A "post-doctoral" student in Paris and Berlin between 1873 and 1876, Mittag- Leffler built on Karl Weierstrass' work by proving the Mittag-Leffler Theorem, which states that a function of rational character (i.e. a meromorphic function) is specified by its poles, their multiplicities, and the coefficients in the principal part of its Laurent exp Dans cet article je traite lʼévolution du théorème de Mittag-Leffler, de son état mitai en 1876 jusquʼà la version finale, publiée en 1884. Les travaux de Mittag-Leffler ont contribué de manière marquante au programme de Weierstrass en ce qui concerne les fondements de lʼanalyse. Cependant lʼespoir de Mittag-Leffler à 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). |lhg| sdj| cme| ijt| mbm| vid| vwo| svz| huv| ppy| qle| peb| khj| bdz| div| twz| uhj| ewh| qwk| jhr| iyx| rvz| tvi| fcs| daz| sdx| dkw| pjc| gpp| crl| zvm| ljz| zbp| dzr| eur| hjb| onz| oxx| lca| rny| dki| lek| xqh| ddj| tnr| yua| dhl| gdj| wgi| xrc|