Applications of Liouville’s Identity with an Odd Function
Aeran Kim, Keum Yeon Lee, Hwasin Park
Journal of Advances in Mathematics and Computer Science · pp. 1074–1090 · Published 17 Feb 2014
10.9734/BJMCS/2014/7957Abstract
In this paper, we are based on the Huard, Ou, Spearman and Williams’s generalization of Liouville’s Identity so we obtain and etc. Also, independently we attempt to consider the Liouville’s Identity, therefore as the application of his identity, we have the restricted combinatoric convolution sums as (see Theorem 1.6 and Theorem 1.8) and etc., by dealing with an odd function for m, n ∈ and l ∈ ∪ {0}.
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