On Balancing and Lucas-balancing Quaternions
Copyright policy )On Balancing and Lucas-balancing Quaternions
Abstract The aim of this article is to investigate two new classes of quaternions, namely, balancing and Lucas-balancing quaternions that are based on balancing and Lucas-balancing numbers, respectively. Further, some identities including Binet’s formulas, summation formulas, Catalan’s identity, etc. concerning these quaternions are also established.
recurrence relations, quaternions, General Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Linear algebraic groups over the reals, the complexes, the quaternions, balancing numbers, [MATH] Mathematics [math], [MATH]Mathematics [math], Lucas-balancing numbers
recurrence relations, quaternions, General Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Linear algebraic groups over the reals, the complexes, the quaternions, balancing numbers, [MATH] Mathematics [math], [MATH]Mathematics [math], Lucas-balancing numbers
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