• Title/Summary/Keyword: zeros Stirling numbers

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A RESEARCH ON THE GENERALIZED POLY-BERNOULLI POLYNOMIALS WITH VARIABLE a

  • JUNG, Nam-Soon;RYOO, Cheon Seoung
    • Journal of applied mathematics & informatics
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    • v.36 no.5_6
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    • pp.475-489
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    • 2018
  • In this paper, by using the polylogarithm function, we introduce a generalized poly-Bernoulli numbers and polynomials with variable a. We find several combinatorial identities and properties of the polynomials. We give some properties that is connected with the Stirling numbers of second kind. Symmetric properties can be proved by new configured special functions. We display the zeros of the generalized poly-Bernoulli polynomials with variable a and investigate their structure.

A NOTE ON DEGENERATE LAH-BELL POLYNOMIALS ARISING FROM DERIVATIVES

  • Piao, Xiangfan;Kim, Yunjae;Kwon, Jongkyum
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.4
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    • pp.733-747
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    • 2021
  • Recently, Kim-Kim introduced Lah-Bell polynomials and numbers, and investigated some properties and identities of these polynomials and numbers. Kim studied Lah-Bell polynomials and numbers of degenerate version. In this paper, we study degenerate Lah-Bell polynomials arising from differential equations. Moreover, we investigate the phenomenon of scattering of the zeros of these polynomials.