M
- Ian G. Macdonald: Macdonald polynomial, Macdonald–Kostka polynomial, Macdonald spherical function
- Mahler polynomial
- Maitland function
- Emile Léonard Mathieu: Mathieu function
- F. G. Mehler, student of Dirichlet (Ferdinand): Mehler's formula, Mehler–Fock formula, Mehler–Heine formula, Meier function
- Meijer G-function
- Josef Meixner: Meixner polynomial, Meixner-Pollaczek polynomial
- Mittag-Leffler: Mittag-Leffler polynomials
- Mott polynomial
Read more about this topic: List Of Special Functions And Eponyms