CAJ | 학술논문

利用发生函数理论结合某些运算技巧，推出了几个广义Apostol-Bernoulli多项式、广义Apostol-Euler多项式之间的关系式。多个参数出现在等式中，非常工整。在关系式中选取适当的参数，就可以得到已有的著名的关于广义Bernoulli多项式、广义Euler多项式之间的关系式，从而深化和推广了对Bernoulli数、Euler数、Bernoulli多项式、Euler多项式的相关研究结果。
이용발생함수이론결합모사운산기교，추출료궤개엄의Apostol-Bernoulli다항식、엄의Apostol-Euler다항식지간적관계식。다개삼수출현재등식중，비상공정。재관계식중선취괄당적삼수，취가이득도이유적저명적관우엄의Bernoulli다항식、엄의Euler다항식지간적관계식，종이심화화추엄료대Bernoulli수、Euler수、Bernoulli다항식、Euler다항식적상관연구결과。
In this paper,using generating function theory with some operation skills,the authors gave the relation formula between the generalized Apostol-Bernoulli polynomials,the generalized Apostol-Euler polynomials. There are a number of parameters in the equation,which are very neat. By selecting the appropriate parameters in the formula,the famous relationship between the generalized Bernoulli polynomials,the generalized Euler polynomial can be obtained,so as to deepen and extend the related research results of Bernoulli number,Euler number,Bernoulli polynomial,Euler polynomial.