Second order differential equations with complex-valued coefficients
Miloš Ráb (1972)
Czechoslovak Mathematical Journal
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Displaying similar documents to “On the zeros of generalized Jacobi's orthogonal polynomials”
Second order differential equations with complex-valued coefficients
Higher monotonicity properties of certain Sturm-Liouville functions
Elena Pavlíková (1981)
Archivum Mathematicum
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On the zeros of a function related to Bessel functions
Martin E. Muldoon (1982)
Archivum Mathematicum
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On a Szegö's theorem of orthogonal polynomials.
Jesús Sánchez Dehesa (1979)
Revista Matemática Hispanoamericana
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It is found that the asymptotical density of zeros of a system of orthogonal polynomials whose weight function belongs to a wide class of distribution functions has the expression ρ(x) = π (1 - x). This result is shown in two completely different ways: (1) from a Szegö theorem and (2) from a Geronimus theorem and a finding recently obtained by the author in a context of Jacobi matrices.