Name
Abstract | ||
|---|---|---|
Recently, Srivastava et al. (2011) [2] unified and extended several interesting generalizations of the familiar Hurwitz–Lerch Zeta function Φ(z,s,a) by introducing a Fox–Wright type generalized hypergeometric function in the kernel. For this newly introduced special function, two integral representations of different kinds are investigated here by means of a known result involving a Fox–Wright generalized hypergeometric function kernel, which was given earlier by Srivastava et al. (2011) [2], and by applying some Mathieu (a,λ)-series techniques. Finally, by appealing to each of these two integral representations, two sets of two-sided bounding inequalities are proved, thereby extending and generalizing the recent work by Jankov et al. (2011) [15]. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2011.05.035 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Extended Hurwitz–Lerch Zeta function,Fox–Wright pΨq∗ function,Hypergeometric pFq function,Mathieu (a,λ)-series techniques,Psi (or Digamma) function,Two-sided bounding inequalities | Kernel (linear algebra),Lerch zeta function,Hypergeometric distribution,Riemann zeta function,Generalization,Mathematical analysis,Harmonic number,Generalized hypergeometric function,Mathematics,Euler–Mascheroni constant | Journal |
Volume | Issue | ISSN |
62 | 1 | 0898-1221 |
Citations | PageRank | References |
4 | 0.61 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| H.M. Srivastava | 1 | 308 | 76.66 |
| Dragana Jankov | 2 | 4 | 0.95 |
| Tibor Pogány | 3 | 32 | 13.73 |
| R.K. Saxena | 4 | 36 | 11.47 |