
doi: 10.4418/2016.71.1.2
Summary: The present paper aims at the derivation of fractional calculus formulae for the \(\overline{H}\)-function due to Inayat-Hussain by the application of fractional calculus formulae due to Saigo and Meada involving a general class of polynomial \(S_n^{a,b,\tau}(.)\).
\(S_n^{a,b,\tau}(.)\) polynomial, Saigo fractional calculus, Riemann-Liouville fractional calculus operator, Fractional derivatives and integrals, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Erdelyi-Kober fractional calculus operator, generalized fractional calculus operators, Raizada polynomial, Weyl fractional calculus operator, \(\overline{H}\)-function, Saigo and Meada fractional calculus
\(S_n^{a,b,\tau}(.)\) polynomial, Saigo fractional calculus, Riemann-Liouville fractional calculus operator, Fractional derivatives and integrals, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Erdelyi-Kober fractional calculus operator, generalized fractional calculus operators, Raizada polynomial, Weyl fractional calculus operator, \(\overline{H}\)-function, Saigo and Meada fractional calculus
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