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Pregled bibliografske jedinice broj: 522716

Integral representations for Neumann-type series of Bessel functions $I_\nu, $ $Y_\nu$ and $K_\nu$

Baricz, Arpad; Jankov, Dragana; Poganj, Tibor
Integral representations for Neumann-type series of Bessel functions $I_\nu, $ $Y_\nu$ and $K_\nu$ // Proceedings of the American Mathematical Society, 140 (2012), 3; 951-960 doi:10.1090/S0002-9939-2011-11402-3 (međunarodna recenzija, članak, znanstveni)

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Naslov
Integral representations for Neumann-type series of Bessel functions $I_\nu, $ $Y_\nu$ and $K_\nu$

Autori
Baricz, Arpad ; Jankov, Dragana ; Poganj, Tibor

Izvornik
Proceedings of the American Mathematical Society (0002-9939) 140 (2012), 3; 951-960

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

Ključne riječi
Bessel and modified Bessel functions of the first and the second kind; Neumann series of Bessel and modified Bessel functions of first and second kind

Sažetak
Recently Pog\'any and S\"uli [Proc. Amer. Math. Soc. 137(7)(2009), 2363-2368] derived a closed-form integral expression for Neumann series of Bessel functions of the first kind $J_\nu$. In this note our aim is to establish analogous integral representations for the Neumann-type series of modified Bessel functions of the first kind $I_\nu$, for Bessel functions of the second kind $Y_\nu, K_\nu$ and to give links for the same question for the Hankel functions $H_\nu^(1) ; H_\nu^(2)$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
112-1121722-3314 - Informacijsko-komunikacijske tehnologije u inteligentnim pomorskim sustavima (Tomas, Vinko, MZOS ) ( CroRIS)
235-2352818-1039 - Statistički aspekti problema procjene u nelinearnim parametarskim modelima (Benšić, Mirta, MZOS ) ( CroRIS)

Ustanove:
Pomorski fakultet, Rijeka,
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Tibor Poganj (autor)

Avatar Url Dragana Jankov Maširević (autor)

Poveznice na cjeloviti tekst rada:

doi dx.doi.org www.ams.org

Citiraj ovu publikaciju:

Baricz, Arpad; Jankov, Dragana; Poganj, Tibor
Integral representations for Neumann-type series of Bessel functions $I_\nu, $ $Y_\nu$ and $K_\nu$ // Proceedings of the American Mathematical Society, 140 (2012), 3; 951-960 doi:10.1090/S0002-9939-2011-11402-3 (međunarodna recenzija, članak, znanstveni)
Baricz, A., Jankov, D. & Poganj, T. (2012) Integral representations for Neumann-type series of Bessel functions $I_\nu, $ $Y_\nu$ and $K_\nu$. Proceedings of the American Mathematical Society, 140 (3), 951-960 doi:10.1090/S0002-9939-2011-11402-3.
@article{article, author = {Baricz, Arpad and Jankov, Dragana and Poganj, Tibor}, year = {2012}, pages = {951-960}, DOI = {10.1090/S0002-9939-2011-11402-3}, keywords = {Bessel and modified Bessel functions of the first and the second kind, Neumann series of Bessel and modified Bessel functions of first and second kind}, journal = {Proceedings of the American Mathematical Society}, doi = {10.1090/S0002-9939-2011-11402-3}, volume = {140}, number = {3}, issn = {0002-9939}, title = {Integral representations for Neumann-type series of Bessel functions $I\_\nu, $ $Y\_\nu$ and $K\_\nu$}, keyword = {Bessel and modified Bessel functions of the first and the second kind, Neumann series of Bessel and modified Bessel functions of first and second kind} }
@article{article, author = {Baricz, Arpad and Jankov, Dragana and Poganj, Tibor}, year = {2012}, pages = {951-960}, DOI = {10.1090/S0002-9939-2011-11402-3}, keywords = {Bessel and modified Bessel functions of the first and the second kind, Neumann series of Bessel and modified Bessel functions of first and second kind}, journal = {Proceedings of the American Mathematical Society}, doi = {10.1090/S0002-9939-2011-11402-3}, volume = {140}, number = {3}, issn = {0002-9939}, title = {Integral representations for Neumann-type series of Bessel functions $I\_\nu, $ $Y\_\nu$ and $K\_\nu$}, keyword = {Bessel and modified Bessel functions of the first and the second kind, Neumann series of Bessel and modified Bessel functions of first and second kind} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • 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::


  • Compu-Math Citation Index
  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Referativnij Zhurnal Matematika

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