Affiliation:
1. ERZINCAN BINALI YILDIRIM UNIVERSITY
Abstract
In this paper, we define bi-periodic (p,q)-Fibonacci and bi-periodic (p,q)-Lucas sequences, which generalize bi-periodic Fibonacci type and bi-periodic Lucas type sequences, using recurrence relations of (p,q)-Fibonacci and (p,q)-Lucas sequences. Generating functions and Binet formulas that allow us to calculate the 𝑛th number of these sequences are given. Also, we prove some fundamental identities conform to the well-known properties of Fibonacci and Lucas sequences.
Publisher
Sakarya University Journal of Science
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