Mittag-Leffler and Gamma function

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    development of "The Mittag-Leffler function, TUD report 20200528"


      Part I: 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. Mittag-Leffler function in probability theory
    6. Estimates and bounds
    7. Miscellanea
    8. Epilogue

      9. Part II: Gamma function
    9. Introduction
    10. Defining the Gamma function
    11. Gauss's product
    12. Digamma function
    13. Binet's function
    14. Asymptotic behavior of the Gamma function
    15. Hankel's integral
    16. Entire incomplete Gamma function
    17. Beta function
    • Apendices
    • Bibliography
    • Index