Meixner–Sobolev orthogonal polynomials: Mehler–Heine type formula and zeros

• Juan J. Moreno-Balcázar ^[1]
  1. [1] Universidad de Almería

     Universidad de Almería

     Almería, España

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 284, Nº 1 (15 August 2015), 2015, págs. 228-234
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.11.018
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• Resumen

  • We provide a Mehler–Heine type formula for a nonstandard family of discrete orthogonal polynomials. Concretely, we consider the Δ-Meixner–Sobolev polynomials which are orthogonal with respect to an inner product involving the Pascal distribution and the forward difference operator. Consequences on the zeros of these polynomials are analyzed and illustrated numerically.