El-Shahed, Moustafa; Salem, Ahmed \(q\)-analogue of Wright function. (English) Zbl 1152.33312 Abstr. Appl. Anal. 2008, Article ID 962849, 11 p. (2008). Summary: We introduce a \(q\)-analogues of Wright function and its auxiliary functions as Barnes integral representations and series expansion. The relations between \(q\)-analogues of Wright function and some other functions are investigated. Cited in 1 Document MSC: 33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\) 33E12 Mittag-Leffler functions and generalizations PDFBibTeX XMLCite \textit{M. El-Shahed} and \textit{A. Salem}, Abstr. Appl. Anal. 2008, Article ID 962849, 11 p. (2008; Zbl 1152.33312) Full Text: DOI EuDML References: [1] G. E. Andrews, R. Askey, and R. Roy, Special Functions, vol. 71 of Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, UK, 1999. · Zbl 1129.33005 [2] I. Podlubny, Fractional Differential Equations, vol. 198 of Mathematics in Science and Engineering, Academic Press, San Diego, Calif, USA, 1999. · Zbl 1129.33005 [3] G. Gasper and M. Rahman, Basic Hypergeometric Series, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, UK, 2nd edition, 2004. · Zbl 1129.33005 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.