2019•Asian-European Journal of MathematicsRequires access

Gaussian Padovan and Gaussian Perrin numbers and properties of them

Meral YAŞAR KARTAL

Abstract

In this paper, the Gaussian Padovan and Gaussian Perrin numbers are defined. Then Binet formula and generating functions of these numbers are given. Also, some summation identities for Gaussian Padovan and Gaussian Perrin numbers are obtained by using the recurrence relation satisfied by them. Then two relations are given between Gaussian Padovan and Gaussian Perrin numbers.

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Key concepts: Gaussian, Gaussian function, Gaussian random field, Mathematics, Gaussian filter, Gaussian integer, Recurrence relation, Gaussian process