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Bessel polinomları
{{More footnotes|date=September 2009}}
[[matematik]]'te,'' 'Bessel polinomları''' olan bir [[orthogonal polynomials|ortogonal]] [[polinom]]'lar dizisidir.Farklı ancak yakından ilişkili tanımları vardır.Matematikçilerin tercih ettiği tanım seri(Krall & Fink, 1948)ile verilir

:<math>y_n(x)=\sum_{k=0}^n\frac{(n+k)!}{(n-k)!k!}\,\left(\frac{x}{2}\right)^k</math>

(contracted; show full)y_3(x) & = 15x^3+ 15x^2+  6x  +  1 \\
y_4(x) & = 105x^4+105x^3+ 45x^2+ 10x  + 1 \\
y_5(x) & = 945x^5+945x^4+420x^3+105x^2+15x+1
\end{align}
</math>

== Kaynakça ==
*{{
cite journalDergi kaynağı
 | last =Carlitz
 | first = Leonard
 | authorlink = Leonard Carlitz
 | coauthors = 
 | year = 1957
 | month = 
 | title = A Note on the Bessel Polynomials
 | journal = Duke Math. J.
 | volume = 24
 | issue = 2
 | pages = 151–162
 | doi = 10.1215/S0012-7094-57-02421-3
 | mr = 0085360
 }}
*{{cite journalDergi kaynağı
 | last = Krall
 | first = H. L.
 | coauthors = Fink, O.
 | year = 1948
 | month = 
 | title = A New Class of Orthogonal Polynomials: The Bessel Polynomials
 | journal = Trans. Amer. Math. Soc.
 | volume =  65
 | issue = 1
 | pages = 100–115
 | doi = 10.2307/1990516
 | jstor = 1990516
 | accessdate = 
 | quotes = 
 }}
*{{cite web
| url = http://www.research.att.com/~njas/sequences
| title = The [[On-Line Encyclopedia of Integer Sequences]]
| accessdate = 2006-08-16
| author =Sloane, N. J. A.
| last = 
| first = 
| coauthors = 
| date = 
| year = 
| month = 
| work = 
| publisher = 
| pages = 
}} (See sequences {{OEIS2C|A001497}}, {{OEIS2C|A001498}}, and {{OEIS2C|A104548}})
*{{cite arXiv
 | last1 =  Dita
 | first1 = P.
 | last2=Grama
 | first2= Grama, N.
 | year = 2006
 | month = May 24
 | title = On Adomian’s Decomposition Method for Solving Differential Equations
 | eprint = solv-int/9705008
 | quotes =
 | class =  solv-int 
 }}
*{{cite journalDergi kaynağı
 | last1 =  Fakhri
 | first1 = H.
 | last2= Chenaghlou
 | first2 =  A.
 | year = 2006
 | month = 
 | title = Ladder operators and recursion relations for the associated Bessel polynomials
 | journal = Physics Letters A
 | volume = 358
 | issue = 5–6
 | pages = 345–353
 | doi = 10.1016/j.physleta.2006.05.070
 | bibcode=2006PhLA..358..345F
 | accessdate = 
 | quotes = 
 }}
*{{cite book
 |last=Grosswald
 |first=E.
 |authorlink=Emil Grosswald
 |coauthors=
 |title=Bessel Polynomials (Lecture Notes in Mathematics)
 |year=1978
 |publisher=Springer
 |location= New York
 |isbn=0-387-09104-1
 }}
*{{cite book
 |last=Roman
 |first=S.
 |coauthors=
 |title=The Umbral Calculus (The Bessel Polynomials &sect;4.1.7)
 |year= 1984
 |publisher=Academic Press
 |location= New York
 |isbn=0-486-44139-3
 }}
*{{cite web
| url = http://www.math.ku.dk/~berg/manus/bessel.pdf
| title = Linearization coefficients of Bessel polynomials and properties of Student-t distributions
| accessdate = 2006-08-16
| author =
| last = Berg
| first = Christian
| coauthors = Vignat, C.
| date = 
| year = 2000
| month = 
| format = PDF
| work = 
| publisher = 
| pages = 
}}

== Dış bağlantılar ==
*{{MathWorld|title=Bessel Polynomial|urlname=BesselPolynomial}}
*{{SloanesRef |sequencenumber=A001498|name=Coefficients of Bessel polynomials }}

[[Category:Orthogonal polynomials]]
[[Category:Special hypergeometric functions]]