Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2021, Cilt: 11 Sayı: 4, 3063 - 3071, 15.12.2021

Serpil Halıcı

https://doi.org/10.21597/jist.937483

Öz

Destekleyen Kurum

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Proje Numarası

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Teşekkür

Değerli zamanını vererek inceleme yapan editör ve hakemlere teşekkür ederim.

Kaynakça

  • Badri M, Szeptycki P, 1990. Cauchy Products of Positive Sequences, The Rocky Mountain Journal of Mathematics, 20(2), 351-357.
  • Banderier C, and Schwer S, 2005. Why Delannoy numbers?, Journal of Statistical Planning and Inference, 135(1), 40-54.
  • Deveci O, Shannon A. G, 2021. Some Aspects of Neyman Triangles and Delannoy Arrays, Mathematica Montisnigri, 1, 36-43.
  • Hetyei G., 2006. Central Delannoy numbers and balanced Cohen-Macaulay complexes, Annals of Combinatorics, 10(4), 443-462.
  • Qi F, Cernanova V, Shi XT, and Guo B.N, 2018. Some properties of central Delannoy numbers, J. Comput. Appl. Math., 328, 101-115.
  • 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.
  • 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.
  • Sulanke RA, 2003. Objects counted by the central Delannoy numbers, J. Integer Seq., 6(1).
  • Wang Y, Zheng SN, and X. Chen, 2019. Analytic aspects of Delannoy numbers, Discrete Mathematics, 42(8), 2270-2277.

On Some Identities Involving Cauchy Products of Central Delannoy Numbers

Yıl 2021, Cilt: 11 Sayı: 4, 3063 - 3071, 15.12.2021

Serpil Halıcı

https://doi.org/10.21597/jist.937483

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

Recurrences Cauchy Products Delannoy numbers identities

Proje Numarası

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Kaynakça

  • Badri M, Szeptycki P, 1990. Cauchy Products of Positive Sequences, The Rocky Mountain Journal of Mathematics, 20(2), 351-357.
  • Banderier C, and Schwer S, 2005. Why Delannoy numbers?, Journal of Statistical Planning and Inference, 135(1), 40-54.
  • Deveci O, Shannon A. G, 2021. Some Aspects of Neyman Triangles and Delannoy Arrays, Mathematica Montisnigri, 1, 36-43.
  • Hetyei G., 2006. Central Delannoy numbers and balanced Cohen-Macaulay complexes, Annals of Combinatorics, 10(4), 443-462.
  • Qi F, Cernanova V, Shi XT, and Guo B.N, 2018. Some properties of central Delannoy numbers, J. Comput. Appl. Math., 328, 101-115.
  • 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.
  • 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.
  • Sulanke RA, 2003. Objects counted by the central Delannoy numbers, J. Integer Seq., 6(1).
  • Wang Y, Zheng SN, and X. Chen, 2019. Analytic aspects of Delannoy numbers, Discrete Mathematics, 42(8), 2270-2277.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik / Mathematics
Yazarlar

Serpil Halıcı 0000-0002-8071-0437

Proje Numarası --
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 Halıcı S. On Some Identities Involving Cauchy Products of Central Delannoy Numbers. Iğdır Üniv. Fen Bil Enst. Der. Aralık 2021;11(4):3063-3071. doi:10.21597/jist.937483
Chicago Halıcı, Serpil. “On Some Identities Involving Cauchy Products of Central Delannoy Numbers”. Journal of the Institute of Science and Technology 11, sy. 4 (Aralık 2021): 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 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, 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 (Aralık 2021), 3063-3071. https://doi.org/10.21597/jist.937483.
JAMA 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, 2021, ss. 3063-71, doi:10.21597/jist.937483.
Vancouver Halıcı S. On Some Identities Involving Cauchy Products of Central Delannoy Numbers. Iğdır Üniv. Fen Bil Enst. Der. 2021;11(4):3063-71.