Name
Abstract | ||
|---|---|---|
This paper is devoted to the study of a new special function, which is called, according to the symbol used to represent this function, as an Aleph function. This function is an extension of the I-function, which itself is a generalization of the well-known and familiar G- and H-functions in one variable. In this paper, a notation and complete definition of the Aleph function will be presented. Fractional integration of the Aleph functions, in which the argument of the Aleph function contains a factor tλ(1−t)μ, λ, μ>0, will be investigated. The results derived are of most general character and include many results given earlier by various authors including Kilbas [10], Kilbas and Saigo [11] and Galué [6] and others. The results obtained form the key formulae for the results on various potentially useful special functions of physical and biological sciences and technology available in the literature. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2011.03.026 | Applied Mathematics and Computation |
Keywords | Field | DocType |
H-function,I-function,ℵ-function,Mellin–Barnes type integrals,Riemann–Liouville fractional integral,Mittag–Leffler functions | Notation,Mathematical analysis,Symbol,Special functions,Aleph,Mathematics,Calculus | Journal |
Volume | Issue | ISSN |
218 | 3 | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ram K. Saxena | 1 | 18 | 3.76 |
| Tibor Pogány | 2 | 32 | 13.73 |