Nörlund polynomials
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11: 24.17 Mathematical Applications
§24.17 Mathematical Applications
… ►See Milne-Thomson (1933), Nörlund (1924), or Jordan (1965). … ►§24.17(iii) Number Theory
►Bernoulli and Euler numbers and polynomials occur in: number theory via (24.4.7), (24.4.8), and other identities involving sums of powers; the Riemann zeta function and -series (§25.15, Apostol (1976), and Ireland and Rosen (1990)); arithmetic of cyclotomic fields and the classical theory of Fermat’s last theorem (Ribenboim (1979) and Washington (1997)); -adic analysis (Koblitz (1984, Chapter 2)).12: 16.8 Differential Equations
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►For details see Smith (1939a, b), and Nørlund (1955).
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►(Note that the generalized hypergeometric functions on the right-hand side are polynomials in .)
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►For details see Nørlund (1955).
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13: Bibliography N
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Orthogonal polynomials.
Mem. Amer. Math. Soc. 18 (213), pp. v+185 pp..
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Hypergeometric functions.
Acta Math. 94, pp. 289–349.
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Mémoire sur les polynomes de Bernoulli.
Acta Math. 43, pp. 121–196 (French).
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Vorlesungen über Differenzenrechnung.
Springer-Verlag, Berlin (German).
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Askey-Wilson polynomials: an affine Hecke algebra approach.
In Laredo Lectures on Orthogonal Polynomials and Special
Functions,
Adv. Theory Spec. Funct. Orthogonal Polynomials, pp. 111–144.
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