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Shift operators on the base \(a(a>0,\neq 1)\) and monomial type functions. (English) Zbl 1252.33006
MSC:
33C20 Generalized hypergeometric series, \({}_pF_q\)
33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)
26A33 Fractional derivatives and integrals
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