20.500.12556/DKUM-81038 Besselove funkcije in Hankelova transformacija Bessel functions and Hankel transform Zanima nas obnašanje Besselovih funkcij v okolici izhodišča in njihova raba v vpeljavi Hankelove integralske transformacije. V magistrskem delu obravnavamo povezavo med Besselovimi funkcijami in Besselovimi diferencialnimi enačbami. Prav tako obravnavamo obnašanje Besselove funkcije v okolici izhodišča. Na podlagi tega jih ločimo na Besselove funkcije prve, druge in tretje vrste. Funkcije tretje vrste obravnavamo kot Hankelove funkcije in opišemo njihovo uporabo v Hankelovi integralski transformaciji. Vse pojme na koncu uporabimo pri reševanju fizikalnih primerov, kot so toplotna prevodnost, elektrostatični problem in nihanje krožne membrane. We are interested in the behavior of Bessel functions in the vicinity of the starting point and their use in the introduction of Hankel's integral transformation. In the master's thesis we discuss the connection between Bessel functions and Bessel differential equations. We also consider the behavior of the Bessel function in the vicinity of the starting point, according to which we distinguish them into Bessel functions of the first, second, and third kind. We consider functions of the third kind as Hankel functions and describe their use in the Hankel integral transformation. All of this is ultimately used in solving physical cases such as thermal conductivity, electrostatic problem, and circular membrane oscillation. Besselova funkcija toplotna prevodnost elektrostatični problem Hankelova integralska transformacija Besselova diferencialna enačba nihanje krožne membrane integralska transformacija. Bessel function heat conductivity electrostatic problem Hankel integral transformation Bessel differential equation oscillation of the circular membrane integral transform. true true false [A. Kikl] Slovenski jezik Angleški jezik Magistrsko delo/naloga 2021-12-11 17:47:10 2022-07-12 13:59:41 2022-08-10 00:15:45 0000-00-00 00:00:00 2021 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.5(043.2) 113999363 MAG_Kikl_Anja_2021.pdf MAG_Kikl_Anja_2021.pdf 1 95738E6962B6C3F35209743E01DF604C 0089c8d1656f0a10568a504b4a02f5aa1f478b8e96e6a60ee63a0c4668f89c8b 358b4874-5be5-11ec-acf4-00155d000105 20.500.12556/dkum/b2b10049-1b71-45cf-9180-659f84b0f3ff https://dk.um.si/Dokument.php?lang=slv&id=155791 Fakulteta za naravoslovje in matematiko 0 0 0