Doubly periodic functions and floquet theorem
Other Title(s)
الدوال مضاعفة الدوران و مبرهنة فلوكت
Joint Authors
Muhammad, Nafya Hamid
Said, Nazaneen Qadir Muhammad
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 25, Issue 2 (31 Dec. 2020), pp.100-106, 7 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2020-12-31
Country of Publication
Oman
No. of Pages
7
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
In complex analysis, an elliptic function is a meromorphic function that is periodic in two directions.
Just as a periodic function of a real variable is defined by its values on an interval, an elliptic function is determined by its values on a fundamental parallelogram, which then repeat in a lattice.
Such a doubly periodic function cannot be holomorphic, as it would then be a bounded entire function, and by Liouville's theorem every such function must be constant.
Historically, elliptic functions were first discovered by Niels Henrik Abel as inverse functions of elliptic integrals, and their theory was improved by Carl Gustav Jacobi; these in turn were studied in connection with the problem of the arc length of an ellipse, whence the name derives.
In this paper, we extend Floquet theorem and another theorem (which is mentioned in [1]) related to it, which are dependent on elliptic functions.
American Psychological Association (APA)
Muhammad, Nafya Hamid& Said, Nazaneen Qadir Muhammad. 2020. Doubly periodic functions and floquet theorem. Sultan Qaboos University Journal for Science،Vol. 25, no. 2, pp.100-106.
https://search.emarefa.net/detail/BIM-1379084
Modern Language Association (MLA)
Muhammad, Nafya Hamid& Said, Nazaneen Qadir Muhammad. Doubly periodic functions and floquet theorem. Sultan Qaboos University Journal for Science Vol. 25, no. 2 (2020), pp.100-106.
https://search.emarefa.net/detail/BIM-1379084
American Medical Association (AMA)
Muhammad, Nafya Hamid& Said, Nazaneen Qadir Muhammad. Doubly periodic functions and floquet theorem. Sultan Qaboos University Journal for Science. 2020. Vol. 25, no. 2, pp.100-106.
https://search.emarefa.net/detail/BIM-1379084
Data Type
Journal Articles
Language
English
Notes
Text in English ; abstracts in English and Arabic.
Record ID
BIM-1379084