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Some fractional-calculus results involving the generalized Lommel-Wright and related functions - MaRDI portal

Some fractional-calculus results involving the generalized Lommel-Wright and related functions (Q2463915)

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Some fractional-calculus results involving the generalized Lommel-Wright and related functions
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    Some fractional-calculus results involving the generalized Lommel-Wright and related functions (English)
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    6 December 2007
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    Having described known results and terminology in Section~1, the authors proceed to establish three interesting results involving Riemann-Liouville operator \(R^\mu_z\) \((\mu\in C)\), the generalized Lommel-Wright function, the Fox-Wright function \({_p\Psi_q}\) (the generalization of \({_pF_q}(\cdot)\)), and the Weyl fractional integral operator. The remarks in Section~3 are particular interesting.
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    Fox-Wright \(\Psi\)-function
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    Weyl operator
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    Cauchy-Goursat integral formula
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    Bessel function
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    \(G\) and \(H\) functions
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    generalized hypergeometric function
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