Mittag-Leffler and Gamma function

BookMLGamma

The book is published by Oxford University Press in the Oxford Mathematical Monographs series.


    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. Probability theory and Mittag-Leffler function
  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
  • Apendix A: Characteristic coefficients of a complex function
  • Apendix B: The Laplace transform
  • Bibliography
  • Index