Title of article :
A generic formula for the values at the boundary points of monic classical orthogonal polynomials
Author/Authors :
Koepf، نويسنده , , Wolfram and Masjed-Jamei، نويسنده , , Mohammad، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Pages :
8
From page :
98
To page :
105
Abstract :
In a previous paper we have determined a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type σ ( x ) y n ″ ( x ) + τ ( x ) y n ′ ( x ) - λ n y n ( x ) = 0 . In this paper, we give another such formula which enables us to present a generic formula for the values of monic classical orthogonal polynomials at their boundary points of definition.
Keywords :
Differential equation of hypergeometric type , Rodrigues type formula , Hypergeometric functions , Hypergeometric identities , Weight function , Jacobi , Laguerre , Bessel and Hermite polynomials , Pearsonיs distribution
Journal title :
Journal of Computational and Applied Mathematics
Serial Year :
2006
Journal title :
Journal of Computational and Applied Mathematics
Record number :
1553294
Link To Document :
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