Extended Bernoulli and Stirling matrices and related combinatorial identities

CAN M., DAĞLI M. C.

LINEAR ALGEBRA AND ITS APPLICATIONS, cilt.444, ss.114-131, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 444
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.laa.2013.11.031
  • Dergi Adı: LINEAR ALGEBRA AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.114-131
  • Anahtar Kelimeler: Bernoulli polynomials, Stirling numbers, Hyperharmonic numbers, Pascal matrix, Bernoulli matrix, Stirling matrix, DEGENERATE BERNOULLI, LINEAR ALGEBRA, POLYNOMIALS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper we establish plenty of number theoretic and combinatoric identities involving generalized Bernoulli polynomials and Stirling numbers of both kinds, which generalize various known identities. These formulas are deduced from Pascal type matrix representations of Bernoulli and Stirling numbers. For this we define and factorize a modified Pascal matrix corresponding to Bernoulli and Stirling cases. (C) 2013 Elsevier Inc. All rights reserved.