On polynomial eigenfunctions of a hypergeometric-type operator.

Másson, Gisli; Shapiro, Boris

Displaying similar documents to “On polynomial eigenfunctions of a hypergeometric-type operator.”

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Álvarez-Nodarse, R., Arvesú, J., Marcellán, F. (2004)

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Marcellán, F., Petronilho, J. (1999)

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Laguerre polynomials with four parameters

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Real and complex pseudozero sets for polynomials with applications

Stef Graillat, Philippe Langlois (2007)

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Pseudozeros are useful to describe how perturbations of polynomial coefficients affect its zeros. We compare two types of pseudozero sets: the complex and the real pseudozero sets. These sets differ with respect to the type of perturbations. The first set – complex perturbations of a complex polynomial – has been intensively studied while the second one – real perturbations of a real polynomial – seems to have received little attention. We present a computable formula for the real...

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Ben Cheikh, Y., Chaggara, H. (2006)

International Journal of Mathematics and Mathematical Sciences

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Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials

Ezzaldine, Hayssam, Kostov, Vladimir Petrov (2008)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 12D10. In the present paper we consider degree 6 hyperbolic polynomials (HPs) in one variable (i.e. real and with all roots real). We are interested in such HPs whose number of equalities between roots of the polynomial and/or its derivatives is higher than expected. We give the complete study of the four families of such degree 6 even HPs and also of HPs which are primitives of degree 5 HPs. Research partially supported...

On the generalization of the Fibonacci-coefficient polynomials.

Mátyás, Ferenc (2007)

Annales Mathematicae et Informaticae

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