Abel polynomials

Abel polynomials

The Abel polynomials in mathematics form a polynomial sequence, the "n"th term of which is of the form

:p_n(x)=x(x-an)^{n-1}. ,

The sequence is named after Niels Henrik Abel (1802-1829), the Norwegian mathematician.

This polynomial sequence is of binomial type: conversely, every polynomial sequence of binomial type may be obtained from the Abel sequence in the umbral calculus.

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