【摘要】 给出了高阶Eu ler数的一种A posto l型(看T.M.A posto l,[Pacific J.M ath.,1(1951),161~167])推广,我们称之为高阶A posto l-Eu ler数,然后推导出它的几个递推公式并给出了它们的一些特殊情况和应用,从而得到了相应的高阶Eu-ler数和经典Eu ler数的新公式.更多还原

【Abstract】 The purpose of this note is to give analogous definitions of Apostol-type(see T.M.Apostol,[Pacific J.Math.,1(1951),161～167]) for the so-called Apostol-Euler numbers and Apostol-Euler numbers of higher order,we obtain several explicit formulas,discuss some special cases and applications which lead to several corresponding new formulas of the Euler numbers and Euler numbers of higher order.更多还原