Pregled bibliografske jedinice broj: 1033266
Generalization of the Quotient Mean Series
Generalization of the Quotient Mean Series // Results in mathematics, 74 (2019), 3; UNSP 89, 12 doi:10.1007/s00025-019-1008-9 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1033266 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalization of the Quotient Mean Series
Autori
Draščić Ban, Biserka
Izvornik
Results in mathematics (1422-6383) 74
(2019), 3;
UNSP 89, 12
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Quotient mean Mathieu series ; Dirichlet-series ; Mathieu series ; means ; gamma function ; Euler-Maclaurin summation formula
Sažetak
In this paper a new family of generalized Mathieu series, called Quotient mean Matheu series is introduced. Namely, some generalized Mathieu series, like Mathieu (alpha, lambda)- series, Mathieu a-series and their alternating variants are represented in terms of Quotient mean Mathieu series. By using the Laplace integral formulas and Euler-MacLaurin summation formula for Dirichlet series, some new integral representations are given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
