The computation of special functions by linear difference equations.

*(English)* Zbl 0892.65008
Elaydi, S. (ed.) et al., Advances in difference equations. Proceedings of the 2nd international conference on difference equations, Veszprém, Hungary, August 7–11, 1995. Langhorne, PA: Gordon and Breach Science Publishers. 213-243 (1997).

Summary: The use of linear difference equations for the computation of special functions is discussed, especially with regard to numerical stability. The emphasis is on difference equations of the first and second order. Phenomena of instability and pseudostability are exhibited along with numerical algorithms to deal with them.

##### MSC:

65D20 | Computation of special functions, construction of tables |

65Q05 | Numerical methods for functional equations (MSC2000) |

33B20 | Incomplete beta and gamma functions |