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Wright functions of the second kind and Whittaker functions
Fractional Calculus and Applied Analysis ( IF 2.5 ) Pub Date : 2022-05-27 , DOI: 10.1007/s13540-022-00042-2
Francesco Mainardi , Richard B. Paris , Armando Consiglio

In the framework of higher transcendental functions, the Wright functions of the second kind have increased their relevance resulting from their applications in probability theory and, in particular, in fractional diffusion processes. Here, these functions are compared with the well-known Whittaker functions in some special cases of fractional order. In addition, we point out two erroneous representations in the literature.



中文翻译:

第二类 Wright 函数和 Whittaker 函数

在更高超越函数的框架中,第二类 Wright 函数由于它们在概率论中的应用,特别是在分数扩散过程中的应用而增加了它们的相关性。在这里,这些函数在分数阶的一些特殊情况下与著名的 Whittaker 函数进行了比较。此外,我们指出了文献中的两个错误表述。

更新日期:2022-05-31
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