Convergence of composition sequences of bilinear and other transformations {fn},fn→z
This paper investigates convergence behavior of composition sequences f1∘f2∘…∘fn(z) and fn∘fn−1∘…∘f1(z) where the fn's are bilinear transformations and fn→z. Additional results are provided for the case when the fn's are more general functions.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000318 |
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| _version_ | 1832552908778897408 |
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| author | John Gill |
| author_facet | John Gill |
| author_sort | John Gill |
| collection | DOAJ |
| description | This paper investigates convergence behavior of composition sequences
f1∘f2∘…∘fn(z) and fn∘fn−1∘…∘f1(z) where the fn's are bilinear transformations and fn→z.
Additional results are provided for the case when the fn's are more general functions. |
| format | Article |
| id | doaj-art-4bc72a37f6754dd8a2c09022476093b1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4bc72a37f6754dd8a2c09022476093b12025-02-03T05:57:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120223524210.1155/S0161171297000318Convergence of composition sequences of bilinear and other transformations {fn},fn→zJohn Gill0Mathematics Department, University of Southern Colorado, Pueblo, CO 81001-4901, USAThis paper investigates convergence behavior of composition sequences f1∘f2∘…∘fn(z) and fn∘fn−1∘…∘f1(z) where the fn's are bilinear transformations and fn→z. Additional results are provided for the case when the fn's are more general functions.http://dx.doi.org/10.1155/S0161171297000318bilinear transformationscompositionsfixed pointscontinued fractions. |
| spellingShingle | John Gill Convergence of composition sequences of bilinear and other transformations {fn},fn→z International Journal of Mathematics and Mathematical Sciences bilinear transformations compositions fixed points continued fractions. |
| title | Convergence of composition sequences of bilinear and other transformations {fn},fn→z |
| title_full | Convergence of composition sequences of bilinear and other transformations {fn},fn→z |
| title_fullStr | Convergence of composition sequences of bilinear and other transformations {fn},fn→z |
| title_full_unstemmed | Convergence of composition sequences of bilinear and other transformations {fn},fn→z |
| title_short | Convergence of composition sequences of bilinear and other transformations {fn},fn→z |
| title_sort | convergence of composition sequences of bilinear and other transformations fn fn z |
| topic | bilinear transformations compositions fixed points continued fractions. |
| url | http://dx.doi.org/10.1155/S0161171297000318 |
| work_keys_str_mv | AT johngill convergenceofcompositionsequencesofbilinearandothertransformationsfnfnz |