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Title:Total positivity of Toeplitz matrices of recursive hypersequences
Authors:ID Došlić, Tomislav (Author)
ID Martinjak, Ivica (Author)
ID Škrekovski, Riste (Author)
Files:.pdf RAZ_Doslic_Tomislav_i2019.pdf (254,44 KB)
MD5: 236FD389389CF7C65F6531E83EC496AE
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:ZUP - University of Primorska Press
Keywords:total positivity, totally positive matrix, Toeplitz matrix, Hankel matrix, hyperfibonacci sequence, log-concavity
Year of publishing:2019
Number of pages:str. 125-139
Numbering:Vol. 17, no. 1
PID:20.500.12556/RUP-17634 This link opens in a new window
UDC:512.643
ISSN on article:1855-3966
DOI:10.26493/1855-3974.1526.b8d This link opens in a new window
COBISS.SI-ID:2048603923 This link opens in a new window
Publication date in RUP:03.01.2022
Views:1150
Downloads:31
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Record is a part of a journal

Title:Ars mathematica contemporanea
Publisher:Društvo matematikov, fizikov in astronomov, Društvo matematikov, fizikov in astronomov, Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije
ISSN:1855-3966
COBISS.SI-ID:239049984 This link opens in a new window

Secondary language

Language:Slovenian
Title:Totalna pozitivnost Toeplitzevih matrik rekurzivnih hiperzaporedij
Abstract:Predstavimo nov razred totalno pozitivnih Toeplitzevih matrik, sestavljenih iz nedavno vpeljanih hiperfibonaccijevih števil ▫$r$▫-te generacije. Pokažemo, da so vsa zaporedja ▫$F_n^{(r)}$▫ hiperfibonaccijevih števil ▫$r$▫-te generacije log-konkavna za ▫$r \ge 1$▫ in dovolj velike ▫$n$▫.
Keywords:totalna pozitivnost, totalno pozitivne matrike, Toeplitzova matrika, Hankelova matrika, hiperfibonaccijevo zaporedje, log-konkavnost


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