Pregled bibliografske jedinice broj: 258985
A linear ODE for the Omega function associated with the Euler function E-alpha(z) and the Bernoulli function B-alpha(z)
A linear ODE for the Omega function associated with the Euler function E-alpha(z) and the Bernoulli function B-alpha(z) // Applied Mathematics Letters, 19 (2006), 10; 1073-1077 (međunarodna recenzija, članak, znanstveni)
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Naslov
A linear ODE for the Omega function associated with the Euler function E-alpha(z) and the Bernoulli function B-alpha(z)
Autori
Butzer, P.L. ; Poganj, Tibor ; Srivastava, H.M.
Izvornik
Applied Mathematics Letters (0893-9659) 19
(2006), 10;
1073-1077
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
alternating Mathieu series; Butzer-Flocke-Hauss complete Omega function; complex-index Bernoulli function; complex index Euler-function; Intergal representation of Mathieu series; Riemann's Zeta; Bessel function of first kind
Sažetak
The authors derive a linear ODE whose particular solution is the Butzer-Flocke-Hauss complete real parameter Omega function $\Omega(w)$, which is associated with the complex-index Bernoulli function $B_\alpha(z)$ and with the complex-index Euler-function $E_\alpha(z)$. This is accomplished here with the aid of an integral representation of the alternating Mathieu series $\widetilde{; ; ; S}; ; ; (w)$. A new integral representation and some two/sided bounding inequalities are also given for the Omega function.
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
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentralblatt fur Mathematik
- CompuMath
