In mathematics, the Mehler–Heine formula introduced by Gustav Ferdinand Mehler and Eduard Heine describes the asymptotic behavior of the Legendre polynomials...

introduced the Mehler–Heine formula. Heinrich Eduard Heine was born on 16 March 1821 in Berlin, as the eighth child of banker Karl Heine and his wife Henriette...

He is credited with introducing Mehler's formula; the Mehler–Fock transform; the Mehler–Heine formula; and Mehler functions (conical functions), in...

Heine–Borel theorem Heine–Cantor theorem Heine–Stieltjes polynomials Heine definition of continuity Heine functions Heine's identity Mehler–Heine formula...

transform introduced by Mehler (1881) and rediscovered by Fock (1943) Heine-Mehler formula describes the asymptotic behavior of the Legendre polynomials as...

Mathieu function F. G. Mehler, student of Dirichlet (Ferdinand): Mehler's formula, Mehler–Fock formula, Mehler–Heine formula, Mehler functions Meijer G-function...

polynomials near the points ± 1 {\displaystyle \pm 1} is given by the Mehler–Heine formula lim n → ∞ n − α P n ( α , β ) ( cos ⁡ ( z n ) ) = ( z 2 ) − α J α...