The Gamma Function Without Infinite Products
نویسندگان
چکیده
منابع مشابه
On gamma quotients and infinite products
Convergent infinite products, indexed by all natural numbers, in which each factor is a rational function of the index, can always be evaluated in terms of finite products of gamma functions. This goes back to Euler. A purpose of this note is to demonstrate the usefulness of this fact through a number of diverse applications involving multiplicative partitions, entries in Ramanujan’s notebooks,...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1965
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500008919