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Date: 7-8-2019
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Date: 14-8-2019
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Date: 18-6-2019
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Polynomials which form a Sheffer sequence with
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(1) |
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(2) |
and have generating function
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(3) |
The first few are
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(4) |
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(5) |
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(6) |
Jordan (1965) considers the related polynomials which form a Sheffer sequence with
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(7) |
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(8) |
These polynomials have generating function
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(9) |
The first few are
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(10) |
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(11) |
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(12) |
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(13) |
The Peters polynomials are a generalization of the Boole polynomials.
REFERENCES:
Boas, R. P. and Buck, R. C. Polynomial Expansions of Analytic Functions, 2nd print., corr. New York: Academic Press, p. 37, 1964.
Jordan, C. Calculus of Finite Differences, 3rd ed. New York: Chelsea, 1965.
Roman, S. The Umbral Calculus. New York: Academic Press, 1984.
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دراسة: عدم ترتيب الغرفة قد يدل على مشاكل نفسية
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علماء: تغير المناخ تسبب في ارتفاع الحرارة خلال موسم الحج
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جهود مكثفة وطباعة عشرات الآلاف من المنشورات .. استعدادات العتبة العلوية المقدسة لعيد الغدير الأغر
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