On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series

In this paper, we compute the reproducing kernel Bm,αz,w for the generalized Fock space Fm,α2ℂ. The usual Fock space is the case when m=2. We express the reproducing kernel in terms of a suitable hypergeometric series  1Fq. In particular, we show that there is a close connection between B4,αz,w and...

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Bibliographic Details
Main Author: Jong-Do Park
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/1365674