An application of Mittag-Leffler Lemma to the L.F algebra of C^(∞) N-tempered functions on R^+, volume=13, url=https://sjm.ba/index.php/sjm/article/view/103, DOI=10.5644/SJM.13.1.04, abstractNote= In this note, we show that a C ^(∞) N-tempered function f on R^+ can be extended as a C ^(∞) function f in ]-ρ, +∞[ +Ri (ρ>0) such that D^αz f(z)|_{z=x =0, α =(α_1, α_2)N^2, xR^+. To get this result, we use Mittag-Leffler Lemma. , number=1, journal=Sarajevo Journal of Mathematics, author=Hemdaoui, M., year=2017, month=May, pages=61–70