Studying the properties of the Fibonacci sequence in other contexts
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The paper identifies a gap in the study of generalized Fibonacci numbers and their associated matrices. The authors note that the properties of these numbers and matrices are not well understood.
Evidence profile
Sourced from the future-work section and stated research gap of the source papers, classified as general, drawn from work published between 1960 and 2026, spanning 3 journals. Those papers have been cited 183 times in total.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 3 representative gaps
- A Pair of Diophantine Equations and Fibonacci-Like Sequences (2026) · The Fibonacci Quarterly · doi
Future research can focus on generalizing the results to more general sequences. Future research can focus on applying the results to various fields. Future research can focus on studying the properties of Fibonacci-like sequences.
generalfuture-work sectionevidence 5/5Keywords: future research focus generalizing results general sequences applying - Quadratic approximation of generalized Tribonacci sequences (2018) · Discussiones Mathematicae - General Algebra and Applications · cited 3× · doi
Further study of the generalized Tribonacci sequence is needed. The results can be applied to the study of other recursive sequences. The derivation of new sequences using the results is a potential area of research.
generalfuture-work sectionevidence 5/5Keywords: further study generalized tribonacci sequence needed results applied - Generalized Fibonacci Numbers and Associated Matrices (1960) · American Mathematical Monthly · cited 180× · doi
The paper identifies a gap in the study of generalized Fibonacci numbers and their associated matrices. The authors note that the properties of these numbers and matrices are not well understood.
generalstated research gapevidence 5/5Keywords: paper identifies gap study generalized fibonacci numbers associated
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