Its first published proof used the calculus of variations, although a letter to Bessel shows that Gauss was aware of the result 14 years earlier. In an 1883 article, a later mathematician offered a proof that removed the unstated hypothesis that the function's derivative must be continuous; however, the existence and continuity of all derivatives follow from an important corollary. FTP, name this fundamental result of complex analysis, which stat
Its first published proof used the calculus of variations, although a letter to Bessel shows that Gauss was aware of the result 14 years earlier. In an 1883 article, a later mathematician offered a proof that removed the unstated hypothesis that the function's derivative must be continuous; however, the existence and continuity of all derivatives follow from an important corollary. FTP, name this fundamental result of complex analysis, which states that the integral of an analytic function around a closed loop is 0.
Its first published proof used the calculus of variations, although a letter to Bessel shows that Gauss was aware of the result 14 years earlier.
Cauchy-Goursat Theorem or Cauchy's Integral Theorem (do not accept Cauchy's Integral Formula)