SINCE there are many difficulties in finding a single root of a polynomial, it becomes moreand more important for parallel iterations to determine all roots simultaneously. Among theproposed methods, the iterative fam...
Project with authors partially supported by a U.P.G.C. grant, Hong Kong, the Croucher Foundation and Tianyuan Foundation, the NPDF grant and Academia Sinica, respectively.
Let f denote a transcendental entire function. A complex value a is said to be aPicard value of f,iff f(z)-a has at most finitely many zeros.As a result of severalstudies (for instance, Refs. [1-5]) on the questio...
Let K be a basic field of characteristic 0, and fi,i=1,…,r, be polynomials in K(x1,…Xn)Consider the system of algebraic equations which defines an algebraic variety V consisting of zeros of the system in an arbitrar...
In this note we prove Theorem 1 Let A be a transcondental entire function of finite order and of lower order ≤1/2. If f1 and f2 are two linearly independent solutions of the differential
In this letter, we consider the distribution of zeros of the transcendental function fn(λ, e-λγ=det (A1 + B1e-λγ - Iλ). We use the following notations: A(aij)n×m= A1 + B1, B(bij)n×n = -B1A1,