
doi: 10.1137/0518064
Wimp shows that the hypergeometric polynomials \[ P_ n(z)=_{p+2}F_{p+1}(-n,n+\lambda,a_ p;b_{p+1};z),\quad n=0,1,...\quad, \] satisfies a certain differential-difference equation. Here we show that all ''common'' solutions to the standard differential equations and the standard difference equation satisfied by the \(P_ n(z)\) also satisfy the above mentioned differential-difference equation.
Classical hypergeometric functions, \({}_2F_1\), differential-difference equation
Classical hypergeometric functions, \({}_2F_1\), differential-difference equation
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