 By the change of variables , this becomes the familiar Euler integral.Euler published his results in the paper "De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt" ("On transcendental progressions, that is, those whose general terms cannot be given algebraically"), submitted to the St. Petersburg Academy on November 28, 1729.Euler further discovered some of the gamma function's important functional properties, including the reflection formula.