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

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10.1080/10652469.2022.2118738

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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",

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KW - Bessel function

KW - differentiation formulas

KW - hypergeometric function

KW - integral representation

KW - Neumann polynomial

KW - series representation

KW - Special functions

KW - summation

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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

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