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A note on r-Whitney type central factorial numbers of the second kind

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The central factorial numbers of the second kind are studied by several authors. In this paper, we study the r-Whitney type central numbers of the second kind and we give some identities and properties associated with special numbers.

Abstract

The central factorial numbers of the second kind are studied by several authors. In this paper, we study the r-Whitney type central numbers of the second kind and we give some identities and properties associated with special numbers.

참고문헌 (12)

  1. P. L. Butzer, "Central factorial numbers; their main properties and some applications", Numer. Funct. Anal. Optim, (5-6), pp.419~488 (1989)
  2. L. Comtet, "Advanced combinatorics. The art of finite and infinite expansions", pp.xi+343~ (1974), D. Reidel Publishing Co.
  3. D. V. Dolgy, "SOME EXPLICIT FORMULAS OF DEGENERATE STIRLING NUMBERS ASSOCIATED WITH THE DEGENERATE SPECIAL NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(2), pp.309~317 (2018), 장전수학회[DOI]
  4. 김태균, "A NOTE ON CENTRAL FACTORIAL NUMBERS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(4), pp.575~588 (2018), 장전수학회[DOI]
  5. 김택연, "A note on degenerate stirling polynomials of the second kind", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.319~332 (2017), 장전수학회[DOI]
  6. T. Kim, "Degenerate r-Stirling numbers and r-Bell polyno-mials", Russ. J. Math. Phys, 25(1), pp.44~58 (2018)
  7. M. Merca, "Connections between central factorial numbers and Bernoulli polynomials", Pe-riod. Math. Hungar, 73(2), pp.259~264 (2016)
  8. I. Mezo, "some identities of the r-Whitney numbers", Aequationes Math, 90(2), pp.393~406 (2016)
  9. S. Nadarajah, "Factorial, raw and central moments", Math. Sci, 41(1), pp.65~71 (2016)
  10. R. Riordan, "Combinatorial identities", pp.xiii+256~ (1968), John Wiley & Sons, Inc.
  11. 1984, , pp.ISBN: 0-12-594380-6, x+193~
  12. A. Xu, "Some identities related to the r-Whitney numbers", integral transforms Spec. Funct, 27(11), pp.920~929 (2016)

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