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Year 2021, Volume: 11 Issue: 4, 3063 - 3071, 15.12.2021
https://doi.org/10.21597/jist.937483

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Değerli zamanını vererek inceleme yapan editör ve hakemlere teşekkür ederim.

References

  • 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

Year 2021, Volume: 11 Issue: 4, 3063 - 3071, 15.12.2021
https://doi.org/10.21597/jist.937483

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.

Project Number

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References

  • 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.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Matematik / Mathematics
Authors

Serpil Halıcı 0000-0002-8071-0437

Project Number --
Publication Date December 15, 2021
Submission Date May 16, 2021
Acceptance Date July 9, 2021
Published in Issue Year 2021 Volume: 11 Issue: 4

Cite

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. J. Inst. Sci. and Tech. December 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, no. 4 (December 2021): 3063-71. https://doi.org/10.21597/jist.937483.
EndNote Halıcı S (December 1, 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”, J. Inst. Sci. and Tech., vol. 11, no. 4, pp. 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 (December 2021), 3063-3071. https://doi.org/10.21597/jist.937483.
JAMA Halıcı S. On Some Identities Involving Cauchy Products of Central Delannoy Numbers. J. Inst. Sci. and Tech. 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, vol. 11, no. 4, 2021, pp. 3063-71, doi:10.21597/jist.937483.
Vancouver Halıcı S. On Some Identities Involving Cauchy Products of Central Delannoy Numbers. J. Inst. Sci. and Tech. 2021;11(4):3063-71.