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In mathematics, the '''Rogers–Szegő polynomials''' are a family of  [[polynomials orthogonal on the unit circle]] introduced by {{harvs|txt|last=Szegő|authorlink=Gábor Szegő|year=1926}}, who was inspired by the continuous ''q''-Hermite polynomials studied by [[Leonard James Rogers]]. They are given by
:<math>h_n(x;q) = \sum_{k=0}^n\frac{(q;q)_n}{(q;q)_k(q;q)_{n-k}}x^k</math>
where (''q'';''q'')<sub>''n''</sub> is the descending [[q-Pochhammer symbol]].
 
==References==
*{{Citation | last1=Gasper | first1=George | last2=Rahman | first2=Mizan | title=Basic hypergeometric series | publisher=[[Cambridge University Press]] | edition=2nd | series=Encyclopedia of Mathematics and its Applications | isbn=978-0-521-83357-8 | doi=10.2277/0521833574 | id={{MathSciNet | id = 2128719}} | year=2004 | volume=96}}
*{{Citation | last1=Szegő | first1=Gábor | title=Beitrag zur theorie der thetafunktionen | id=Reprinted in his collected papers | year=1926 | journal=Sitz Preuss. Akad. Wiss. Phys. Math. Ki. | volume=XIX | pages=242–252}}
 
{{DEFAULTSORT:Rogers-Szego polynomials}}
[[Category:Orthogonal polynomials]]

Latest revision as of 21:07, 29 June 2014

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Once you have a delicious chocolate craving, go for darkish delicious chocolate. Dark delicious chocolate features flavonoids, which decrease hypertension to normalcy levels. Such vitamin antioxidants work to decrease terrible bad cholesterol and lift very good bad cholesterol. Buying dark chocolates with 70 % cocoa will give you the ultimate advantages. Understand that chocolates nonetheless includes plenty of unhealthy calories, so don't stuff your skin.

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It is not unusual to find out some form of potato on the desk with night time meals. You may not must have carrots with each meal. In the event you would swap the potatoes along with other new veggies, you could save about 100 calorie consumption per day, and you will increase your vitamin supplement ingestion.

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Dietary fiber is vital in reaching a proper way of living in addition to supporting to reduce your chance of obtaining diabetes, being overweight and heart problems. Fibers permits your body to soak up and take away cholesterol levels and fat away from your body prior to they cause hurt. Women's day-to-day fibers absorption ought to be at least 20 grams when men's daily ingestion ought to be 30 grams or higher. The right way to reach the minimum volume of fiber content advised is through a liberal level of fruit, veggie and cereals. Otherwise, you can use over the counter dietary fiber health supplements if required.

Do you possess free, watery stool? Then, you may want to go on a fresh fruit diet program. A fruits diet is not merely scrumptious but gives you a bunch of fiber to have your digestive tract back on track.

A regular multi-best muscle weight gainer supplement will not be a substitute for nutritious meals. At greatest it may complete the gaps in what you eat. It's vital that you get nutrients from food items also. Unless you are stored on a special strategy from a doctor, take only one multivitamin daily. Getting way too many supplements will have a unfavorable influence on the body.

Organic meals could be grown in little spaces. Such things as tomato plants might be nurtured in a hanging compartment, and you could also expand things like lettuce and peppers inside a container back garden, as well.