Dual Generalized Pandita Numbers
Fatih Zahid Kalca *
Department of Mathematics, Faculty of Science, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey.
Yuksel Soykan
Department of Mathematics, Faculty of Science, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce the dual generalized Pandita numbers defined over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we examine the dual Pandita and dual Pandita Lucas numbers. We derive Binet formulas, construct generating functions, and establish summation identities for these sequences. Furthermore, we present matrix representations associated with the proposed number sequences.
Keywords: Pandita numbers, Pandita-Lucas numbers, Dual numbers, Dual Pandita numbers