THE BASIS OF THE MITTAG-LEFFLER FUNCTION
MITTAG-LEFFLER, Gösta.
Sur la représentation analytique d’une branche uniforme d’une fonction monogène.
Stockholm, 1899-1909.
Six parts, 4to; pp. 43-62; 183-204, 1 plate; 205-244, 2 plates; 353-392; 101-182; 285-308; fine copies in their original printed wrappers, ‘offert par l’auteur’ printed on upper covers; in a slipcase.
Added to your basket:
Sur la représentation analytique d’une branche uniforme d’une fonction monogène.
First edition of this important series of papers by Mittag-Leffler, offprints from Acta Mathematica, the international mathematical journal established by him in 1882.
Swedish mathematician Gösta Mittag-Leffler (1846–1927) published this series of six (not five, as sometimes erroneously stated) papers, which he called ‘notes’, on the summation of divergent series, between 1899 and 1909. ‘The aim of these notes was to construct the analytical continuation of a power series outside its circle of convergence. The region in which he was able to do this is now called Mittag-Leffler’s star’ (MacTutor, History of Mathematics).
The Mittag-Leffler star of a complex-analytic function is a set in the complex plane obtained by attempting to extend that function along rays emanating from a given point. ‘The later evolutions of this subject led to its being subsumed under the heading of the theory of summability, where certain infinite matrices are now known as Mittag-Leffler matrices’ (DSB).
