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makegamma-pochhammer

pochhammer (x, 3);

pochhammer (x, -3);

makegamma (pochhamme...

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makegamma

? makegamma;

Calculate

makegamma-pochhammer

pochhammer (x, 4);

pochhammer (x, -3);

makegamma (pochhamme...

Calculate

makegamma-pochhammer

makegamma(pochhammer(...

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makegamma-pochhammer

pochhammer (x, 3);

pochhammer (x, -3);

makegamma (pochhamme...

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makegamma-pochhammer

pochhammer (3, 2);

pochhammer (x, -3);

makegamma (pochhamme...

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makegamma-pochhammer

pochhammer (x, 3);

pochhammer (x, -3);

makegamma (pochhamme...

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makegamma-pochhammer

pochhammer (3, 1);

pochhammer (x, -3);

makegamma (pochhamme...

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makegamma-pochhammer

pochhammer (x, 3);

pochhammer (x, -3);

makegamma (pochhamme...

Calculate

makegamma-pochhammer

pochhammer (2, 3);

pochhammer (x, -3);

makegamma (pochhamme...

Calculate

makegamma

Run Example
(%i1)makegamma(pochhammer(a+1,n)/pochhammer(a+2,n));
                         gamma(a + 2) gamma(n + a + 1)
(%o1)                    -----------------------------
                         gamma(a + 1) gamma(n + a + 2)
(%i2) 
Run Example
? makegamma;

 -- Function: makegamma (<expr>)
     Transforms instances of binomial, factorial, and beta functions in
     <expr> into gamma functions.

     See also `makefact'.


(%o1)                                true
(%i2) 
Run Example
pochhammer (x, 4);
(%o1)                      x (x + 1) (x + 2) (x + 3)
(%i2)  pochhammer (x, -3);
                                       1
(%o2)                       -----------------------
                            (x - 3) (x - 2) (x - 1)
(%i3)  makegamma (pochhammer (x, n));
                                 gamma(x + n)
(%o3)                            ------------
                                   gamma(x)
(%i4)  pochhammer (x, n);
(%o4)                                (x)
                                        n
(%i5) 

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