Pregled bibliografske jedinice broj: 529012
Integral expressions for Mathieu-type power series and for the Butzer-Flocke-Hauss Ω-function
Integral expressions for Mathieu-type power series and for the Butzer-Flocke-Hauss Ω-function // Fractional Calculus and Applied Analysis, 14 (2011), 4; 623-634 doi:10.2478/s13540-011-0036-2 (međunarodna recenzija, članak, znanstveni)
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Naslov
Integral expressions for Mathieu-type power series and for the Butzer-Flocke-Hauss Ω-function
Autori
Tomovski, Živorad ; Poganj, Tibor
Izvornik
Fractional Calculus and Applied Analysis (1311-0454) 14
(2011), 4;
623-634
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Generalized Mathieu series; Alternating generalized Mathieu series; Fourier sine transform; Bessel function of the first kind; Fox-Wright generalized hypergeometric function; Butzer-Flocke-Hauss (BFH) Omega-function; Confluent hypergeometric function
Sažetak
In this paper several integral representations for the Mathieu type power series \[ S_\mu(r ; x) = \sum_{; ; k=1}; ; ^{; ; \infty}; ; \frac{; ; 2k x^k}; ; {; ; (k^2+r^2)^{; ; \mu +1}; ; }; ; \qquad r\in \mathbb R, |x|\le 1 \] are presented. Also new integral expressions are derived for the Butzer-Flocke-Hauss (BFH) complete Omega function.
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:
Tibor Poganj
(autor)
Citiraj ovu publikaciju:
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
