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A note on degenerate central factorial polynomials of the second kind

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In a recent work, the degenerate central factorial numbers of the second kind were introduced. In this paper, we study the degenerate central factorial polynomials of the second kind and give some identities for these polynomials associated with special numbers and polynomials.

Abstract

In a recent work, the degenerate central factorial numbers of the second kind were introduced. In this paper, we study the degenerate central factorial polynomials of the second kind and give some identities for these polynomials associated with special numbers and polynomials.

참고문헌 (10)

  1. P. L. Butzer, "Central factorial numbers: their main properties and some applications", Number. Funct. Anal. Optim, 10(5-6), pp.419~488 (1989)
  2. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian number", Utilitas Math, 15, pp.51~88 (1979)
  3. L. Comtet, "The art of finite and infinite expansions" (1974), D. Reidel Publishing Co.
  4. Taekyun Kim, "Degenerate Bernstein polynomials", Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113(3), pp.2913~2920 (2019), Springer Science and Business Media LLC[DOI]
  5. T. Kim, "Degenerate Laplace transform and degenerate gamma function", Russ. J. Math. Phys, 24(2), pp.241~248 (2017)
  6. T. Kim, "Degenerate central factorial numbers of the second kind", ~
  7. T. Kim, "A note on central factorial numbers", Proc. Jangjeon Math, pp.575~588 (2019)
  8. M. Merca, "Connections between central factorial numbers and Bernoulli polynomials. Pe-riod", Math. Hungar, 73(2), pp.259~264 (2016)
  9. R. Riordan, "Combinatorial identities", pp.13~ (1968), John Wiley & Sons, Inc
  10. S. Roman, "The umbral calculus. Pure and Applied Mathematics", pp.10~ (1984), Academic Press, Inc

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