Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials-Reference-Cited by-同舟云学术

Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials

Published:2021-09-03 Issue: Volume: Page:2250119
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Özkan Engi̇n¹,Uysal Mi̇ne²,Kuloğlu Bahar²

Affiliation:

1. Department of Mathematics, Faculty of Arts and Sciences, Erzincan Binali Yıldırım University, Erzincan 24100, Turkey

2. Graduate School of Natural and Applied Sciences, Erzincan Binali Yıldırım University, Erzincan 24100, Turkey

Abstract

We introduce the Catalan transform of the Incomplete Jacobsthal numbers. We apply the Hankel transform to the Catalan transforms of these numbers. We calculate determinants of matrixes formed with [Formula: see text]by using Hankel transform. Then we define the incomplete [Formula: see text]-Jacobsthal polynomials. Then we examine the recurrence relation and some properties of these polynomials.

Funder

The Scientific and Research Project of Erzincan Binali Yıldırım University

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557122501194

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