On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in Cn
A generalization of the classical Montessus de Ballore theorem in ℂn and some related theorems are discussed. Non-Montessus type of convergence in ℝ2n dimensional Lebesgue measure is presented linking it to a result of Gonĉar.
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000709 |
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| _version_ | 1832548719759720448 |
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| author | C. H. Lutterodt |
| author_facet | C. H. Lutterodt |
| author_sort | C. H. Lutterodt |
| collection | DOAJ |
| description | A generalization of the classical Montessus de Ballore theorem in ℂn and some related theorems are discussed. Non-Montessus type of convergence in ℝ2n dimensional Lebesgue measure is presented linking it to a result of Gonĉar. |
| format | Article |
| id | doaj-art-fb3c80a647264d3c925fd17a6bbed606 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fb3c80a647264d3c925fd17a6bbed6062025-02-03T06:13:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018464165210.1155/S0161171285000709On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in CnC. H. Lutterodt0Department of Mathematics, Howard University, Washington, D.C. 20059, USAA generalization of the classical Montessus de Ballore theorem in ℂn and some related theorems are discussed. Non-Montessus type of convergence in ℝ2n dimensional Lebesgue measure is presented linking it to a result of Gonĉar.http://dx.doi.org/10.1155/S0161171285000709unisolvent rational approximantsmeromorphic functionsMontessus-type convergencenon-Montessus type convergence. |
| spellingShingle | C. H. Lutterodt On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in Cn International Journal of Mathematics and Mathematical Sciences unisolvent rational approximants meromorphic functions Montessus-type convergence non-Montessus type convergence. |
| title | On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in Cn |
| title_full | On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in Cn |
| title_fullStr | On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in Cn |
| title_full_unstemmed | On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in Cn |
| title_short | On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in Cn |
| title_sort | on convergence of μ ν sequences of unisolvent rational approximants to meromorphic functions in cn |
| topic | unisolvent rational approximants meromorphic functions Montessus-type convergence non-Montessus type convergence. |
| url | http://dx.doi.org/10.1155/S0161171285000709 |
| work_keys_str_mv | AT chlutterodt onconvergenceofmnsequencesofunisolventrationalapproximantstomeromorphicfunctionsincn |