无穷乘积(infinite product)是把无穷序列的各项用乘号连结得到的表达式。
本文研究了某些用无穷乘积定义的函数在代数点和超越点上的值的代数无关性。
In the present note the algebraic independence of values of certain functions denned by infinite products at algebraic and transcendental points is given.
推论1常数与无穷小的乘积是无穷小。
Corollary 1 The product of a constant and an infinitesimal is an infinitesimal.
推论1常数与无穷小的乘积是无穷小。
Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.
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