20.500.12556/RUL-139857 Vsote potenc delo diplomskega seminarja Sums of powers of integers V diplomskem delu predstavimo lastnosti vsote potenc in formule za njihov izračun. Najprej vsoto obravnavamo kot polinom spremenljivke n. Potem izpeljemo še formule za izračun vsote s Stirlingovimi števili druge vrste, Bernoullijevimi in Eulerjevimi števili ter za konec še rekurzivno formulo z integrali. In this thesis we describe the characteristics of sums of powers and the formulas for their calculation. Firstly we focus on the sum as a polynomial in variable n. We also derive the formulas for calculating the sums of powers with Stirling numbers of the second kind, with Bernoulli numbers, and with Eulerian numbers. We end with recursive formula based on integration. vsote potenc polinom Eulerjeva števila Bernoullijeva števila Stirlingova števila sums of powers of integers polynomial Eulerian numbers Bernoulli numbers Stirling numbers of the second kind true false false Slovenski jezik Angleški jezik Delo diplomskega seminarja/zaključno seminarsko delo/naloga 2022-09-08 08:15:11 2022-09-08 08:15:13 2024-05-29 12:15:05 0000-00-00 00:00:00 2022 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.1 125616 120846339 5260.pdf 5260.pdf 1 511C1502031365F6B7D3C3C0EA376527 b8064aeb3150254c0f59e8f9ef5653be7ff4f017106d1fbecebaa528047e543d 8bded4d9-2f3d-11ed-92af-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=160493 Fakulteta za matematiko in fiziko 0 0 0