Wright functions of the second kind and Whittaker functions

Francesco Mainardi*, Richard B. Paris, Armando Consiglio

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    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.
    Original languageEnglish
    Number of pages18
    JournalFractional Calculus and Applied Analysis
    Early online date27 May 2022
    DOIs
    Publication statusE-pub ahead of print - 27 May 2022

    Keywords

    • Functional calculus
    • Wright functions
    • Whittaker functions
    • Hypergeometric functions
    • Laplace transform

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