SavedAdd your journal

Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2021 / Cilt: 11 Sayı: 4

On Some Identities Involving Cauchy Products of Central Delannoy Numbers

Serpil Halıcı(Sakarya Üniversitesi, Pamukkale Üniversitesi)0000-0002-8071-0437
Pages
3063–3071
Publication Date
2021-12-15
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, using their recurrence relation we have derived some important identities such as the Cassini and Catalan's identities which contain these products.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we have examined Cauchy products of central Delannoy numbers.
📊
Key Findings & Data:In this paper, we have examined Cauchy products of central Delannoy numbers.
💡
Conclusion & Impact:Moreover, using their recurrence relation we have derived some important identities such as the Cassini and Catalan's identities which contain these products.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Recurrences · Cauchy Products · Delannoy numbers

Abstract

In this paper, we have examined Cauchy products of central Delannoy numbers. Moreover, using their recurrence relation we have derived some important identities such as the Cassini and Catalan's identities which contain these products.

🔖

Cite This Article

Halıcı, S., *, S. H. (2021). On Some Identities Involving Cauchy Products of Central Delannoy Numbers. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 11 Sayı: 4, 3063–3071. https://doi.org/10.21597/jist.937483

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (9)

  1. Badri M, Szeptycki P, 1990. Cauchy Products of Positive Sequences, The Rocky Mountain Journal of Mathematics, 20(2), 351-357.
  2. Banderier C, and Schwer S, 2005. Why Delannoy numbers?, Journal of Statistical Planning and Inference, 135(1), 40-54.
  3. Deveci O, Shannon A. G, 2021. Some Aspects of Neyman Triangles and Delannoy Arrays, Mathematica Montisnigri, 1, 36-43.
  4. Hetyei G., 2006. Central Delannoy numbers and balanced Cohen-Macaulay complexes, Annals of Combinatorics, 10(4), 443-462.
  5. Qi F, Cernanova V, Shi XT, and Guo B.N, 2018. Some properties of central Delannoy numbers, J. Comput. Appl. Math., 328, 101-115.
  6. Qi F, Cernanova V, and Y. S. Semenov, 2019. Some tridiagonal determinants related to central Delannoy numbers, the Chebyshev polynomials, and the Fibonacci polynomials, Politehn. Univ. Bucharest Sci. Bull. Ser. A. Appl. Math. Phys, 81(1), 123-136.
  7. Qi F, B. N. Guo, V. Cernanova and Shi XT, 2016. Explicit expressions, Cauchy products, integral representations, convexity, and inequalities of central Delannoy numbers, ResearchGate preprint, available online at http://dx.doi.org/10.13140/RG.2.1.4889.6886.
  8. Sulanke RA, 2003. Objects counted by the central Delannoy numbers, J. Integer Seq., 6(1).
  9. Wang Y, Zheng SN, and X. Chen, 2019. Analytic aspects of Delannoy numbers, Discrete Mathematics, 42(8), 2270-2277.