4],-1/80)-hypergeometric([1,1],[7/4],-1/80)+343/60*hypergeometric([1,1],[5/4],-1/2400)-7/180*hypergeometric([1,1],[7/4],-1/2400));
(%o1)                         3.141592653589793b1
(%i2) bfloat((7/4-1)*(1+1/80)*hypergeometric([1,1],[3/4],-1/80));
(%o2)                        7.468971205145837b-1
(%i3) bfloat(-(2-7/4)*(-1/80)*hypergeometric([1,1],[7/4],-1/80)+(7/4-1)*1);
(%o3)                        7.531028794854163b-1
(%i4) ```
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) hypergeometric([1,1],[1],z);
1
(%o5)                                -----
1 - z
(%i6) hypergeometric([1,1],[1],-z);
1
(%o6)                                -----
z + 1
(%i7) hypergeometric([a,b],[c],z);
(%o7)                   hypergeometric([a, b], [c], z)
(%i8) expand_hypergeometric:true;
(%o8)                                true
(%i9) hypergeometric([a,b],[c],-z);
(%o9)                  hypergeometric([a, b], [c], - z)
(%i10) expand_hypergeometric:true;
(%o10)                               true
(%i11) ```
Run Example
```bfloat(10/3*hypergeometric([1/2,1/4,3/4,(-61+sqrt(41))/40,(-61-sqrt(41))/40,1],[3/2,5/4,7/4,(-21+sqrt(41))/40,(-21-sqrt(41))/40],1/4)-2);
(%o1)                         1.567029062821875b0
(%i2) bfloat(pi/2);
(%o2)                              5.0b-1 pi
(%i3) ```

### Related Help

Help for Hypergeometric