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Peters Polynomial

المؤلف:  Boas, R. P. and Buck, R. C.

المصدر:  Polynomial Expansions of Analytic Functions, 2nd print., corr. New York: Academic Press

الجزء والصفحة:  ...

22-9-2019

2208

Peters Polynomial

Polynomials  which are a generalization of the Boole polynomials, form the Sheffer sequence for

			(1)
			(2)

and have generating function

(3)

The first few are

			(4)
			(5)

and

(6)

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REFERENCES:

Boas, R. P. and Buck, R. C. Polynomial Expansions of Analytic Functions, 2nd print., corr. New York: Academic Press, p. 37, 1964.

Roman, S. "The Peters Polynomial." §4.6 in The Umbral Calculus. New York: Academic Press, p. 128, 1984.

Rota, G.-C.; Kahaner, D.; Odlyzko, A. "On the Foundations of Combinatorial Theory. VIII: Finite Operator Calculus." J. Math. Anal. Appl. 42, 684-760, 1973.