Abel polynomials

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The Abel polynomials in mathematics form a polynomial sequence, the nth term of which is of the form

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.

Examples[edit]

For a=1, the polynomials are (sequence A137452 in the OEIS)

For a=2, the polynomials are

References[edit]

External links[edit]