×

Properties of generalized hypergeometric \(k\)-functions via \(k\)-fractional calculus. (English) Zbl 1373.33011

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.

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
PDFBibTeX XMLCite
Full Text: DOI