On harmonic complex Narayana-Lucas sequences and harmonic hybrid Narayana-Lucas sequences

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Document Type : Original paper

Authors

Srinivasa Ramanujan Department of Mathematics, Central University of Himachal Pradesh, Shahpur Parisar, Shahpur (HP), 176206 India

Abstract

In this paper, we begin by introducing the concept of complex Narayana-Lucas sequence. Then we proceed to discuss the concept of harmonic number within the framework of complex Narayana-Lucas sequence. Furthermore, we introduce hybrid numbers in the context of harmonic Narayana-Lucas sequence, accompanied by a set of fundamental definitions and theorems pertaining to these sequence. Additionally, we present several mathematical properties, such as generating functions, Binet formulas, and other significant identities related to these newly introduced sequence. Finally, we also provide source Maple 13 code to verify the occurrence of these newly introduced sequence.

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References

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Communications in Combinatorics and Optimization

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