On the combined Jacobsthal-Padovan generalized quaternions
N. Gürses, Z. İşbilir
In this article, we examine the combined Jacobsthal-Padovan (CJP) generalized quaternions with four special cases: Jacobsthal-Padovan, Jacobsthal-Perrin,
adjusted Jacobsthal-Padovan and modified Jacobsthal-Padovan generalized quaternions. Then, recurrence relation, generating function, Binet-like formula and
exponential generating function of these quaternions are examined.
In addition to this, some new properties, special determinant equations, matrix formulas and summation formulas are discussed.
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