On the reciprocal products of generalized Fibonacci sequences

Abstract

Abstract In this paper, we use the properties of error estimation and the analytic method to study the reciprocal products of the bi-periodic Fibonacci sequence, the bi-periodic Lucas sequence, and the mth-order linear recursive sequence.

Keywords

• Reciprocal products
• Bi-periodic Fibonacci sequence
• Bi-periodic Lucas sequence
• mth-order linear recursive sequence
• Landau symbol
• Asymptotic equivalence