Dergiler / Advances in the Theory of Nonlinear Analysis and its Application / 2020 / Cilt: 4 - Sayı: 3

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

Sayfa
184–193
Yayın Tarihi
2020-08-31
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Delannoy two-functional sequence · Delannoy one-functional sequence · Delannoy number

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.

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Bu Makaleye Atıf Yap

Qİ, F., DAĞLI, M. C., DU, W. (2020). Determinantal forms and recursive relations of the Delannoy two-functional sequence. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 4 - Sayı: 3, 184–193. https://ajindex.com/articles/729128

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Kaynakça (9)

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