Mittag-Leffler and Gamma function

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    serious extension (containing over 220 pages) and restructuring of "The Mittag-Leffler function, TUD report 20200528"


      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. Gauss's product
    12. The Digamma function
    13. Binet's function
    14. Asymptotic behavior of the Gamma function
    15. Hankel's integral
    16. The entire incomplete Gamma function
    17. The Beta function
    • Apendices
    • Bibliography
    • Index