On sequences of numbers and polynomials defined by linear recurrence relations of order 2 (Q1035173)
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scientific article; zbMATH DE number 5627902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On sequences of numbers and polynomials defined by linear recurrence relations of order 2 |
scientific article; zbMATH DE number 5627902 |
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On sequences of numbers and polynomials defined by linear recurrence relations of order 2 (English)
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10 November 2009
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Summary: Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2. The applications of the method to the Fibonacci and Lucas numbers, Chebyshev polynomials, the generalized Gegenbauer-Humbert polynomials are also discussed. The derived idea provides a general method to construct identities of number or polynomial sequences defined by linear recurrence relations. The applications using the method to solve some algebraic and ordinary differential equations are presented.
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