Pregled bibliografske jedinice broj: 267467
Integral expression of Mathieu - type series whose terms contain Fox's $H$ - function
Integral expression of Mathieu - type series whose terms contain Fox's $H$ - function // Applied Mathematics Letters, 20 (2007), 7; 764-769 (međunarodna recenzija, članak, znanstveni)
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Naslov
Integral expression of Mathieu - type series whose terms contain Fox's $H$ - function
Autori
Poganj, Tibor
Izvornik
Applied Mathematics Letters (0893-9659) 20
(2007), 7;
764-769
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Dirichlet series; Fox's $H$ function; Fox--Wright $\Psi$ function; hypergeometric $\; _pF_q$ function; integral representation of series; Laplace integral representation of Dirichlet series; Mathieu--type $\mathbf a$--series
Sažetak
Closed integral form expressions are derived for the Mathieu--type $\mathbf a$--series and for the associated alternating series whose terms contain Fox's $H$--function. In the final section, two similar results on Mathieu''tzpe series with Fox--Wright Psi--function $\, _p\Psi_q$ and the generalized hypergeometric function $\, _pF_q$ which can be expressed in terms of the Fox's $H$--functions are deduced respectively.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
112-2352818-2814 - Redovi uzorkovanja, Mathieuovi redovi i specijalne funkcije
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::
- Mathematical Reviews
- Znetralblatt fur Mathematik
