摘要:利用广义m阶Euler-Bernoulli多项式,给出了有关广义m阶Euler-Bemoulli多项式的几个重要恒等式.即(1)∑a+b=n Ea(mx/(m+1))·Eb(mx/(m+1))/(a!b!)=2En+1(m)/(mn!)-2(x-m)En(m)(x)/(mn!);(2)∑a+b+c=n Ea(mx/(m+2)·Eb(mx/(m+2))·Ec(mx/(m+2))(a!b!c!)=2En+2(m)(x)/(mn!)-2[2x-(m+2)]En+1(m)(x)/(mn!)+[2(2-m)x2+2(2m2-m-2)x+2(m+m2-m3)]·En(m)(x)/(mn!);(3)∑a+b=n Ea(m)(x)/(a!b!)=2n[Bn+k(m)(x)](k)/(n+k)!;其中n,k为非负整数,m为整数.