K. Jordaan

most citedZeros of the hypergeometric polynomial F(-n,b;c;z)

34 citations · 34 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2009

Polynomial solutions of differential-difference equations

Diego Dominici, Kathy Driver, Kerstin Jordaan

We investigate the zeros of polynomial solutions to the differential-difference equation \[ P_{n+1}(x)=A_{n}(x)P_{n}^{\prime}(x)+B_{n}(x)P_{n}(x), n=0,1,... \] where $A_{n}$ and $B…

math.CA2009

Convergence of ray sequences of Pade approximants to 2F1(a,1;c;z), c>a>0

K Driver, K Jordaan

The Padé table of $_{2} F_{1} (a, 1; c; z)$ is normal for $c > a > 0$ (cf. \cite{3}). For $m \geq n - 1$ and $c \notin {\zz}^{\phantom{}^-}$, the denominator polynomial $Q_{mn} (z)$ in t…

math.CA2008★ 34 cited

Zeros of the hypergeometric polynomial F(-n,b;c;z)

K Driver, K Jordaan

Our interest lies in describing the zero behaviour of Gauss hypergeometric polynomials $F (- n, b; c; z)$ where $b$ and $c$ are arbitrary parameters. In general, this problem has not…