Araştırma Makalesi

On Some Identities Involving Cauchy Products of Central Delannoy Numbers

Cilt: 11 Sayı: 4 15 Aralık 2021
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On Some Identities Involving Cauchy Products of Central Delannoy Numbers

Öz

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.

Anahtar Kelimeler

Proje Numarası

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Kaynakça

  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).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

15 Aralık 2021

Gönderilme Tarihi

16 Mayıs 2021

Kabul Tarihi

9 Temmuz 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 11 Sayı: 4

Kaynak Göster

APA
Halıcı, S. (2021). On Some Identities Involving Cauchy Products of Central Delannoy Numbers. Journal of the Institute of Science and Technology, 11(4), 3063-3071. https://doi.org/10.21597/jist.937483
AMA
1.Halıcı S. On Some Identities Involving Cauchy Products of Central Delannoy Numbers. Iğdır Üniv. Fen Bil Enst. Der. 2021;11(4):3063-3071. doi:10.21597/jist.937483
Chicago
Halıcı, Serpil. 2021. “On Some Identities Involving Cauchy Products of Central Delannoy Numbers”. Journal of the Institute of Science and Technology 11 (4): 3063-71. https://doi.org/10.21597/jist.937483.
EndNote
Halıcı S (01 Aralık 2021) On Some Identities Involving Cauchy Products of Central Delannoy Numbers. Journal of the Institute of Science and Technology 11 4 3063–3071.
IEEE
[1]S. Halıcı, “On Some Identities Involving Cauchy Products of Central Delannoy Numbers”, Iğdır Üniv. Fen Bil Enst. Der., c. 11, sy 4, ss. 3063–3071, Ara. 2021, doi: 10.21597/jist.937483.
ISNAD
Halıcı, Serpil. “On Some Identities Involving Cauchy Products of Central Delannoy Numbers”. Journal of the Institute of Science and Technology 11/4 (01 Aralık 2021): 3063-3071. https://doi.org/10.21597/jist.937483.
JAMA
1.Halıcı S. On Some Identities Involving Cauchy Products of Central Delannoy Numbers. Iğdır Üniv. Fen Bil Enst. Der. 2021;11:3063–3071.
MLA
Halıcı, Serpil. “On Some Identities Involving Cauchy Products of Central Delannoy Numbers”. Journal of the Institute of Science and Technology, c. 11, sy 4, Aralık 2021, ss. 3063-71, doi:10.21597/jist.937483.
Vancouver
1.Serpil Halıcı. On Some Identities Involving Cauchy Products of Central Delannoy Numbers. Iğdır Üniv. Fen Bil Enst. Der. 01 Aralık 2021;11(4):3063-71. doi:10.21597/jist.937483

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