Complex Narayana Quaternions

Complex Narayana Quaternions

Here, we first introduce complex Narayana numbers. Then, we describe a new quaternion sequence whose coefficients consist of complex Narayana numbers and that we named with complex Narayana quaternions. We also give the generating function, exponential generating function, Binet formula, and summati...

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Veröffentlicht in:Computational mathematics and mathematical physics 2024-07, Vol.64 (7), p.1431-1442
1. Verfasser: Çelemoğlu, Çağla
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Computational Mathematics and Numerical Analysis
General Numerical Methods
Mathematics
Mathematics and Statistics
Matrix representation
Quaternions
Sequences
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description Here, we first introduce complex Narayana numbers. Then, we describe a new quaternion sequence whose coefficients consist of complex Narayana numbers and that we named with complex Narayana quaternions. We also give the generating function, exponential generating function, Binet formula, and summation formulas for these sequences. Finally, we obtain a matrix representation of complex Narayana quaternions and make an application related to the matrix representation of complex Narayana quaternions.
doi_str_mv 10.1134/S0965542524700738
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subjects Computational Mathematics and Numerical Analysis
General Numerical Methods
Mathematics
Mathematics and Statistics
Matrix representation
Quaternions
Sequences
title Complex Narayana Quaternions
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