The Narayana Polynomial and Narayana Hybrinomial Sequences

Abstract

Hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we introduce the Narayana polynomial sequence(or polynomial sequence of Narayana's cows) and related Narayana hybrinomial sequence. We present Binet-like formula, generating function, exponential generating function of these sequences. In addition we give some identities such as Catalan-like identity, Cassini-like identity and Ocagne-like identity for these sequences.

Keywords

• Hybrit numbers
• Narayana sequence
• Polynomials
• Hybrinomial

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