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Pregled bibliografske jedinice broj: 530278

Turán determinants of Bessel functions

Baricz, Arpad; Poganj, Tibor
Turán determinants of Bessel functions // Forum mathematicum, 26 (2014), 1; 295-322 doi:10.1515/FORM.2011.160 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 530278 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Turán determinants of Bessel functions

Autori
Baricz, Arpad ; Poganj, Tibor

Izvornik
Forum mathematicum (0933-7741) 26 (2014), 1; 295-322

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

Ključne riječi
Bessel functions of the first kind; Bessel functions of the second kind; Turán type inequalities; Laguerre type inequalities; Turán and Hankel determinants; Entire functions; Laguerre-P\lya class; Neumann series of Bessel functions of the first kind; Recurrence relations; Integral representations; Bounds.

Sažetak
In this paper our aim is to survey the Turán type inequalities and related problems for the Bessel functions of the first kind. Moreover, we extend the known higher order Turán type inequalities for Bessel functions of the first kind to real parameters and we deduce new closed integral representation formulae for the second kind Neumann type series of Bessel functions of the first kind occurring in the study of Turán determinants of Bessel functions of the first kind. At the end of the paper we prove a Turán type inequality for the Bessel functions of the second kind.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
112-1121722-3314 - Informacijsko-komunikacijske tehnologije u inteligentnim pomorskim sustavima (Tomas, Vinko, MZOS ) ( CroRIS)

Ustanove:
Pomorski fakultet, Rijeka

Profili:

Avatar Url Tibor Poganj (autor)

Poveznice na cjeloviti tekst rada:

doi www.degruyter.com

Citiraj ovu publikaciju:

Baricz, Arpad; Poganj, Tibor
Turán determinants of Bessel functions // Forum mathematicum, 26 (2014), 1; 295-322 doi:10.1515/FORM.2011.160 (međunarodna recenzija, članak, znanstveni)
Baricz, A. & Poganj, T. (2014) Turán determinants of Bessel functions. Forum mathematicum, 26 (1), 295-322 doi:10.1515/FORM.2011.160.
@article{article, author = {Baricz, Arpad and Poganj, Tibor}, year = {2014}, pages = {295-322}, DOI = {10.1515/FORM.2011.160}, keywords = {Bessel functions of the first kind, Bessel functions of the second kind, Tur\'{a}n type inequalities, Laguerre type inequalities, Tur\'{a}n and Hankel determinants, Entire functions, Laguerre-P\lya class, Neumann series of Bessel functions of the first kind, Recurrence relations, Integral representations, Bounds.}, journal = {Forum mathematicum}, doi = {10.1515/FORM.2011.160}, volume = {26}, number = {1}, issn = {0933-7741}, title = {Tur\'{a}n determinants of Bessel functions}, keyword = {Bessel functions of the first kind, Bessel functions of the second kind, Tur\'{a}n type inequalities, Laguerre type inequalities, Tur\'{a}n and Hankel determinants, Entire functions, Laguerre-P\lya class, Neumann series of Bessel functions of the first kind, Recurrence relations, Integral representations, Bounds.} }
@article{article, author = {Baricz, Arpad and Poganj, Tibor}, year = {2014}, pages = {295-322}, DOI = {10.1515/FORM.2011.160}, keywords = {Bessel functions of the first kind, Bessel functions of the second kind, Tur\'{a}n type inequalities, Laguerre type inequalities, Tur\'{a}n and Hankel determinants, Entire functions, Laguerre-P\lya class, Neumann series of Bessel functions of the first kind, Recurrence relations, Integral representations, Bounds.}, journal = {Forum mathematicum}, doi = {10.1515/FORM.2011.160}, volume = {26}, number = {1}, issn = {0933-7741}, title = {Tur\'{a}n determinants of Bessel functions}, keyword = {Bessel functions of the first kind, Bessel functions of the second kind, Tur\'{a}n type inequalities, Laguerre type inequalities, Tur\'{a}n and Hankel determinants, Entire functions, Laguerre-P\lya class, Neumann series of Bessel functions of the first kind, Recurrence relations, Integral representations, Bounds.} }

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::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Referativnij Zhurnal Matematika

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