On some properties of the Neumann polynomials

Yu A. Brychkov; P. C. Sofotasios

doi:10.1080/10652469.2022.2118738

On some properties of the Neumann polynomials

Yu A. Brychkov, P. C. Sofotasios

Electrical Engineering

Russian Academy of Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Various relations including differentiation formulas, connection with hypergeometric functions, integral representations, formulas of summation and series representations for three types of Neumann polynomials are derived.

Original language	British English
Journal	Integral Transforms and Special Functions
DOIs	https://doi.org/10.1080/10652469.2022.2118738
State	Accepted/In press - 2022

Keywords

Bessel function
differentiation formulas
hypergeometric function
integral representation
Neumann polynomial
series representation
Special functions
summation

Access to Document

10.1080/10652469.2022.2118738

Cite this

@article{0b4578894866430ab291bc5f90601277,

title = "On some properties of the Neumann polynomials",

abstract = "Various relations including differentiation formulas, connection with hypergeometric functions, integral representations, formulas of summation and series representations for three types of Neumann polynomials are derived.",

keywords = "Bessel function, differentiation formulas, hypergeometric function, integral representation, Neumann polynomial, series representation, Special functions, summation",

author = "Brychkov, {Yu A.} and Sofotasios, {P. C.}",

note = "Publisher Copyright: {\textcopyright} 2022 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2022",

doi = "10.1080/10652469.2022.2118738",

language = "British English",

journal = "Integral Transforms and Special Functions",

issn = "1065-2469",

publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - On some properties of the Neumann polynomials

AU - Brychkov, Yu A.

AU - Sofotasios, P. C.

PY - 2022

Y1 - 2022

N2 - Various relations including differentiation formulas, connection with hypergeometric functions, integral representations, formulas of summation and series representations for three types of Neumann polynomials are derived.

AB - Various relations including differentiation formulas, connection with hypergeometric functions, integral representations, formulas of summation and series representations for three types of Neumann polynomials are derived.

KW - Bessel function

KW - differentiation formulas

KW - hypergeometric function

KW - integral representation

KW - Neumann polynomial

KW - series representation

KW - Special functions

KW - summation

UR - http://www.scopus.com/inward/record.url?scp=85138426359&partnerID=8YFLogxK

U2 - 10.1080/10652469.2022.2118738

DO - 10.1080/10652469.2022.2118738

M3 - Article

AN - SCOPUS:85138426359

SN - 1065-2469

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

ER -

On some properties of the Neumann polynomials

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this