Difference between revisions of "Bessel polynomial"

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=Properties=
 
=Properties=
{{:Bessel polynomial generalized hypergeometric}}
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[[Bessel polynomial generalized hypergeometric]]<br />
{{:Bessel polynomial in terms of Bessel functions}}
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[[Bessel polynomial in terms of Bessel functions]]<br />
{{:Bessel at n+1/2 in terms of Bessel polynomial}}
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[[Bessel at n+1/2 in terms of Bessel polynomial]]<br />
{{:Bessel at -n-1/2 in terms of Bessel polynomial}}
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[[Bessel at -n-1/2 in terms of Bessel polynomial]]<br />
  
 
{{:Orthogonal polynomials footer}}
 
{{:Orthogonal polynomials footer}}
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[[Category:SpecialFunction]]

Latest revision as of 20:10, 9 June 2016

The Bessel polynomials are orthogonal polynomials defined by $$y_n(x) = \displaystyle\sum_{k=0}^n \dfrac{(n+k)!}{(n-k)!k!} \left( \dfrac{x}{2} \right)^k.$$

Properties

Bessel polynomial generalized hypergeometric
Bessel polynomial in terms of Bessel functions
Bessel at n+1/2 in terms of Bessel polynomial
Bessel at -n-1/2 in terms of Bessel polynomial

Orthogonal polynomials