Mittag-Leffler and Gamma function

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    • Preprint: book in preparation; the book will be published by OUP in the Oxford Mathematical Monographs series in 2026.


      Part I: The Mittag-Leffler function
    1. Introduction
    2. Deductions from the Taylor series
    3. Integrals containing the Mittag-Leffler function
    4. Integrals representations for the Mittag-Leffler function
    5. The Mittag-Leffler function in probability theory
    6. Estimates and bounds
    7. Miscellanea
    8. Epilogue

      9. Part II: The Gamma function
    9. Introduction
    10. Defining the Gamma function
    11. The Euler-Gauss product
    12. The Digamma function
    13. Binet's function
    14. Asymptotic behavior of the Gamma function
    15. The entire function 1/Gamma(z)
    16. The entire incomplete Gamma function
    17. The Beta function
    • Apendices
    • Bibliography
    • Index