On the connection formulas of the third painlevé transcendent

R. Wong; H. Y. Zhang

doi:10.1142/9789814656054_0055

On the connection formulas of the third painlevé transcendent

R. Wong
, H. Y. Zhang

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 12 - Chapter in an edited book (Author) › peer-review

Abstract

We consider the connection problem for the sine-Gordon PIII equation formula which is the most commonly studied case among all general third Painlevé transcendents. The connection formulas are derived by the method of “uniform asymptotics” proposed by Bassom, Clarkson, Law and McLeod (Arch. Rat. Mech. Anal., 1998). © 2016 by World Scientific Publishing Co. Ptc. Ltd.

Original language	English
Title of host publication	Selected Works Of Roderick S. C. Wong, The (In 3 Volumes)
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	1224-1243
ISBN (Print)	9789814656054
DOIs	https://doi.org/10.1142/9789814656054_0055
Publication status	Published - 5 Aug 2015

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

Bessel functions
Connection formulas
Parabolic cylinder functions
Sine-gordon PIII equation
The third painlevé transcendent (PIII)
Uniform asymptotics

Access Output

10.1142/9789814656054_0055

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@inbook{89810ad91f3d4cd08d8c6a7d50a77f92,

title = "On the connection formulas of the third painlev{\'e} transcendent",

abstract = "We consider the connection problem for the sine-Gordon PIII equation formula which is the most commonly studied case among all general third Painlev{\'e} transcendents. The connection formulas are derived by the method of “uniform asymptotics” proposed by Bassom, Clarkson, Law and McLeod (Arch. Rat. Mech. Anal., 1998). {\textcopyright} 2016 by World Scientific Publishing Co. Ptc. Ltd.",

keywords = "Bessel functions, Connection formulas, Parabolic cylinder functions, Sine-gordon PIII equation, The third painlev{\'e} transcendent (PIII), Uniform asymptotics",

author = "R. Wong and Zhang, \{H. Y.\}",

note = "Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].",

year = "2015",

month = aug,

day = "5",

doi = "10.1142/9789814656054\_0055",

language = "English",

isbn = "9789814656054",

pages = "1224--1243",

booktitle = "Selected Works Of Roderick S. C. Wong, The (In 3 Volumes)",

publisher = "World Scientific Publishing Co. Pte Ltd",

address = "Singapore",

}

TY - CHAP

T1 - On the connection formulas of the third painlevé transcendent

AU - Wong, R.

AU - Zhang, H. Y.

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2015/8/5

Y1 - 2015/8/5

N2 - We consider the connection problem for the sine-Gordon PIII equation formula which is the most commonly studied case among all general third Painlevé transcendents. The connection formulas are derived by the method of “uniform asymptotics” proposed by Bassom, Clarkson, Law and McLeod (Arch. Rat. Mech. Anal., 1998). © 2016 by World Scientific Publishing Co. Ptc. Ltd.

AB - We consider the connection problem for the sine-Gordon PIII equation formula which is the most commonly studied case among all general third Painlevé transcendents. The connection formulas are derived by the method of “uniform asymptotics” proposed by Bassom, Clarkson, Law and McLeod (Arch. Rat. Mech. Anal., 1998). © 2016 by World Scientific Publishing Co. Ptc. Ltd.

KW - Bessel functions

KW - Connection formulas

KW - Parabolic cylinder functions

KW - Sine-gordon PIII equation

KW - The third painlevé transcendent (PIII)

KW - Uniform asymptotics

UR - https://www.scopus.com/pages/publications/85117995422

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85117995422&origin=recordpage

U2 - 10.1142/9789814656054_0055

DO - 10.1142/9789814656054_0055

M3 - RGC 12 - Chapter in an edited book (Author)

SN - 9789814656054

SP - 1224

EP - 1243

BT - Selected Works Of Roderick S. C. Wong, The (In 3 Volumes)

PB - World Scientific Publishing Co. Pte Ltd

ER -

On the connection formulas of the third painlevé transcendent

Abstract

Bibliographical note

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this