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In mathematics, '''Sonine's formula''' is any of several formulas involving [[Bessel function]]s found by [[Nikolay Yakovlevich Sonin]].
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One such formula is the following integral formula involving a product of three Bessel functions:
 
:<math>\int_0^\infty J_z(at) J_z(bt)J_z(ct) t^{1-z}\,dt = \frac{2^{z-1}\Delta(a,b,c)^{2z-1}}{\pi^{1/2}\Gamma(z+\tfrac 12)(abc)^z}</math>
 
where Δ is the area of a triangle with given sides.
 
==References==
 
*{{Citation | last1=Stempak | first1=Krzysztof | title=A new proof of Sonine's formula | url=http://dx.doi.org/10.2307/2046994 | doi=10.2307/2046994 | id={{MR|962812}} | year=1988 | journal=[[Proceedings of the American Mathematical Society]] | issn=0002-9939 | volume=104 | issue=2 | pages=453–457}}
 
[[Category:Special hypergeometric functions]]

Latest revision as of 13:25, 5 May 2014

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Try out setting up a veggie pizza that your particular complete family will enjoy. Obviously, they are going to want pepperoni and cheddar cheese, but in addition wear olives, tomato plants, or any other vegetables they will consume. Don't let any individual select their greens away from sometimes!

Even most healthful of eaters will see the benefit within a gratifying treat. For those who have a wholesome delicacy, you can satisfy your craving. Fat free yogurt is a good delicacy and it will be accentuated with a variety of fruits, yummy peanuts or another toppers. In order to love a parfait, crumble a graham cracker on the top of your low fat yogurt.

Be careful of employing abnormal numbers of sea salt. As an example, it is far from truly necessary when you boil h2o for pasta ovum. However water my boil more rapidly if you have sea salt inside, your foods will get more salt in the process. The sea salt is needless, so ignore it and juts hang on a few minutes to get a rolling boil in the water.

Excellent nourishment is essential to maintaining your wellness personally, but it really may benefit your intellectual health as well. Certain nutritional insufficiencies can result in depressive disorders, fatigue or some other emotional health problems. Having a balanced diet not only boosts the body actually but boosts your psychological properly-being as well.

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You can find vitamins, many fruits, greens and natural vitamins that you require using a juice machine. Vegetables are an ideal way to include texture to some juice merge. To add some more flavoring, add more ginger in a combination of carrot apple inc liquid. Veggie fruit juice cocktail is excellent with some jalapeno added.

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