Modified Laguerre Matrix Polynomials

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KARGIN L., Kurt V.

FILOMAT, cilt.28, sa.10, ss.2069-2076, 2014 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 10
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1410069k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2069-2076
  • Anahtar Kelimeler: Laguerre matrix polynomials, Modified Laguerre matrix polynomials, generating matrix functions, Matrix differential equation, BOUNDED INTERVALS, ASYMPTOTICS, SERIES
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, modified Laguerre matrix polynomials which appear as finite series solutions of second-order matrix differential equation are introduced. Some formulas related to an explicit expression, a three-term matrix recurrence relation and a Rodrigues formula are obtained. Several families of bilinear and bilateral generating matrix functions for modified Laguerre matrix polynomials are derived. Finally a new generalization of the Laguerre-type matrix polynomials is introduced.