A multivalued logarithm on time scales
• In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that pre...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Anderson, Douglas R. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021transfer abstract |
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| Systematik: |
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| Übergeordnetes Werk: |
Enthalten in: Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation - Moreira, Zeus S. ELSEVIER, 2021, New York, NY |
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| Übergeordnetes Werk: |
volume:397 ; year:2021 ; day:15 ; month:05 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.amc.2021.125954 |
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| 520 | |a • In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that previous time-scale logarithms did not satisfy. We also make a connection to Cayley dynamic equations on time scales. Finally, we include an entire section of examples on nontrivial time scales illustrating this new logarithm, and demonstrate its accuracy in a numerical comparison with previous definitions. | ||
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10.1016/j.amc.2021.125954 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001292.pica (DE-627)ELV053037308 (ELSEVIER)S0096-3003(21)00002-3 DE-627 ger DE-627 rakwb eng 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Anderson, Douglas R. verfasserin aut A multivalued logarithm on time scales 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier • In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that previous time-scale logarithms did not satisfy. We also make a connection to Cayley dynamic equations on time scales. Finally, we include an entire section of examples on nontrivial time scales illustrating this new logarithm, and demonstrate its accuracy in a numerical comparison with previous definitions. • In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that previous time-scale logarithms did not satisfy. We also make a connection to Cayley dynamic equations on time scales. Finally, we include an entire section of examples on nontrivial time scales illustrating this new logarithm, and demonstrate its accuracy in a numerical comparison with previous definitions. Bohner, Martin oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:397 year:2021 day:15 month:05 pages:0 https://doi.org/10.1016/j.amc.2021.125954 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 397 2021 15 0515 0 |
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10.1016/j.amc.2021.125954 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001292.pica (DE-627)ELV053037308 (ELSEVIER)S0096-3003(21)00002-3 DE-627 ger DE-627 rakwb eng 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Anderson, Douglas R. verfasserin aut A multivalued logarithm on time scales 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier • In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that previous time-scale logarithms did not satisfy. We also make a connection to Cayley dynamic equations on time scales. Finally, we include an entire section of examples on nontrivial time scales illustrating this new logarithm, and demonstrate its accuracy in a numerical comparison with previous definitions. • In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that previous time-scale logarithms did not satisfy. We also make a connection to Cayley dynamic equations on time scales. Finally, we include an entire section of examples on nontrivial time scales illustrating this new logarithm, and demonstrate its accuracy in a numerical comparison with previous definitions. Bohner, Martin oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:397 year:2021 day:15 month:05 pages:0 https://doi.org/10.1016/j.amc.2021.125954 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 397 2021 15 0515 0 |
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10.1016/j.amc.2021.125954 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001292.pica (DE-627)ELV053037308 (ELSEVIER)S0096-3003(21)00002-3 DE-627 ger DE-627 rakwb eng 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Anderson, Douglas R. verfasserin aut A multivalued logarithm on time scales 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier • In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that previous time-scale logarithms did not satisfy. We also make a connection to Cayley dynamic equations on time scales. Finally, we include an entire section of examples on nontrivial time scales illustrating this new logarithm, and demonstrate its accuracy in a numerical comparison with previous definitions. • In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that previous time-scale logarithms did not satisfy. We also make a connection to Cayley dynamic equations on time scales. Finally, we include an entire section of examples on nontrivial time scales illustrating this new logarithm, and demonstrate its accuracy in a numerical comparison with previous definitions. Bohner, Martin oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:397 year:2021 day:15 month:05 pages:0 https://doi.org/10.1016/j.amc.2021.125954 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 397 2021 15 0515 0 |
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10.1016/j.amc.2021.125954 |
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| title_sort |
a multivalued logarithm on time scales |
| title_auth |
A multivalued logarithm on time scales |
| abstract |
• In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that previous time-scale logarithms did not satisfy. We also make a connection to Cayley dynamic equations on time scales. Finally, we include an entire section of examples on nontrivial time scales illustrating this new logarithm, and demonstrate its accuracy in a numerical comparison with previous definitions. |
| abstractGer |
• In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that previous time-scale logarithms did not satisfy. We also make a connection to Cayley dynamic equations on time scales. Finally, we include an entire section of examples on nontrivial time scales illustrating this new logarithm, and demonstrate its accuracy in a numerical comparison with previous definitions. |
| abstract_unstemmed |
• In this paper, we address a long-standing open problem on time scales calculus by presenting a new definition of a multivalued logarithm function for dynamic equations on time scales. This new logarithm satisfies many familiar properties when the time scale is R, the real line, properties that previous time-scale logarithms did not satisfy. We also make a connection to Cayley dynamic equations on time scales. Finally, we include an entire section of examples on nontrivial time scales illustrating this new logarithm, and demonstrate its accuracy in a numerical comparison with previous definitions. |
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| title_short |
A multivalued logarithm on time scales |
| url |
https://doi.org/10.1016/j.amc.2021.125954 |
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| author2 |
Bohner, Martin |
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| doi_str |
10.1016/j.amc.2021.125954 |
| up_date |
2024-07-06T17:50:06.472Z |
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