+\\cdots+h_{\\ell}(p_{\\ell}) h_1(p_1)+\\cdots+h_{\\ell}(p_{\\ell}) with p_i p_i prime, where h_i\\in \\mathbb{Z}[x] h_i\\in \\mathbb{Z}[x] lie in in the classes of so-called intersective and \\mathcal{P} \\mathcal{P} -intersective polynomials, ...
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to nonnegative integral powers. For example, x2 - 5x + 6 and 2p3q + y are polynomials. Also called multinomial. Multinomial A mathematical expression ...
We study the problems of uniqueness of difference-differential polynomials of finite-order meromorphic functions sharing a small function (ignoring multiplicities) and obtain some results that extend the results of K. Liu, X. L. Liu, and T. B. Cao.DOI...
On Detecting Solutions of Polynomials Non-linear Difference Equations - Kotsios - 2002 () Citation Context ..., we say that a δ-polynomial B, has a Formal - δ-Linear - Like - Factorization or, simply, an FδL-Factorization, if B = ∑g k=1 ck(wij)δik ǫe ∗ [Lk, ǫe...
One of a series of quantities obtained from a function whose values are known at a series of equally spaced points by repeatedly applying the backward difference operator to these values; used in interpolation and numerical calculation and integration of functions. ...
THE DIFFERENCE CALCULUS GENESIS OF DIFFERENCE EQUATIONS DEFINITIONS DERIVATION OF DIFFERENCE EQUATIONS EXISTENCE AND UNIQUENESS THEOREM OPERATORS 鈭 AND E ELEMENTARY DIFFERENCE OPERATORS FACTORIAL POLYNOMIALS OPERATOR 鈭嗏垝1 AND THE SUM... RE Mickens - 《Crc Press》 被引量: 3发表: 2015年 Stability of...
摘要: We investigate the zero distribution of -shift difference polynomials of meromorphic functions with zero order and obtain some results that extend previous results of K. Liu et al.关键词: Discrete Mathematics and Combinatorics DOI: 10.1155/2013/152069 被引量: 7 ...
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Examplesof Polynomials Example PolynomialExplanation x2+ 2x +5Since all of the variables have integer exponents that are positive this is a polynomial. 5x +1Since all of the variables have integer exponents that are positive this is a polynomial. ...
Value Distribution of Difference Polynomials of Transcendental Entire Functions of Finite Order 郑秀敏,吴顺周 Keywords: 差分多项式, 整函数, 值分布Difference polynomial, Entire function, Value distribution Full-Text Cite this paper Add to My Lib Abstract: 研究了差分多项式$$H(z) = P(f)\sum\...