  Recursive formulas extending some known $_{2}F_{1}$ and $_{3}F_{2}$ summation
formulas by using contiguous relations have been obtained. On the one hand,
these recursive equations are quite suitable for symbolic and numerical
evaluation by means of computer algebra. On the other hand, sometimes
closed-forms of such extensions can be derived by induction. It is expected
that the method used to obtain the different recursive equations can be applied
to extend other hypergeometric summation formulas given in the literature.
