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taylor

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assume-solve-subst

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assume-changevar-cos-integrate-nouns-sin

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[assume,hypergeometric,taylor]

Run Example
(%i1)assume(N>
0);
(%o1)                               [N > 0]
(%i2) taylor(hypergeometric([a,-N],[1/2-N],x),x,0,1);
                                 (2 N a) x
(%o2)/T/                     1 + --------- + . . .
                                  2 N - 1
(%i3) 
Run Example
assume(n>
0);
(%o1)                               [n > 0]
(%i2) taylor(hypergeometric([-n+1,1],[1/2-n+1],1),x,0,1);
                                            3
(%o2)/T/        hypergeometric([1, 1 - n], [- - n], 1) + . . .
                                            2
(%i3) 
Run Example
assume(n>
0);
(%o1)                               [n > 0]
(%i2) taylor(hypergeometric([-n+1,1],[1/2-n+1],x),x,0,1);
                                (2 n - 2) x
(%o2)/T/                    1 + ----------- + . . .
                                  2 n - 3
(%i3) 

Related Help

Help for Assume

Help for Hypergeometric

Help for Taylor