Mersenne Representation Hybrinomials

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B. MALINI DEVI, S. DEVIBALA

Abstract

In this paper, we introduce the Mersenne representation hybrinomials, that is, polynomials which are a generalization of Mersenne hybrid numbers. Also, we present some properties of Mersenne hybrinomials. We obtain generating functions, exponential generating functions and Binet formulas for Mersenne and Mersenne - Lucas hybrinomials. Also, we verify some well-known identities for Mersenne and Mersenne - Lucas hybrinomials.

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