Identities arising from higher-order Daehee polynomial bases

Dae San Kim; Taekyun Kim

Open Mathematics (2015)

  • Volume: 13, Issue: 1, page 196-208, electronic only
  • ISSN: 2391-5455

Abstract

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Here we will derive formulas for expressing any polynomial as linear combinations of two kinds of higherorder Daehee polynomial basis. Then we will apply these formulas to certain polynomials in order to get new and interesting identities involving higher-order Daehee polynomials of the first kind and of the second kind.

How to cite

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Dae San Kim, and Taekyun Kim. "Identities arising from higher-order Daehee polynomial bases." Open Mathematics 13.1 (2015): 196-208, electronic only. <http://eudml.org/doc/268771>.

@article{DaeSanKim2015,
abstract = {Here we will derive formulas for expressing any polynomial as linear combinations of two kinds of higherorder Daehee polynomial basis. Then we will apply these formulas to certain polynomials in order to get new and interesting identities involving higher-order Daehee polynomials of the first kind and of the second kind.},
author = {Dae San Kim, Taekyun Kim},
journal = {Open Mathematics},
keywords = {Higher-order Daehee polynomial bases; Daehee polynomial of the first kind; Daehee polynomial of the second kind; Umbral calculus; higher-order Daehee polynomial bases; Daehee polynomial of the second kind; umbral calculus},
language = {eng},
number = {1},
pages = {196-208, electronic only},
title = {Identities arising from higher-order Daehee polynomial bases},
url = {http://eudml.org/doc/268771},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Dae San Kim
AU - Taekyun Kim
TI - Identities arising from higher-order Daehee polynomial bases
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - 196
EP - 208, electronic only
AB - Here we will derive formulas for expressing any polynomial as linear combinations of two kinds of higherorder Daehee polynomial basis. Then we will apply these formulas to certain polynomials in order to get new and interesting identities involving higher-order Daehee polynomials of the first kind and of the second kind.
LA - eng
KW - Higher-order Daehee polynomial bases; Daehee polynomial of the first kind; Daehee polynomial of the second kind; Umbral calculus; higher-order Daehee polynomial bases; Daehee polynomial of the second kind; umbral calculus
UR - http://eudml.org/doc/268771
ER -

References

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