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Pregled bibliografske jedinice broj: 296067

Convergence of generalized Kapteyn expansion

Poganj, Tibor
Convergence of generalized Kapteyn expansion // Applied Mathematics and Computation, 190 (2007), 2; 1844-1847 (međunarodna recenzija, članak, znanstveni)

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Naslov
Convergence of generalized Kapteyn expansion

Autori
Poganj, Tibor

Izvornik
Applied Mathematics and Computation (0096-3003) 190 (2007), 2; 1844-1847

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

Ključne riječi
Bessel function of first kind $J_\nu(x)$; Hypergeometric function; Kapteyn series; Landau bounds for $J_\nu(x)$; Olenko's bound for $J_\nu(x)$.

Sažetak
Series expansions of Kapteyn type in terms of Gamma function and a generalization of Bessel function of first kind were considered by Exton. Here we show that the convergence conditions given by him can be relaxed and the achieved results are optimal.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
112-2352818-2814 - Redovi uzorkovanja, Mathieuovi redovi i specijalne funkcije

Ustanove:
Pomorski fakultet, Rijeka

Profili:

Avatar Url Tibor Poganj (autor)

www.sciencedirect.com

Citiraj ovu publikaciju:

Poganj, Tibor
Convergence of generalized Kapteyn expansion // Applied Mathematics and Computation, 190 (2007), 2; 1844-1847 (međunarodna recenzija, članak, znanstveni)
Poganj, T. (2007) Convergence of generalized Kapteyn expansion. Applied Mathematics and Computation, 190 (2), 1844-1847.
@article{article, author = {Poganj, Tibor}, year = {2007}, pages = {1844-1847}, keywords = {Bessel function of first kind $J\_\nu(x)$, Hypergeometric function, Kapteyn series, Landau bounds for $J\_\nu(x)$, Olenko's bound for $J\_\nu(x)$.}, journal = {Applied Mathematics and Computation}, volume = {190}, number = {2}, issn = {0096-3003}, title = {Convergence of generalized Kapteyn expansion}, keyword = {Bessel function of first kind $J\_\nu(x)$, Hypergeometric function, Kapteyn series, Landau bounds for $J\_\nu(x)$, Olenko's bound for $J\_\nu(x)$.} }
@article{article, author = {Poganj, Tibor}, year = {2007}, pages = {1844-1847}, keywords = {Bessel function of first kind $J\_\nu(x)$, Hypergeometric function, Kapteyn series, Landau bounds for $J\_\nu(x)$, Olenko's bound for $J\_\nu(x)$.}, journal = {Applied Mathematics and Computation}, volume = {190}, number = {2}, issn = {0096-3003}, title = {Convergence of generalized Kapteyn expansion}, keyword = {Bessel function of first kind $J\_\nu(x)$, Hypergeometric function, Kapteyn series, Landau bounds for $J\_\nu(x)$, Olenko's bound for $J\_\nu(x)$.} }

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::


  • Mathematical Reviews
  • Zentralblatt fur Mathematik
  • MathSciNet

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