en>Rjwilmsi: Citation parameter fixes, using AWB (9488)

2013-09-23T11:56:11Z

Citation parameter fixes, using AWB (9488)

← Older revision		Revision as of 13:56, 23 September 2013
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	~~The writer~~'s ~~name is Taneka Zack though she doesn~~'~~t truly like becoming known as like that~~. ~~It's not~~ a ~~typical factor but what he likes doing is to fish but he is struggling to discover time for it~~. ~~My family lives in Louisiana but now I'm contemplating other choices~~.		In mathematics the '''Mott polynomials''' ''s''<sub>''n''</sub>(''x'') are polynomials introduced by {{harvs\|txt\|authorlink=Nevill Francis Mott\|first=N. F. \|last=Mott\|year=1932\|loc=p. 442}} who applied them to a problem in the theory of electrons.
			They are given by the exponential generating function
			:<math> e^{x(\sqrt{1-t^2}-1)/t}=\sum_n s_n(x) t^n/n!.</math>

	~~She is a debt collector but quickly her spouse and her will start their own business. You can usually discover her website here~~: ~~%url~~<br><br>~~Here is my webpage~~ ... [http://~~www~~.~~Yelp~~.com/~~biz/caruso-~~and-~~company~~-pa-~~cpa~~-~~deerfield-beach boca raton wealth management services~~]		The first few of them are {{OEIS\|A137378}}
			:<math>s_0(x)=1;</math>
			:<math>s_1(x)=-\frac{1}{2}x;</math>
			:<math>s_2(x)=\frac{1}{4}x^2;</math>
			:<math>s_3(x)=-\frac{3}{4}x-\frac{1}{8}x^3;</math>
			:<math>s_4(x)=\frac{3}{2}x^2+\frac{1}{16}x^4;</math>
			:<math>s_5(x)=-\frac{15}{2}x-\frac{15}{8}x^3-\frac{1}{32}x^5;</math>
			:<math>s_6(x)=\frac{225}{8}x^2+\frac{15}{8}x^4+\frac{1}{64}x^6;</math>

			The polynomials ''s''<sub>''n''</sub>(''x'') form the associated [[Sheffer sequence]] for –2''t''/(1–t<sup>2</sup>) {{harv\|Roman\|1984\|loc=p.130}}.
			{{harvs\|txt \| last1=Erdélyi \| first1=Arthur \| last2=Magnus \| first2=Wilhelm \| author2-link=Wilhelm Magnus \| last3=Oberhettinger \| first3=Fritz \| last4=Tricomi \| first4=Francesco G. \| title=Higher transcendental functions. Vol. III \| publisher=McGraw-Hill Book Company, Inc., New York-Toronto-London \| mr=0066496 \| year=1955\|loc=p. 251}} give an explicit expression for them in terms of the [[generalized hypergeometric function]] <sub>3</sub>F<sub>0</sub>.

			==References==
			*{{Citation \| last1=Erdélyi \| first1=Arthur \| last2=Magnus \| first2=Wilhelm \| author2-link=Wilhelm Magnus \| last3=Oberhettinger \| first3=Fritz \| last4=Tricomi \| first4=Francesco G. \| title=Higher transcendental functions. Vol. III \| publisher=McGraw-Hill Book Company, Inc., New York-Toronto-London \| mr=0066496 \| year=1955}}
			*{{Citation \| last1=Mott \| first1=N. F. \| title=The Polarisation of Electrons by Double Scattering \| jstor=95868 \| publisher=The Royal Society \| year=1932 \| journal=Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character \| issn=0950-1207 \| volume=135 \| issue=827 \| pages=429–458}}
			*{{Citation \| last1=Roman \| first1=Steven \| title=The umbral calculus \| url=http://books.google.com/books?id=JpHjkhFLfpgC \| publisher=Academic Press Inc. [Harcourt Brace Jovanovich Publishers] \| location=London \| series=Pure and Applied Mathematics \| isbn=978-0-12-594380-2 \| mr=741185 \|id=Reprinted by Dover, 2005 \| year=1984 \| volume=111}}

			[[Category:Polynomials]]

en>JohnCD: globalize

2012-07-08T22:00:22Z

globalize

New page

The writer's name is Taneka Zack though she doesn't truly like becoming known as like that. It's not a typical factor but what he likes doing is to fish but he is struggling to discover time for it. My family lives in Louisiana but now I'm contemplating other choices.

She is a debt collector but quickly her spouse and her will start their own business. You can usually discover her website here: %url<br><br>Here is my webpage ... [http://www.Yelp.com/biz/caruso-and-company-pa-cpa-deerfield-beach boca raton wealth management services]

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en>Rjwilmsi: Citation parameter fixes, using AWB (9488)

en>JohnCD: globalize