EULERIAN FRACTIONS AND STIRLING, BERNOULLI AND EULER FUNCTIONS WITH COMPLEX ORDER PARAMETERS AND THEIR IMPACT ON THE POLYLOGARITHM FUNCTION

Paul Butzer; Tian Xiao He; Clemens Markett

doi:10.2298/AADM220506002B

EULERIAN FRACTIONS AND STIRLING, BERNOULLI AND EULER FUNCTIONS WITH COMPLEX ORDER PARAMETERS AND THEIR IMPACT ON THE POLYLOGARITHM FUNCTION

Paul Butzer, Tian Xiao He, Clemens Markett

Illinois Wesleyan University

Research output: Journal Article › Article › peer-review

Original language	English
Pages (from-to)	25-46
Number of pages	22
Journal	Applicable Analysis and Discrete Mathematics
Volume	17
Issue number	1
DOIs	https://doi.org/10.2298/AADM220506002B
State	Published - 2023

ASJC Scopus Subject Areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Keywords

Bernoulli functions
Eulerian fractions
Eulerian polynomials
Polylogarithm
Stirling functions

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10.2298/AADM220506002B

Cite this

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title = "EULERIAN FRACTIONS AND STIRLING, BERNOULLI AND EULER FUNCTIONS WITH COMPLEX ORDER PARAMETERS AND THEIR IMPACT ON THE POLYLOGARITHM FUNCTION",

keywords = "Bernoulli functions, Eulerian fractions, Eulerian polynomials, Polylogarithm, Stirling functions",

author = "Paul Butzer and He, {Tian Xiao} and Clemens Markett",

year = "2023",

doi = "10.2298/AADM220506002B",

language = "English",

volume = "17",

pages = "25--46",

journal = "Applicable Analysis and Discrete Mathematics",

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AU - He, Tian Xiao

AU - Markett, Clemens

PY - 2023

Y1 - 2023

KW - Bernoulli functions

KW - Eulerian fractions

KW - Eulerian polynomials

KW - Polylogarithm

KW - Stirling functions

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M3 - Article

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VL - 17

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EP - 46

JO - Applicable Analysis and Discrete Mathematics

JF - Applicable Analysis and Discrete Mathematics

IS - 1

ER -

EULERIAN FRACTIONS AND STIRLING, BERNOULLI AND EULER FUNCTIONS WITH COMPLEX ORDER PARAMETERS AND THEIR IMPACT ON THE POLYLOGARITHM FUNCTION

ASJC Scopus Subject Areas

Keywords

Access to Document

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