# §17.6 Function

## §17.6(iv) Differential Equations

### ¶ -Differential Equation

(17.6.27) reduces to the hypergeometric equation (15.10.1) with the substitutions , , , followed by .

## §17.6(v) Integral Representations

where , , and the contour of integration separates the poles of from those of , and the infimum of the distances of the poles from the contour is positive.

## §17.6(vi) Continued Fractions

For continued-fraction representations of the function, see Cuyt et al. (2008, pp. 395–399).