non-Archimedeandifferential and difference polynomialsunicityIn this paper we discuss the uniqueness problem for differential and difference polynomials of the form ( f nm ( z ) f nd ( qz + c )) ( k ) for meromorphic functions in a non-Archimedean field.doi:10.1134/S2070046617010010An, Vu HoaiHoa, Pham NgocKhoai, Ha H...
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...
Since may be not formally self-adjoint, we extend the definitions of the limit point case and limit circle case in a natural way to formally non-self-adjoint difference expressions. It is shown that is in limit-circle case if and only if is in limit-circle case, and if is in limit ...
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 ...
An intrinsic relation between the Heine-Stieltjes problem and the discrete Bethe Ansatz equations allows one to immediately extend the uniqueness result from the former to the latter. The results have implications for nondegeneracy of polynomial solutions of physical models....
c,λ,α1,α2,p1 and p2 are non-zero constants, α1≠α2. In particular, we show that exponential polynomial solutions satisfying certain conditions must reduce to rather specific forms, which is an improvement of previous results. Key words exponential polynomials / entire solutions / ...
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\...
They can be found by the bisection method using a sequence of the Sturm's polynomials. In the paper on the basis of numerous examples are compared the properties of the spectra of matrices L and A . The method offers of approximate calculating of eigenvalues of the matrix A ....
Includes chapters on continued fractions, orthogonal polynomials and asymptotics Altmetric Keywords difference equation manifold orthogonal polynomials stability stability theory Table of contents (10 chapters) Front Matter Pages i-xxii Download chapterPDF ...
Indeed, for every non-negative integer nJ. Arvesu´A. Soria-LorenteJ. Arvesu´ & A. Soria-Lorente, First order non-homogeneous q-difference equa- tion for Stieltjes function characterizing q-orthogonal polynomials, J. Differ. Equ. Appl., pp. 1-25, 2012....