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Some results on function \({}_pR_q(\alpha, \beta; z)\) - MaRDI portal

Some results on function \({}_pR_q(\alpha, \beta; z)\) (Q2374223)

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Some results on function \({}_pR_q(\alpha, \beta; z)\)
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    Some results on function \({}_pR_q(\alpha, \beta; z)\) (English)
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    14 December 2016
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    Motivated by earlier investigations, the authors define a new function \(_pR_q(\alpha,\beta;z)\), which is a generalization of the \(K\)-function by \textit{K. Sharma} [``Application of fractional calculus operators to related areas'', Gen. Math. Notes 7, No. 1, 33--40 (2011)], with modified convergence conditions. They establish its connections with other special functions of fractional calculus, as well as its analytic properties, and the contiguous and other relations.
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    Mittag-Leffler function
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    hypergeometric function
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    Wright function
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    entire function
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