کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630665 | 1340604 | 2011 | 6 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On fractional integration formulae for Aleph functions On fractional integration formulae for Aleph functions](/preview/png/4630665.png)
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.
Journal: Applied Mathematics and Computation - Volume 218, Issue 3, 1 October 2011, Pages 985–990