【摘要】 定义了一个新的函数类H*λ1,λ2,….,λn。给出了Cauchy核属于此函数类的Cauchy型积分的plemelj公式,推广了经典的plemelj公式,并利用它和插值多项式理论讨论了具有高阶奇异解,即属于H*λ1,λ2,….,λn的函数组的边值问题。更多还原

【Abstract】 The paper defines a new class of function H*λ1,λ2,…,λn,and gives Plemelj Formula of Cauchy integral which means that Cauchy kernel belongs to this function,thereby extending classical Plemelj Formula.With Plemelj Formula and interpolation polynomial,a discussion is given about the system of boundary value problem and singular equation in solutions and the free terms with singularities of high order.Consequently,the classes H* and H* 1 are extended to class H*λ1,λ2,…,λn.更多还原