A Class of Polynomials
نویسندگان
چکیده
منابع مشابه
Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials
In this study, the Bernoulli polynomials are used to obtain an approximate solution of a class of nonlinear two-dimensional integral equations. To this aim, the operational matrices of integration and the product for Bernoulli polynomials are derived and utilized to reduce the considered problem to a system of nonlinear algebraic equations. Some examples are presented to illustrate the efficien...
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00 (— l)k (1.2) m-Y,}L-rLt**, k=0 r k where t takes on the values 00 t = £ cm_¡xm-' (cj in GF(p»)). j'-o Then \p(t) has the linearity properties (1.3) W + u) m + *(u), Hct) = ok(t), for arbitrary c in GF(pH); further from (1.2) it follows that (1.4) ik(xt) = ^"(t) x^(t). In turn (1.4) implies the general relation (1.5) (l)^(Mt) =«*(*(*)), where M is a polynomial in GF(pn) of degree m in x, and
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1938
ISSN: 0002-9947
DOI: 10.2307/1990037