Pregled bibliografske jedinice broj: 365094
Some Mathieu-type series associated with the Fox– Wright function
Some Mathieu-type series associated with the Fox– Wright function // Computers & mathematics with applications, 57 (2009), 1; 127-140 doi:10.1016/j.camwa.2008.07.016 (međunarodna recenzija, članak, znanstveni)
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Naslov
Some Mathieu-type series associated with the Fox– Wright function
Autori
Poganj, Tibor ; Srivastava, Hari M.
Izvornik
Computers & mathematics with applications (0898-1221) 57
(2009), 1;
127-140
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Dirichlet series; Exponential inequality; Fox– Wright pΨ q function; Hypergeometric pFq function; Integral representations of series; Mathieu-type series
Sažetak
Closed-form integral expressions are derived here for a family of convergent Mathieu-type series and its alternating variant when their terms contain the Fox– Wright pΨ q function. Some two-sided exponential bounding inequalities are then obtained for a class of Fox– Wright pΨ q functions, thereby generalizing certain results of Luke. Finally, by means of the integral expressions obtained here, a number of two-sided exponential bounding inequalities are given for the aforementioned series.
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::
- INSPEC
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts