商洛学院学报
商洛學院學報
상락학원학보
JOURNAL OF SHANGLUO UNIVERSITY
2011年
6期
3-5
,共3页
Apostol－Bernoulli函数%Apostol-Euler函数%第二类Stirling数
Apostol－Bernoulli函數%Apostol-Euler函數%第二類Stirling數
Apostol－Bernoulli함수%Apostol-Euler함수%제이류Stirling수
Apostol-Bemoulii function%Apostol-Euler function%Stifling number of the second kind
Apostol－Bernoulli函数及其推广形式是研究某些特殊函数的基础。在特殊函数理论研究中占有极其重要的地位。研究了高阶Apostol－Bernoulli函数的性质，利用高阶Apostol－BemouUi函数的指数生成函数与高阶Apostol－Euler函数的指数生成函数的关系，给出了Apostol－Bernoulli函数的两个表述式及一个推论。
Apostol－Bernoulli函數及其推廣形式是研究某些特殊函數的基礎。在特殊函數理論研究中佔有極其重要的地位。研究瞭高階Apostol－Bernoulli函數的性質，利用高階Apostol－BemouUi函數的指數生成函數與高階Apostol－Euler函數的指數生成函數的關繫，給齣瞭Apostol－Bernoulli函數的兩箇錶述式及一箇推論。
Apostol－Bernoulli함수급기추엄형식시연구모사특수함수적기출。재특수함수이론연구중점유겁기중요적지위。연구료고계Apostol－Bernoulli함수적성질，이용고계Apostol－BemouUi함수적지수생성함수여고계Apostol－Euler함수적지수생성함수적관계，급출료Apostol－Bernoulli함수적량개표술식급일개추론。
The Apostol-BemouUi. function and its generalization is the base of the studies of some special functions, and play a key role in such studies In this study, the properties of analogue Apostol-BemouUi function were investigated, by the exponential generating functions of Apostol-Bernoulli and Euler functions, two identities on anologue Apostol-Bemoulli function and a corrollary are obtained.
