D. J. Allwright, Hypergraphic Functions and Bifurcations in Recurrence Relations, SIAM Journal on Applied Mathematics, Vol. 34, No. 4 (Jun., 1978), pp. 687-691 ...

Special Function: Functions that arise in the solution of specific differential equations or in mathematical physics, noted for their distinctive properties and recurrence relations.

We consider positive powers of a rational generating function F(x, z) of the variable z whose numerator has degree at most 1, denominator has degree 2, and where coefficients are functions of x. Many ...