A method for obtaining Fibonacci identities
arXiv:1610.038831.21 citationsh-index: 3
Originality Synthesis-oriented
AI Analysis
Provides a new technique for generating identities in recurrence sequences, but the results are incremental and domain-specific.
The paper presents a method for deriving identities for Lucas sequences and second-order linear recurrences, extending known Fibonacci identities.
For the Lucas sequence $\{U_{k}(P,Q)\}$ we discuss the identities such as the well-known Fibonacci identities. We also propose a method for obtaining identities involving recurrence sequences. With the help of which we find an interpolating type identity for second order linear recurrences.