Generalized Euler-Genocchi Polynomials and Lucas Numbers

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F20%3AA2102944" target="_blank" >RIV/61988987:17310/20:A2102944 - isvavai.cz</a>

Result on the web

<a href="http://math.colgate.edu/~integers/vol20.html" target="_blank" >http://math.colgate.edu/~integers/vol20.html</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Generalized Euler-Genocchi Polynomials and Lucas Numbers

Original language description

The family of Euler-Genocchi polynomials has been studied recently. We use its generating function to define an extension of this family to generalized Euler-Genocchi polynomials of order m. This family of polynomials contains the generalized Euler and generalized Genocchi polynomials as special members. We derive some combinatorial properties of these polynomials. Moreover, we prove two combinatorial identities involving generalized Euler-Genocchi polynomials and products of Lucas numbers. Some special cases are stated and compared to existing results. Finally, we define the generalized Bernoulli polynomials of order r and m and connect them combinatorially to Fibonacci numbers.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

INTEGERS

ISSN

1553-1732

e-ISSN

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Volume of the periodical

20

Issue of the periodical within the volume

1

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

16

Pages from-to

1-16

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85098449198