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 - Butzer, Paul

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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UR - https://www.scopus.com/pages/publications/85154026446#tab=citedBy

U2 - 10.2298/AADM220506002B

DO - 10.2298/AADM220506002B

M3 - Article

AN - SCOPUS:85154026446

SN - 1452-8630

VL - 17

SP - 25

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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