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Generalized poly-Cauchy polynomials and their interpolating functions

Volume 136 / 2014

Takao Komatsu, Florian Luca, Claudio de J. Pita Ruiz V. Colloquium Mathematicum 136 (2014), 13-30 MSC: Primary 11B68; Secondary 05A15, 11B75. DOI: 10.4064/cm136-1-2

Abstract

We give a generalization of poly-Cauchy polynomials and investigate their arithmetical and combinatorial properties. We also study the zeta functions which interpolate the generalized poly-Cauchy polynomials.

Authors

  • Takao KomatsuGraduate School of Science and Technology
    Hirosaki University
    Hirosaki, 036-8561, Japan
    e-mail
  • Florian LucaMathematical Institute UNAM Juriquilla
    76230 Santiago de Querétaro
    Querétaro de Arteaga, Mexico
    and
    School of Mathematics
    University of the Witwatersrand
    P.O. Box Wits 2050
    Johannesburg, South Africa
    e-mail
  • Claudio de J. Pita Ruiz V.Universidad Panamericana
    Mexico City, Mexico
    e-mail

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