Triangular numbers and generalized Fibonacci polynomial

DOI10.1515/ms-2022-0099OpenAlexW4313212259MaRDI QIDQ2105718

Adem Şahın

Publication date: 8 December 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2022-0099

zbMATH Keywords

generalized Fibonacci polynomialstriangular numbersalternating triangular numbers

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Uses Software

• OEIS

Cites Work

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• On generalized Fibonacci and Lucas polynomials
• Degree \(k\) linear recursions mod \((p)\) and number fields
• Determinantal and permanental representations of convolved Lucas polynomials
• A subgroup of the group of units in the ring of arithmetic functions
• Recurrent relations for triangular numbers multiples of other triangular numbers
• Reflections on symmetric polynomials and arithmetic functions
• Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials
• Permanents, Determinants, Weighted Isobaric Polynomials and Integer Sequences

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