C. K. Li, V. Zou, "On defining the product ", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 347591, 13 pages, 2004. https://doi.org/10.1155/S0161171204305193
On defining the product
Let be a fixed infinitely differentiable function defined on having the properties: (i) , (ii) for , and (iii) where and is the constant satisfying (iii). We overcome difficulties arising from computing and express this regular sequence by two mutual recursions and use a Java swing program to evaluate corresponding coefficients. Hence, we are able to imply the distributional product for and with the help of Pizetti's formula and the normalization.
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