On the self-convolution of generalized Fibonacci numbers

DOI10.2989/16073606.2022.2043949arXiv1703.00323OpenAlexW4220809045MaRDI QIDQ6110358

Jean-Gabriel Luque, Hacène Belbachir, Unnamed Author

Publication date: 5 July 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00323

zbMATH Keywords

generating functionsconvolutionFibonacci numbersclassical invariant theory

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Recurrences (11B37) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Nonlinear ordinary differential operators (34L30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• An alternative approach to Cigler's \(q\)-Lucas polynomials
• The invariants of the binary nonic
• The invariants of the binary decimic
• A \(q\)-analogue for bi\(^{s}\)nomial coefficients and generalized Fibonacci sequences
• Aitken Sequences and Generalized Fibonacci Numbers
• Fibonacci Numbers and Aitken Sequences Revisited
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