poisson kernel
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2021 ◽  
pp. 108443
Author(s):  
Ziqing Yang ◽  
Shoudong Han ◽  
Jun Zhao




2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Markus Klintborg ◽  
Anders Olofsson

AbstractWe 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.



2021 ◽  
Vol 380 ◽  
pp. 107577
Author(s):  
Filippo Bracci ◽  
Alberto Saracco ◽  
Stefano Trapani






2020 ◽  
Vol 36 (5) ◽  
pp. 1289-1308 ◽  
Author(s):  
Lu Chen ◽  
Zhao Liu ◽  
Guozhen Lu ◽  
Chunxia Tao
Keyword(s):  


Author(s):  
Harsh Bhatia ◽  
Robert M. Kirby ◽  
Valerio Pascucci ◽  
Peer-Timo Bremer
Keyword(s):  


Filomat ◽  
2020 ◽  
Vol 34 (2) ◽  
pp. 409-420
Author(s):  
Zhi-Guo Liu

In this paper we use a set of partial differential equations to prove an expansion theorem for multiple complex Hermite polynomials. This expansion theorem allows us to develop a systematic and completely new approach to the complex Hermite polynomials. Using this expansion, we derive the Poisson Kernel, the Nielsen type formula, the addition formula for the complex Hermite polynomials with ease. A multilinear generating function for the complex Hermite polynomials is proved.



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