An extension of Warnaar’s matrix inversion: An extension of Warnaar's matrix inversion
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| Titel: | An extension of Warnaar’s matrix inversion: An extension of Warnaar's matrix inversion |
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| Autoren: | X. R. Ma |
| Quelle: | Proceedings of the American Mathematical Society. 133:3179-3189 |
| Verlagsinformationen: | American Mathematical Society (AMS), 2005. |
| Publikationsjahr: | 2005 |
| Schlagwörter: | Basic hypergeometric functions, Generalized hypergeometric series, \({}_pF_q\), Basic hypergeometric functions in one variable, \({}_r\phi_s\), Exact enumeration problems, generating functions, Theory of matrix inversion and generalized inverses, 0102 computer and information sciences, 0101 mathematics, Factorials, binomial coefficients, combinatorial functions, 01 natural sciences, Combinatorial identities, bijective combinatorics |
| Beschreibung: | We present a necessary and sufficient condition for two matrices given by two bivariate functions to be inverse to each other with certainty in the cases of Krattenthaler formula and Warnaar’s elliptic matrix inversion. Immediate consequences of our result are some known functions and a constructive approach to derive new matrix inversions from known ones. |
| Publikationsart: | Article Other literature type |
| Dateibeschreibung: | application/xml |
| Sprache: | English |
| ISSN: | 1088-6826 0002-9939 |
| DOI: | 10.1090/s0002-9939-05-07912-8 |
| Zugangs-URL: | https://www.ams.org/proc/2005-133-11/S0002-9939-05-07912-8/S0002-9939-05-07912-8.pdf https://dialnet.unirioja.es/servlet/articulo?codigo=1376714 https://www.ams.org/proc/2005-133-11/S0002-9939-05-07912-8/S0002-9939-05-07912-8.pdf https://www.ams.org/journals/proc/2005-133-11/S0002-9939-05-07912-8/home.html |
| Rights: | URL: https://www.ams.org/publications/copyright-and-permissions |
| Dokumentencode: | edsair.doi.dedup.....e9f3e46313fc58c6f932eea673595481 |
| Datenbank: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstract: | We present a necessary and sufficient condition for two matrices given by two bivariate functions to be inverse to each other with certainty in the cases of Krattenthaler formula and Warnaar’s elliptic matrix inversion. Immediate consequences of our result are some known functions and a constructive approach to derive new matrix inversions from known ones. |
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| ISSN: | 10886826 00029939 |
| DOI: | 10.1090/s0002-9939-05-07912-8 |