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 esta...
Open access
Research Article10.9734/ajarr/2026/v20i11272
This paper introduces the framework of generalized dual hyperbolic Pandita numbers, contributing a novel class of structured sequences to the expanding domain of number theory. Anchored in the principles of dual and hyperbolic systems, these constructs pave the way for exploring...
Open access
Research Article10.9734/acri/2025/v25i81428
In this study, we introduce and investigate a new class of numerical sequences in the complex domain—Gaussian generalized Pandita numbers—which extend the classical theory of linear recurrence relations. In particular, we focus on two distinct cases: the Gaussian Pandita numbers...
Open access
Research Article10.9734/ajarr/2025/v19i71079