20.500.12556/DKUM-19211 Funkcija gama The Gamma Function Osrednja tema diplomskega dela je funkcija gama. Definiramo jo z nepravim integralom in dokažemo njene osnovne karakteristike. Dokažemo tudi izrek, ki opisuje pogoje, ki funkcijo gama enolično določajo. Nato še definiramo funkcijo beta in navedemo nekaj osnovnih lastnosti in povezav med funkcijama beta in gama. Na koncu še izpeljemo Stirlingove formule in s pomočjo le-teh dokažemo Wallisovo formulo. The main theme of this graduation thesis is the gamma function. We define it with the improper integral and prove its basic characteristics. We also prove the theorem stating certain conditions that uniquely determine the function gamma. Then we define the beta function, state its main characteristics, and show some connections between the functions beta and gamma. At the end we derive the Stirling's formulas and with the help of these prove the Wallis formula. funkcija gama funkcija beta Stirlingova formula konveksnost nepravi integral Wallisova formula gamma function beta function Stirling's formula convexity improper integral Wallis formula true true false [T. Prešern] Slovenski jezik Angleški jezik Diplomsko delo 2011-06-28 08:57:20 2011-07-18 12:56:39 2022-04-13 15:11:20 2023-12-25 03:12:38 2011 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 18534408 URN:SI:UM:DK:0DAWDSSD UNI_Presern_Tamara_2011.pdf UNI_Presern_Tamara_2011.pdf 1 3B78ED34F25AD98EB48C5EED359D8C83 02453c4b9e42e52e6d628ccf06bbcb7cc9cf54129e7d8a159641392c79070e45 51cd2dba-7c05-11eb-bb7a-00155d0001ca 20.500.12556/dkum/c57061df-27b5-44a9-b75a-f7e0974f1d7c https://dk.um.si/Dokument.php?lang=slv&id=23141 Fakulteta za naravoslovje in matematiko 0 0 0