On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series. (23rd August 2021)
- Record Type:
- Journal Article
- Title:
- On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series. (23rd August 2021)
- Main Title:
- On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series
- Authors:
- Park, Jong-Do
- Other Names:
- Lu Guozhen Academic Editor.
- Abstract:
- Abstract : In this paper, we compute the reproducing kernel B m, α z, w for the generalized Fock space F m, α 2 ℂ . The usual Fock space is the case when m = 2 . We express the reproducing kernel in terms of a suitable hypergeometric series 1 F q . In particular, we show that there is a close connection between B 4, α z, w and the error function. We also obtain the closed forms of B m, α z, w when m = 1, 2 / 3, 1 / 2 . Finally, we also prove that B m, α z, z ~ e α z m z m − 2 as ∣ z ∣ ⟶ ∞ .
- Is Part Of:
- Journal of function spaces. Volume 2021(2021)
- Journal:
- Journal of function spaces
- Issue:
- Volume 2021(2021)
- Issue Display:
- Volume 2021, Issue 2021 (2021)
- Year:
- 2021
- Volume:
- 2021
- Issue:
- 2021
- Issue Sort Value:
- 2021-2021-2021-0000
- Page Start:
- Page End:
- Publication Date:
- 2021-08-23
- Subjects:
- Function spaces -- Periodicals
515.7305 - Journal URLs:
- https://www.hindawi.com/journals/jfs/ ↗
- DOI:
- 10.1155/2021/1365674 ↗
- Languages:
- English
- ISSNs:
- 2314-8896
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 18652.xml