Name
Title | ||
|---|---|---|
A linear ODE for the Omega function associated with the Euler function Eα(z) and the Bernoulli function Bα(z) |
Abstract | ||
|---|---|---|
The authors derive a linear ODE (ordinary differential equation) whose particular solution is the Butzer–Flocke–Hauss complete real-parameter Omega function Ω(w), which is associated with the complex-index Bernoulli function Bα(z) and with the complex-index Euler function Eα(z). This is accomplished here with the aid of an integral representation of the alternating Mathieu series S˜(w). A new integral representation and some two-sided bounding inequalities are also given for the Omega function. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.aml.2005.11.020 | Applied Mathematics Letters |
Keywords | Field | DocType |
Alternating Mathieu series,Butzer–Flocke–Hauss complete Omega function,Complex-index Bernoulli function,Complex-index Euler function,Integral representations of alternating Mathieu series,Integral representation of the Omega function,Dirichlet’s Eta function,Riemann’s Zeta function,Bessel function | Differential equation,Riemann zeta function,Ordinary differential equation,Mathematical analysis,Linear differential equation,Euler function,Wright Omega function,Mathematics,Mittag-Leffler function,Bessel function | Journal |
Volume | Issue | ISSN |
19 | 10 | 0893-9659 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| P.L. Butzer | 1 | 1 | 0.71 |
| Tibor Pogány | 2 | 32 | 13.73 |
| H.M. Srivastava | 3 | 308 | 76.66 |