Strong asymptotics for extremal polynomials off a complex curve.
Khaldi, Rabah (2004)
Journal of Applied Mathematics
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Khaldi, Rabah (2004)
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Khaldi, R., Benzine, R. (2001)
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A new approach to the study of zeros of orthogonal polynomials with respect to an Hermitian and regular linear functional is presented. Some results concerning zeros of kernels are given.
Berriochoa, E., Cachafeiro, A., Garcia-Amor, J.M. (2005)
International Journal of Mathematics and Mathematical Sciences
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Maroni, P., Tounsi, M.Ihsen (2004)
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Iwona Naraniecka, Jan Szynal, Anna Tatarczak (2013)
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The extremal functions f0(z) realizing the maxima of some functionals (e.g. max |a3|, and max arg f′(z)) within the so-called universal linearly invariant family Uα (in the sense of Pommerenke [10]) have such a form that f′0(z) looks similar to generating function for Meixner-Pollaczek (MP) polynomials [2], [8]. This fact gives motivation for the definition and study of the generalized Meixner-Pollaczek (GMP) polynomials Pλn (x; θ,ψ) of a real variable x as coefficients of [###] where...
Ruedemann, Richard W. (1994)
International Journal of Mathematics and Mathematical Sciences
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