Integral representation of Kelvin functions and their derivatives with respect to the order

Alexander Apelblat

doi:10.1007/BF00944767

Integral representation of Kelvin functions and their derivatives with respect to the order

Alexander Apelblat

Department of Chemical Engineering

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

6 Scopus citations

Abstract

Integral representations of the Kelvin functions ber_vx and bei_vx and their derivatives with respect to the order are considered. Using the Laplace transform technique the derivatives are expressed in terms of finite integrals. The Kelvin functions ber_n+1/2x and bei_n+1/2x can be presented in a closed form.

Original language	English
Pages (from-to)	708-714
Number of pages	7
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	42
Issue number	5
DOIs	https://doi.org/10.1007/BF00944767
State	Published - 1 Sep 1991

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy
Applied Mathematics

Access to Document

10.1007/BF00944767

Cite this

@article{69d5bdca1c694097aa5746d9faeb7dd1,

title = "Integral representation of Kelvin functions and their derivatives with respect to the order",

abstract = "Integral representations of the Kelvin functions bervx and beivx and their derivatives with respect to the order are considered. Using the Laplace transform technique the derivatives are expressed in terms of finite integrals. The Kelvin functions bern+1/2x and bein+1/2x can be presented in a closed form.",

author = "Alexander Apelblat",

year = "1991",

month = sep,

day = "1",

doi = "10.1007/BF00944767",

language = "English",

volume = "42",

pages = "708--714",

journal = "Zeitschrift fur Angewandte Mathematik und Physik",

issn = "0044-2275",

publisher = "Birkhauser Verlag Basel",

number = "5",

}

TY - JOUR

T1 - Integral representation of Kelvin functions and their derivatives with respect to the order

AU - Apelblat, Alexander

PY - 1991/9/1

Y1 - 1991/9/1

N2 - Integral representations of the Kelvin functions bervx and beivx and their derivatives with respect to the order are considered. Using the Laplace transform technique the derivatives are expressed in terms of finite integrals. The Kelvin functions bern+1/2x and bein+1/2x can be presented in a closed form.

AB - Integral representations of the Kelvin functions bervx and beivx and their derivatives with respect to the order are considered. Using the Laplace transform technique the derivatives are expressed in terms of finite integrals. The Kelvin functions bern+1/2x and bein+1/2x can be presented in a closed form.

UR - http://www.scopus.com/inward/record.url?scp=34249922126&partnerID=8YFLogxK

U2 - 10.1007/BF00944767

DO - 10.1007/BF00944767

M3 - Article

AN - SCOPUS:34249922126

SN - 0044-2275

VL - 42

SP - 708

EP - 714

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 5

ER -

Integral representation of Kelvin functions and their derivatives with respect to the order

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this