منابع مشابه
Polynomial Expansions
The expansion of arbitrary power series in various classes of polynomial sets is considered. Some applications are also given. Notations. We will use the following contracted notation for the generalized hypergeometric function •i> •flB P q\bl,...,bQ pFAb, ^ M* z_k where p. « r(o4 k) («iOfc-n fy)*. (*v*s rw* and (°)* / = ! / = ! r(o)
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Submitted for the MAR13 Meeting of The American Physical Society Simulation of stochastic quantum systems using polynomial chaos expansions KEVIN YOUNG, MATTHEW GRACE, Sandia National Laboratories — We present an approach to the simulation of quantum systems driven by classical stochastic processes that is based on the polynomial chaos expansion, a well-known technique in the field of uncertain...
متن کاملParry Expansions of Polynomial Sequences
We prove that the sum-of-digits function with respect to certain digital expansions (which are related to linear recurrences) and similarly defined functions evaluated on polynomial sequences of positive integers or primes satisfy a central limit theorem. These digital expansions are special cases of numeration systems associated to primitive substitutions on finite alphabets, the digits of whi...
متن کاملExpansions in the Polynomial Ring
Astract We show here that some simple combinatorial facts concerning arrangements of pebbles on an n×n board have surprising consequences in the study of expansions in the polynomial ring Q[x 1 , x 2 ,. .. , x n ]. In particular in this manner we obtain a purely combinatorial proof of an identity of Lascoux-Schutzenberger given in Funkt. Anal 21 (1987) 77-78.
متن کاملOn simultaneous digital expansions of polynomial values
Let sq denote the q-ary sum-of-digits function and let P1(X), P2(X) ∈ Z[X] with P1(N), P2(N) ⊂ N be polynomials of degree h, l ≥ 1, h 6= l, respectively. In this note we show that (sq(P1(n))/sq(P2(n)))n≥1 is dense in R. This extends work by Stolarsky (1978) and Hare, Laishram and Stoll (2011).
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1975
ISSN: 0025-5718
DOI: 10.2307/2005302