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On minimal homothetical hypersurfaces

100%
Jiu L., Sun H.
Colloquium Mathematicum
|
2007
|
tom 109
|
nr 2
239-249
EN
We give a classification of minimal homothetical hypersurfaces in an (n+1)-dimensional Euclidean space. In fact, when n ≥ 3, a minimal homothetical hypersurface is a hyperplane, a quadratic cone, a cylinder on a quadratic cone or a cylinder on a helicoid.
2
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Pochhammer symbol with negative indices. A new rule for the method of brackets

81%
Gonzalez I., Jiu L., Moll V. H.
Open Mathematics
|
2016
|
tom 14
|
nr 1
681-686
EN
The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Bessel function is used to motivate a new evaluation rule.
3
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An extension of the method of brackets. Part 1

81%
Gonzalez I., Kohl K., Jiu L., Moll V. H.
Open Mathematics
|
2017
|
tom 15
|
nr 1
1181-1211
EN
The method of brackets is an efficient method for the evaluation of alarge class of definite integrals on the half-line. It is based on a small collection of rules, some of which are heuristic. The extension discussed here is based on the concepts of null and divergent series. These are formal representations of functions, whose coefficients an have meromorphic representations for n ∈ ℂ, but might vanish or blow up when n ∈ ℕ. These ideas are illustrated with the evaluation of a variety of entries from the classical table of integrals by Gradshteyn and Ryzhik.
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