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undergraduate thesis
Legendreovi polinomi
2016. urn:nbn:hr:160:851461
Marjanović, Katarina
Josip Juraj Strossmayer University of Osijek
Department of Physics
Division of Experimental Physics
Division Chair of Fundamental Physics

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Marjanović, K. (2016). Legendreovi polinomi (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:160:851461

Marjanović, Katarina. "Legendreovi polinomi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2016. https://urn.nsk.hr/urn:nbn:hr:160:851461

Marjanović, Katarina. "Legendreovi polinomi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2016. https://urn.nsk.hr/urn:nbn:hr:160:851461

Marjanović, K. (2016). 'Legendreovi polinomi', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, accessed 17 March 2023, https://urn.nsk.hr/urn:nbn:hr:160:851461

Marjanović K. Legendreovi polinomi [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics; 2016 [cited 2023 March 17] Available at: https://urn.nsk.hr/urn:nbn:hr:160:851461

K. Marjanović, "Legendreovi polinomi", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:160:851461

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Metadata
TitleLegendreovi polinomi
Title (english)Legendre polynomials
AuthorKatarina Marjanović
MentorZvonko Glumac (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Physics
(Division of Experimental Physics)
(Division Chair of Fundamental Physics)
Osijek
Defense date and country2016-09-21, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
General and Classical Physics
Abstract
Legendreovi polinomi rješenja su Legendreove diferencijalne jednadžbe \left(1-x^{2}\right)P^{n}-2xP^{'}\left(x\right)+\lambda P\left(x\right)=0. Pomoću ove diferencijalne jednadžbe također se može dobiti funkcija izvodnica. Nadalje, ona će nam pomoći u izračunu rekurzivnih relacija. Legendreovi polinomi imaju široku primjenu u mnogim granama fizike. Nalazimo ih u elektrodinamici te u kvantoj mehanici.
Abstract (english)
Legendre polynomials are solution to Legendre differential equation \left(1-x^{2}\right)P^{n}-2xP^{'}\left(x\right)+\lambda P\left(x\right)=0.From Legendre differential equation we can calculate generating function. Further, from generating function we can calculate recurrence formulas. Legendre polynomials are widely used in many branches of physics. They are used in electrodynamics as well as in quantum physics.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:160:851461
Study programmeTitle: Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2016-10-04 06:12:07