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Series representations for generalized harmonic functions in the case of three parameters

Klintborg, Markus LU (2024) In Complex Variables and Elliptic Equations 69(4). p.677-694
Abstract

We present a canonical series expansion for generalized harmonic functions in the open unit disc in the complex plane that generalizes that recently obtained for the class of (Formula presented.) -harmonic functions.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
35J15, Harmonic function, hypergeometric function, poisson kernel, power series, Primary: 31A05, Secondary: 33C05
in
Complex Variables and Elliptic Equations
volume
69
issue
4
pages
18 pages
publisher
Taylor & Francis
external identifiers
  • scopus:85144976168
ISSN
1747-6933
DOI
10.1080/17476933.2022.2159950
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.
id
d7bc3476-4f04-494f-a0cb-e7ddfd1d898d
date added to LUP
2026-05-21 12:45:12
date last changed
2026-05-21 12:45:58
@article{d7bc3476-4f04-494f-a0cb-e7ddfd1d898d,
  abstract     = {{<p>We present a canonical series expansion for generalized harmonic functions in the open unit disc in the complex plane that generalizes that recently obtained for the class of (Formula presented.) -harmonic functions.</p>}},
  author       = {{Klintborg, Markus}},
  issn         = {{1747-6933}},
  keywords     = {{35J15; Harmonic function; hypergeometric function; poisson kernel; power series; Primary: 31A05; Secondary: 33C05}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{677--694}},
  publisher    = {{Taylor & Francis}},
  series       = {{Complex Variables and Elliptic Equations}},
  title        = {{Series representations for generalized harmonic functions in the case of three parameters}},
  url          = {{http://dx.doi.org/10.1080/17476933.2022.2159950}},
  doi          = {{10.1080/17476933.2022.2159950}},
  volume       = {{69}},
  year         = {{2024}},
}