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Mahler Polynomial

المؤلف:  Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G.

المصدر:  Higher Transcendental Functions, Vol. 3. New York: Krieger

الجزء والصفحة:  ...

19-9-2019

1538

Mahler Polynomial

Polynomials  which form the Sheffer sequence for

(1)

where  is the inverse function of , and have generating function

(2)

The first few are

			(3)
			(4)
			(5)
			(6)
			(7)
			(8)

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REFERENCES:

Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G. Higher Transcendental Functions, Vol. 3. New York: Krieger, p. 254, 1981.

Roman, S. The Umbral Calculus. New York: Academic Press, 1984.