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Pregled bibliografske jedinice broj: 1235709

On Neumann series of Macdonald functions


Poganj, Tibor; Laraqi, Najib
On Neumann series of Macdonald functions // Integral transforms and special functions, 34 (2023), 7; 552-561 doi:10.1080/10652469.2022.2157414 (međunarodna recenzija, članak, znanstveni)


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Naslov
On Neumann series of Macdonald functions

Autori
Poganj, Tibor ; Laraqi, Najib

Izvornik
Integral transforms and special functions (1065-2469) 34 (2023), 7; 552-561

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Neumann series ; Macdonald function ; Modified Bessel function of the first kind ; Grünwald-Letnikov fractional derivative ; Integral representation of functional series

Sažetak
The main aim of this article is to establish a closed form expression for the Neumann series built with Macdonald functions which order contains the summation index and the coefficients include the summation index exponentially and factorially. Motivated by this problem which occurs in several problems of physics or electrochemistry such as diffusion phenomena, we derive two integral representations a general Neumann series of this type containing Macdonald functions as building blocks.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Interdisciplinarne prirodne znanosti, Interdisciplinarne tehničke znanosti



POVEZANOST RADA


Projekti:
NadSve-Sveučilište u Rijeci-uniri-pr-prirod-19-16 - Stohastičke metode u matematičkoj analizi (Krizmanić, Danijel, NadSve - UNIRI-plus projekti 2018) ( CroRIS)

Ustanove:
Pomorski fakultet, Rijeka

Profili:

Avatar Url Tibor Poganj (autor)

Poveznice na cjeloviti tekst rada:

doi www.tandfonline.com

Citiraj ovu publikaciju:

Poganj, Tibor; Laraqi, Najib
On Neumann series of Macdonald functions // Integral transforms and special functions, 34 (2023), 7; 552-561 doi:10.1080/10652469.2022.2157414 (međunarodna recenzija, članak, znanstveni)
Poganj, T. & Laraqi, N. (2023) On Neumann series of Macdonald functions. Integral transforms and special functions, 34 (7), 552-561 doi:10.1080/10652469.2022.2157414.
@article{article, author = {Poganj, Tibor and Laraqi, Najib}, year = {2023}, pages = {552-561}, DOI = {10.1080/10652469.2022.2157414}, keywords = {Neumann series, Macdonald function, Modified Bessel function of the first kind, Gr\"{u}nwald-Letnikov fractional derivative, Integral representation of functional series}, journal = {Integral transforms and special functions}, doi = {10.1080/10652469.2022.2157414}, volume = {34}, number = {7}, issn = {1065-2469}, title = {On Neumann series of Macdonald functions}, keyword = {Neumann series, Macdonald function, Modified Bessel function of the first kind, Gr\"{u}nwald-Letnikov fractional derivative, Integral representation of functional series} }
@article{article, author = {Poganj, Tibor and Laraqi, Najib}, year = {2023}, pages = {552-561}, DOI = {10.1080/10652469.2022.2157414}, keywords = {Neumann series, Macdonald function, Modified Bessel function of the first kind, Gr\"{u}nwald-Letnikov fractional derivative, Integral representation of functional series}, journal = {Integral transforms and special functions}, doi = {10.1080/10652469.2022.2157414}, volume = {34}, number = {7}, issn = {1065-2469}, title = {On Neumann series of Macdonald functions}, keyword = {Neumann series, Macdonald function, Modified Bessel function of the first kind, Gr\"{u}nwald-Letnikov fractional derivative, Integral representation of functional series} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


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