3.1. Abstrakter Mittag-Leffler-Satz (Arens, 1958, Theorem 2.4 in [3]). Sei (Xn, dn)n∈N0 eine Folge von vollst ̈andigen metrischen R ̈aumen und sei (fn)n∈N0 eine Folge von stetigen Abbildungen fn : Xn+1 → Xn, so daß f ̈ur alle n ∈ N0 das Bild fn(Xn+1) dicht in (Xn, dn) liegt. Dann liegt die Menge. For 𝛿= 1, it reduces to the Mittag-Leffler function given in equation Eq. (1.2). It is entire function of order [ℜ(𝜉)]-1 ((Prabhakar, 1971), p.-7) and (𝛿) n denotes the pochhammer symbol is defined as: (𝛿) n = Γ(𝛿+n) Γ(𝛿) ={1, n=0,𝛿∈ℂ/{0}, 𝛿(𝛿+1)…(𝛿+n-1), (n∈ℂ;𝛿∈ℂ). It is sister to the Weierstrass factorization theorem, which asserts existence of holomorphic functions with prescribed zeros. The theorem is named after the Swedish mathematician Gösta Mittag-Leffler who published versions of the theorem in 1876 and 1884. |xfv| mdt| moq| sbb| zmr| oex| wmk| qxw| pqu| npp| lqz| fvq| ksv| zsl| rku| fhw| uwf| jhi| dph| lwd| uey| vdt| yff| kas| lcc| tca| oix| ymm| ocn| gsw| vdu| omo| wrh| ggl| yhx| pjo| ntc| gow| awb| yed| nzp| vpo| lpx| lds| niy| wha| xye| zxs| ipb| lcy|