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This paper introduces the q-analogue of biperiodic Fibonacci and Lucas polynomials, providing their generating functions and various properties. It also defines the q-analogue of biperiodic incomplete Fibonacci and Lucas polynomials, demonstrating that they satisfy nonlinear recurrence relations and establishing several summation formulas. The authors aim to expand the understanding of these sequences through combinatorial properties and explicit formulas.

Author
Öabt Hocası
Language
EN

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