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Uporaba umbralnega računa pri kombinatoričnem preštevanju : disertacijaRazpet, MarkoPrvo poglavje je posvečeno teoriji formalnih potenčnih vrst, ki so povezane z rodovnimi funkcijami; važnim kombinatoričnim orodjem. Posebej so obravnavani avtomorfizmi in odvajanja na algebri ... formalnih potenčnih vrst. Drugo poglavje se ukvarja z modernim umbralnim računom, kjer imajo osrednjo vlogo Shefferejeva zaporedja polinomov. Teorija se tu dotakne področja specialnih funkcij. Tretje poglavje pokaže, kako lahko z metodami umbralnega računa obravnavamo problem mrežnih poti (brez omejitve in z njo). Z umbralnim računom najdemo potrebne rodovne funkcije in nehote zaidemo v študij deljivosti nekega dvojnega celoštevilskega zaporedja.Type of material - dissertationPublication and manufacture - Ljubljana : [M.Razpet], 1989Language - slovenianCOBISS.SI-ID - 8434944
Author
Razpet, Marko
Other authors
Pisanski, Tomaž
Topics
matematika |
kombinatorika |
umbralni račun |
formalna potenčna vrsta |
odvajanje |
avtomorfizem |
Shefferjevi polinomi |
umbralni operator |
Shefferjev operator |
preštevajoča funkcija |
rodovna funkcija |
preštevanje mrežnih poti |
rekurzivna formula |
deljivost številskih zaporedij |
rekurzivna formula |
disertacije |
mathematics |
combinatorics |
umbral calculus |
formal power series |
derivation |
automorphism |
Sheffer polynomials |
umbral operator |
Sheffer operator |
counting function |
generating function |
lattice path |
counting |
recurrence formula |
divisibility of number arrays |
disertacije
Library | Call number – location, accession no. ... | Copy status |
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National and University Library, Ljubljana | DS II 386712 dislocirano skladišče Leskoškova | available - reading room |
Central Technological Library of the University of Ljubljana | 52047/653 Skladišče IN: 398900413 |
available - outside loan, loan period: 14 days |
FMF, Mathematical Library, Lj. | Skladišče-Jadranska 21 10921/35 |
available - reading room |
Faculty of Education, Lj. | Č II 51(043.2) RAZPET, M. Uporaba | available - reading room |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Razpet, Marko | 03231 |
Pisanski, Tomaž | 01941 |
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