A series expansion for generalized harmonic functions
(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:
https://lup.lub.lu.se/record/cb2fca70-4e59-4a34-9c2c-74a3cb65b4ac
- author
- Klintborg, Markus and Olofsson, Anders LU
- organization
- publishing date
- 2021-09
- 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
- 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
- 2022-04-27 02:42:02
@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}}, 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}}, }