Properties of the zeros of generalized hypergeometric polynomials. (English) Zbl 1301.33008
It is obtained a set of \(N\) nonlinear algebraic equations satisfied by the \(N\) zeros \(\zeta_n\) of a generalized hypergeometric polynomial of degree \(N\).
Reviewer: Cristinel Mortici (Târgovişte)
MSC:
| 33C20 | Generalized hypergeometric series, \({}_pF_q\) |
| 30C15 | Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) |
| 33B15 | Gamma, beta and polygamma functions |
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
Keywords:
hypergeometric polynomials; Diophantine properties; Jacobi polynomials; isospectral matrices; special functionsReferences:
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