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- W4311845079 abstract "Two families of Le Roy-type functions are considered in this paper, respectively with 3 and 4 indices. In the case with 4 indices, these special functions called to be as Prabhakar analogues, are proved to be entire functions and their order and type are determined. Some Mellin–Barnes-type contour integral representations as well as the Mellin transforms are derived. It is also established that the nth derivatives of the 3-parametric Le Roy-type functions are Le Roy-type functions with 4 indices (of Prabhakar type). This result is further used for representing the 3-index function in a Taylor series. Analogical relations for the integrals and derivatives of fractional orders are also obtained. Finally, some interesting particular cases of the discussed special functions are considered." @default.
- W4311845079 created "2023-01-01" @default.
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- W4311845079 date "2022-12-07" @default.
- W4311845079 modified "2023-10-02" @default.
- W4311845079 title "Prabhakar function of Le Roy type: a set of results in the complex plane" @default.
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- W4311845079 doi "https://doi.org/10.1007/s13540-022-00116-1" @default.
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