On Gaussian Generalized Pierre Numbers
Sercan DOGAN *
Department of Mathematics,Faculty of Science, Zonguldak B¨ulent Ecevit University, 67100, Zonguldak, Turkey.
Yuksel SOYKAN
Department of Mathematics,Faculty of Science, Zonguldak B¨ulent Ecevit University, 67100, Zonguldak, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this article, we define and investigate Gaussian Generalized Pierre Numbers in detail, and focus on two specialized cases: Gaussian Pierre numbers, Gaussian Pierre-Lucas numbers. In addition, we present some identities and matrices related to these sequences, as well as recurrence relations, Binet’s formulas, generating functions, Simson’s formulas, and summation formulas.
Keywords: Gaussian pierre numbers, gaussian pierre-lucas numbers