AN EXAMPLE OF NONSYMMETRIC SEMI-CLASSICAL FORM OF CLASS s = 1; GENERALIZATION OF A CASE OF JACOBI SEQUENCE
نویسنده
چکیده
We give explicitly the recurrence coefficients of a nonsymmetric semi-classical sequence of polynomials of class s = 1. This sequence generalizes the Jacobi polynomial sequence, that is, we give a new orthogonal sequence { P̂ (α,α+1) n (x,μ) } , where μ is an arbitrary parameter with (1−μ) > 0 in such a way that for μ = 0 one has the well-known Jacobi polynomial sequence { P̂ (α,α+1) n (x) } , n≥ 0.
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