机构地区: 广东财经大学
出 处: 《数学年刊(A辑)》 2014年第2期145-152,共8页
摘 要: 作者构造一个由两个Dirichlet级数组成的Dirichlet-Hadamard乘积,得到它的(下)q-级和(下)q-型的上界或下界的估计定理,并证明了在一定条件下所得的Dirichlet-Hadamard乘积是完全正规增长的,并把相应结果推广到乘积函数的线性代换中. The present paper concerns with some estimates on the upper and the lower bounds of the (lower) q-order and the (lower) q-type of a new product function defined by two Dirichlet series, named the Dirichlet-Hadamard product. This product is of regular growth or perfectly regular growth, when two constituent Dirichlet series satisfy some special conditions. Finally, we generalize a result to the subject of linear substitution.