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

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:4 Issue:3
Determinantal forms and recursive relations of the Delannoy two-functional sequence

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

Authors : Feng Qİ, Muhammet Cihat DAĞLI, Weishih DU

Pages : 184-193

Doi:10.31197/atnaa.772734

View : 8 | Download : 6

Publication Date : 2020-08-31

Article Type : Research Paper

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

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