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Analytical Solution for Finding the Second Zero of the Ahlfors Map for an Annulus Region
Joint Authors
Murid, Ali H. M.
Muminov, Mukhiddin
Wahid, Nur H. A. A.
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-08-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The Ahlfors map is a conformal mapping function that maps a multiply connected region onto a unit disk.
It can be written in terms of the Szegö kernel and the Garabedian kernel.
In general, a zero of the Ahlfors map can be freely prescribed in a multiply connected region.
The remaining zeros are the zeros of the Szegö kernel.
For an annulus region, it is known that the second zero of the Ahlfors map can be computed analytically based on the series representation of the Szegö kernel.
This paper presents another analytical method for finding the second zero of the Ahlfors map for an annulus region without using the series approach but using a boundary integral equation and knowledge of intersection points.
American Psychological Association (APA)
Wahid, Nur H. A. A.& Murid, Ali H. M.& Muminov, Mukhiddin. 2019. Analytical Solution for Finding the Second Zero of the Ahlfors Map for an Annulus Region. Journal of Mathematics،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1181400
Modern Language Association (MLA)
Wahid, Nur H. A. A.…[et al.]. Analytical Solution for Finding the Second Zero of the Ahlfors Map for an Annulus Region. Journal of Mathematics No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1181400
American Medical Association (AMA)
Wahid, Nur H. A. A.& Murid, Ali H. M.& Muminov, Mukhiddin. Analytical Solution for Finding the Second Zero of the Ahlfors Map for an Annulus Region. Journal of Mathematics. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1181400
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1181400