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SOME IDENTITIES OBTAINED BY USING THE CONCEPT OF EXPONENTIAL RIORDAN MATRICES

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영남수학회 (Youngnam Mathematical Society)|2023.01|East Asian Mathematical Journal|제39권 제1호|pp. 23-27

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참고문헌

키워드

Catalan numbersexponential Riordan matrixMultifactorial numbers.
주제분류수학

초록

In this paper, we derive the some identities which are related to the multifactorial numbers and the Catalan numbers. We utilize the fundamental theorem of Riordan matrix to obtain those identities.

Abstract

In this paper, we derive the some identities which are related to the multifactorial numbers and the Catalan numbers. We utilize the fundamental theorem of Riordan matrix to obtain those identities.

참고문헌 (6)

  1. P. Barry, "Exponential Riordan arrays and permutation enumeration", J. of Integer Sequences, 13 (2010)
  2. G. -S. Cheon, "Generalized Bessel numbers and some combinatorial settings", Discrete Math, 313, pp.2127~2138 (2013)
  3. J. -H. Jung, "The r-Bessel and restricted r-Bell numbers", Australas. J. Comb, 70, pp.202~220 (2018)
  4. D. Merlini, "Lagrange inversion : when and how", Acta Appl. Math, 94, pp.233~246 (2006)
  5. L. W. Shapiro, "The Riordan group", Adv. Appl. Math, 34, pp.229~239 (1991)
  6. "The on-line encyclopedia of integer sequences"[URL]

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