Mubeen, Shahid; Kokologiannaki, Chrysi G.; Rahman, Gauhar; Arshad, Muhammad; Iqbal, Zafar Properties of generalized hypergeometric \(k\)-functions via \(k\)-fractional calculus. (English) Zbl 1373.33011 Far East J. Appl. Math. 96, No. 6, 351-372 (2017). Summary: This paper is devoted to the study of various properties of generalized hypergeometric \(k\)-functions which includes integration, differentiation and Riemann-Liouville type \(k\)-fractional integrals, differential operators and Lebesgue measurable real or complex valued functions. The results obtained are useful in the study of special \(k\)-functions where the generalized hypergeometric \(k\)-functions occur naturally. Cited in 3 Documents MSC: 33C20 Generalized hypergeometric series, \({}_pF_q\) 33E20 Other functions defined by series and integrals 26A33 Fractional derivatives and integrals 26A99 Functions of one variable Keywords:fractional integral; \(k\)-fractional integral; differential operators; generalized hypergeometric function; generalized hypergeometric \(k\)-function PDFBibTeX XMLCite \textit{S. Mubeen} et al., Far East J. Appl. Math. 96, No. 6, 351--372 (2017; Zbl 1373.33011) Full Text: DOI