On binomial transform of the generalized Jacobsthal-Padovan numbers

Document Type : Research Paper

Authors
Yuksel Soykan 1
Erkan Taşdemir 2
Nejla Ozmen 3
1 Zonguldak Bulent Ecevit University, Department of Mathematics, Art and Science Faculty, 67100, Zonguldak, Turkey
2 Kirklareli University, Pinarhisar Vocational School, 39300, Kirklareli, Turkey
3 Duzce University, Faculty of Art and Science, Department of Mathematics, 81620, Duzce, Turkey
10.22075/ijnaa.2021.24437.2743
Abstract
In this paper, we define the binomial transform of the generalized Jacobsthal-Padovan sequence and as special cases, the binomial transform of the Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan, modified Jacobsthal-Padovan sequences will be introduced. We investigate their properties in details.
Keywords
binomial transform
Jacobsthal-Padovan sequence
Jacobsthal-Padovan numbers
Jacobsthal-Perrin sequence
Jacobsthal-Perrin numbers
binomial transform of Jacobsthal-Padovan sequence
generalized Tribonacci sequence
International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 1
January 2023
Pages 643-666

  • Receive Date 03 July 2021
  • Revise Date 07 September 2021
  • Accept Date 15 September 2021

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