Differential operators on Jacobi forms of half integral weight
- Authors
- Jin, Seokho; Lim, Subong
- Issue Date
- 1-Aug-2024
- Publisher
- Academic Press Inc.
- Keywords
- Differential operator; Jacobi form
- Citation
- Journal of Mathematical Analysis and Applications, v.536, no.1
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Mathematical Analysis and Applications
- Volume
- 536
- Number
- 1
- URI
- https://scholarworks.bwise.kr/skku/handle/2021.sw.skku/110034
- DOI
- 10.1016/j.jmaa.2024.128176
- ISSN
- 0022-247X
1096-0813
- Abstract
- There is an analogy of Bol's result for Jacobi forms of half integral weight by using the heat operator, and it was later extended to harmonic Maass-Jacobi forms. In this paper, we study more about the behavior of harmonic Maass-Jacobi forms under the heat operator. As an application, we obtain an identity between the Fourier coefficients of the images of harmonic Maass-Jacobi forms under the heat operator and those of harmonic skew-Maass-Jacobi forms. © 2024 Elsevier Inc.
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