Abstract
In this present study, we intend to determine the Padovan, Perrin and Pell-Padovan dual quaternions with nonnegative and negative subscripts. In line with this purpose, we construct some new properties such as; special determinant equalities, new recurrence relations, matrix formulas, Binet-like formulas, generating functions, exponential generating functions, summation formulas, and binomial properties for these special dual quaternions.
Keywords
Quaternion
Dual (grammatical number)
Mathematics
Construct (python library)
Recurrence relation
Algebra over a field
Matrix (chemical analysis)
Exponential function
Pure mathematics
Computer science
Combinatorics
Mathematical analysis
Linguistics
Philosophy
Geometry
Subject Areas
Advanced Mathematical Theories and Applications
·Statistical and Nonlinear Physics ·Physical Sciences
Advanced Mathematical Theories
·Mathematical Physics ·Physical Sciences
Mathematics and Applications
·Geometry and Topology ·Physical Sciences
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Reduced inequalities 51%
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