| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font

Show document Help

Title:Besselove funkcije in Hankelova transformacija
Authors:ID Kikl, Anja (Author)
ID Jakovac, Marko (Mentor) More about this mentor... New window
Files:.pdf MAG_Kikl_Anja_2021.pdf (2,54 MB)
MD5: 95738E6962B6C3F35209743E01DF604C
PID: 20.500.12556/dkum/b2b10049-1b71-45cf-9180-659f84b0f3ff
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract: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.
Keywords:Besselova funkcija, toplotna prevodnost, elektrostatični problem, Hankelova integralska transformacija, Besselova diferencialna enačba, nihanje krožne membrane, integralska transformacija.
Place of publishing:Maribor
Publisher:[A. Kikl]
Year of publishing:2021
PID:20.500.12556/DKUM-81038 New window
UDC:517.5(043.2)
COBISS.SI-ID:113999363 New window
Publication date in DKUM:12.07.2022
Views:721
Downloads:83
Metadata:XML DC-XML DC-RDF
Categories:FNM
:
Copy citation
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share


Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:11.12.2021

Secondary language

Language:English
Title:Bessel functions and Hankel transform
Abstract: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.
Keywords:Bessel function, heat conductivity, electrostatic problem, Hankel integral transformation, Bessel differential equation, oscillation of the circular membrane, integral transform.


Comments

Leave comment

You must log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica