Determinantal forms and recursive relations of the Delannoy two-functional sequence

Year 2020, Volume: 4 Issue: 3, 184 - 193, 31.08.2020

Feng Qi Muhammet Cihat Dağlı Wei-shih Du

https://doi.org/10.31197/atnaa.772734

Cited By: 5

Abstract

In the paper, the authors establish closed forms for the Delannoy two-functional sequence and its difference in terms of the Hessenberg determinants, derive recursive relations for the Delannoy two-functional sequence and its difference, and deduce closed forms, in terms of the Hessenberg determinants, and recursive relations for the Delannoy one-functional sequence, the Delannoy numbers, and central Delannoy numbers.

In the paper, the authors establish closed forms for the Delannoy two-functional sequence and its difference in terms of the Hessenberg determinants, derive recursive relations for the Delannoy two-functional sequence and its difference, and deduce closed forms, in terms of the Hessenberg determinants, and recursive relations for the Delannoy one-functional sequence, the Delannoy numbers, and central Delannoy numbers.

Keywords

Delannoy two-functional sequence, Delannoy one-functional sequence, Delannoy number, central Delannoy number

Supporting Institution

Ministry of Science and Technology Republic of China

Project Number

MOST-107-2115-M-017-004-MY2

Thanks

Thank a lot

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