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| 关于广义m阶Euler—Bernoulli多项式的几个重要恒等式 | |
| 摘 要： | 利用广义m阶Euler_Bernoulli多项式 ,给出了有关广义m阶Euler_Bernoulli多项式的几个重要恒等式 .即 ( 1 ) ∑a b=nEa(mx (m 1 ) )·Eb(mx (m 1 ) ) (a b ) =2E(m)n 1(x) (mn ) - 2 (x-m)E(m)n (x) (mn ) ;( 2 ) ∑a b c =nEa(mx (m 2 ) ) ·Eb(mx (m 2 ) ) ·Ec(mx (m 2 ) ) (a b c ) =2E(m)n 2 (x) (mn ) - 2 2x- (m 2 ) ]E(m)n 1(x) (mn ) 2 ( 2 -m)x2 2 ( 2m2 -m - 2 )x 2 (m m2 -m3 ) ]·E(m)n (x) (mn ) ;( 3) ∑a b=nE(m)a (x)B(m)b (x) (a b ) =2 nB(m)n k(x) ](k) (n k) ;其中n ,k为非负整数 ,m为整数 . |
| 关 键 词： | 广义m阶Euler-Bernoulli数 广义m阶Euler-Bernoulli多项式 恒等式 |
Some Identities on the Generalized m-th-order Euler-Bernoul li Polynomials |
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| Abstract: | |
| Keywords: | generalized m_th_order Euler_Bernoulli numbers polynom ials identities |