Generalized poly-Cauchy polynomials and their interpolating functions

Takao Komatsu; Florian Luca; Claudio de J. Pita Ruiz V.

Colloquium Mathematicae (2014)

  • Volume: 136, Issue: 1, page 13-30
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Takao Komatsu, Florian Luca, and Claudio de J. Pita Ruiz V.. "Generalized poly-Cauchy polynomials and their interpolating functions." Colloquium Mathematicae 136.1 (2014): 13-30. <http://eudml.org/doc/283583>.

@article{TakaoKomatsu2014,
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.},
author = {Takao Komatsu, Florian Luca, Claudio de J. Pita Ruiz V.},
journal = {Colloquium Mathematicae},
keywords = {poly-Cauchy numbers; poly-Cauchy polynomials; poly-Bernoulli numbers; Stirling numbers; Arakawa-Kaneko zeta function; interpolating functions},
language = {eng},
number = {1},
pages = {13-30},
title = {Generalized poly-Cauchy polynomials and their interpolating functions},
url = {http://eudml.org/doc/283583},
volume = {136},
year = {2014},
}

TY - JOUR
AU - Takao Komatsu
AU - Florian Luca
AU - Claudio de J. Pita Ruiz V.
TI - Generalized poly-Cauchy polynomials and their interpolating functions
JO - Colloquium Mathematicae
PY - 2014
VL - 136
IS - 1
SP - 13
EP - 30
AB - 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.
LA - eng
KW - poly-Cauchy numbers; poly-Cauchy polynomials; poly-Bernoulli numbers; Stirling numbers; Arakawa-Kaneko zeta function; interpolating functions
UR - http://eudml.org/doc/283583
ER -

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