Uneingeschränkter Zugang

A determinantal expression and a recursive relation of the Delannoy numbers

   | 30. Dez. 2021

Zitieren

[1] C. Banderier and S. Schwer, Why Delannoy numbers? J. Statist. Plann. Inference, 135 (2005), no. 1, 40–54; available online at https://doi.org/10.1016/j.jspi.2005.02.004.10.1016/j.jspi.2005.02.004 Search in Google Scholar

[2] N. Bourbaki, Elements of Mathematics: Functions of a Real Variable: Elementary Theory, Translated from the 1976 French original by Philip Spain. Elements of Mathematics (Berlin). Springer-Verlag, Berlin, 2004; available online at http://dx.doi.org/10.1007/978-3-642-59315-4.10.1007/978-3-642-59315-4 Search in Google Scholar

[3] N. D. Cahill and D. A. Narayan, Fibonacci and Lucas numbers as tridiagonal matrix determinants, Fibonacci Quart., 42 (2004), no. 3, 216–221. Search in Google Scholar

[4] F. Qi, A determinantal expression and a recursive relation of the Delannoy numbers, arXiv preprint (2020), available online at https://arxiv.org/abs/2003.12572. Search in Google Scholar

[5] F. Qi, V.Čerňanová, and Y. S. Semenov, 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 (2019), no. 1, 123–136. Search in Google Scholar

[6] F. Qi, V.Čerňanová, X.-T. Shi, and B.-N. Guo, Some properties of central Delannoy numbers, J. Comput. Appl. Math., 328 (2018), 101–115; available online at https://doi.org/10.1016/j.cam.2017.07.013.10.1016/j.cam.2017.07.013 Search in Google Scholar

[7] Y. Wang, S.-N. Zheng, and X. Chen, Analytic aspects of Delannoy numbers, Discrete Math., 342 (2019), no. 8, 2270–2277; available online at https://doi.org/10.1016/j.disc.2019.04.003.10.1016/j.disc.2019.04.003 Search in Google Scholar

eISSN:
2066-7752
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
2 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines