SHIFTED EULER-SEIDEL MATRICES

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DİL A., Firengiz M. C.

MISKOLC MATHEMATICAL NOTES, vol.18, no.1, pp.173-188, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.18514/mmn.2017.1662
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.173-188
  • Keywords: Fibonacci p-numbers, (incomplete) bivariate Fibonacci p-polynomials, generating functions, BINET FORMULAS, FIBONACCI
  • Akdeniz University Affiliated: No

Abstract

In this study defining Shifted Euler-Seidel matrices we generalize the Euler-Seidel matrices method. Owing to this generalization one can investigate any sequences. (s(n)) which have two term linear recurrences as s(m+n) = alpha s(m+n-1) + beta s(n-1) (alpha and beta are real parameters and n, m is an element of Z(+)). By way of illustration, we give some examples related to the Fibonacci p-numbers.