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Pregled bibliografske jedinice broj: 608633

New integral forms of generalized Mathieu series and related applications

Milovanović, Gradimir V.; Poganj, Tibor
New integral forms of generalized Mathieu series and related applications // Applicable Analysis and Discrete Mathematics, 7 (2013), 1; 180-192 doi:10.2298/AADM121227028M (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 608633 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
New integral forms of generalized Mathieu series and related applications

Autori
Milovanović, Gradimir V. ; Poganj, Tibor

Izvornik
Applicable Analysis and Discrete Mathematics (1452-8630) 7 (2013), 1; 180-192

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

Ključne riječi
Mathieu and generalized Mathieu series; Integral representation of series; Bessel function of the first kind; Fredholm integral equation of the first kind; Mellin transform.

Sažetak
The main object of this article is to present a systematic study of integral representations for generalized Mathieu series and its alternating variant, and to derive a new integral expression for these special functions by contour integration using rectangular integration path. Also, by virtue of newly established integral form of generalized Mathieu series, we obtain a new integral expression for the Bessel function of the first kind of half integer order, solving a related Fredholm integral equation of the first kind with nondegenerate kernel.

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.doiserbia.nb.rs

Citiraj ovu publikaciju:

Milovanović, Gradimir V.; Poganj, Tibor
New integral forms of generalized Mathieu series and related applications // Applicable Analysis and Discrete Mathematics, 7 (2013), 1; 180-192 doi:10.2298/AADM121227028M (međunarodna recenzija, članak, znanstveni)
Milovanović, G. & Poganj, T. (2013) New integral forms of generalized Mathieu series and related applications. Applicable Analysis and Discrete Mathematics, 7 (1), 180-192 doi:10.2298/AADM121227028M.
@article{article, author = {Milovanovi\'{c}, Gradimir V. and Poganj, Tibor}, year = {2013}, pages = {180-192}, DOI = {10.2298/AADM121227028M}, keywords = {Mathieu and generalized Mathieu series, Integral representation of series, Bessel function of the first kind, Fredholm integral equation of the first kind, Mellin transform.}, journal = {Applicable Analysis and Discrete Mathematics}, doi = {10.2298/AADM121227028M}, volume = {7}, number = {1}, issn = {1452-8630}, title = {New integral forms of generalized Mathieu series and related applications}, keyword = {Mathieu and generalized Mathieu series, Integral representation of series, Bessel function of the first kind, Fredholm integral equation of the first kind, Mellin transform.} }
@article{article, author = {Milovanovi\'{c}, Gradimir V. and Poganj, Tibor}, year = {2013}, pages = {180-192}, DOI = {10.2298/AADM121227028M}, keywords = {Mathieu and generalized Mathieu series, Integral representation of series, Bessel function of the first kind, Fredholm integral equation of the first kind, Mellin transform.}, journal = {Applicable Analysis and Discrete Mathematics}, doi = {10.2298/AADM121227028M}, volume = {7}, number = {1}, issn = {1452-8630}, title = {New integral forms of generalized Mathieu series and related applications}, keyword = {Mathieu and generalized Mathieu series, Integral representation of series, Bessel function of the first kind, Fredholm integral equation of the first kind, Mellin transform.} }

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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