RIEMANN-HILBERT CHARACTERIZATION FOR MAIN BESSEL POLYNOMIALS WITH VARYING LARGE NEGATIVE PARAMETERS

doi:10.1016/S0252-9602(14)60028-X

Abstract

Abstract:

In this article, we establish the Bessel polynomials with varying large negative parameters and discuss their orthogonality based on the generalized Bessel polynomials. By using the Riemann-Hilbert boundary value problem on the positive real axis, we get the Riemann-Hilbert characterization of the main Bessel polynomials with varying large negative parameters.

Key words: Generalized Bessel polynomials, Bessel polynomials with varying large neg-ative parameters, orthogonality, Riemann-Hilbert boundary value problem, Riemann-Hilbert characterization

CLC Number:

42C05

DUAN Ping, DU Jin-Yuan. RIEMANN-HILBERT CHARACTERIZATION FOR MAIN BESSEL POLYNOMIALS WITH VARYING LARGE NEGATIVE PARAMETERS[J].Acta mathematica scientia,Series B, 2014, 34(2): 557-567.

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