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A series expansion for generalized harmonic functions

Klintborg, Markus and Olofsson, Anders LU (2021) In Analysis and Mathematical Physics 11(3).
Abstract

We consider a class of generalized harmonic functions in the open unit disc in the complex plane. Our main results concern a canonical series expansion for such functions. Of particular interest is a certain individual generalized harmonic function which suitably normalized plays the role of an associated Poisson kernel.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Harmonic function, Hypergeometric function, Poisson kernel, Power series
in
Analysis and Mathematical Physics
volume
11
issue
3
article number
122
publisher
Springer Science and Business Media B.V.
external identifiers
  • scopus:85107746855
ISSN
1664-2368
DOI
10.1007/s13324-021-00561-w
language
English
LU publication?
yes
id
cb2fca70-4e59-4a34-9c2c-74a3cb65b4ac
date added to LUP
2021-07-05 17:12:56
date last changed
2025-10-14 11:16:09
@article{cb2fca70-4e59-4a34-9c2c-74a3cb65b4ac,
  abstract     = {{<p>We consider a class of generalized harmonic functions in the open unit disc in the complex plane. Our main results concern a canonical series expansion for such functions. Of particular interest is a certain individual generalized harmonic function which suitably normalized plays the role of an associated Poisson kernel.</p>}},
  author       = {{Klintborg, Markus and Olofsson, Anders}},
  issn         = {{1664-2368}},
  keywords     = {{Harmonic function; Hypergeometric function; Poisson kernel; Power series}},
  language     = {{eng}},
  number       = {{3}},
  publisher    = {{Springer Science and Business Media B.V.}},
  series       = {{Analysis and Mathematical Physics}},
  title        = {{A series expansion for generalized harmonic functions}},
  url          = {{http://dx.doi.org/10.1007/s13324-021-00561-w}},
  doi          = {{10.1007/s13324-021-00561-w}},
  volume       = {{11}},
  year         = {{2021}},
}