VALUE DISTRIBUTION OF SOME q-DIFFERENCE POLYNOMIALS

VALUE DISTRIBUTION AND UNIQUENESS OF q-SHIFT DIFFERENCE POLYNOMIALS

In this paper, we deal with the distribution of zeros of q-shift difference polynomials of transcendental entire functions of zero order. At the same time we also investigate the uniqueness problems when two difference products of entire functions share one value with finite weight. The results of the paper improve and generalize some recent results due to Xu, Liu and Cao [Math. Commun. 20 (201...

Some results on value distribution of the difference operator

In this article, we consider the uniqueness of the difference monomials $f^{n}(z)f(z+c)$. Suppose that $f(z)$ and $g(z)$ are transcendental meromorphic functions with finite order and $E_k(1, f^{n}(z)f(z+c))=E_k(1, g^{n}(z)g(z+c))$. Then we prove that if one of the following holds (i) $n geq 14$ and $kgeq 3$, (ii) $n geq 16$ and $k=2$, (iii) $n geq 22$ and $k=1$, then $f(z)equiv t_1g(z)$ or $f(...

some results on value distribution of the difference operator

in this article, we consider the uniqueness of the difference monomials $f^{n}(z)f(z+c)$. suppose that $f(z)$ and $g(z)$ are transcendental meromorphic functions with finite order and $e_k(1, f^{n}(z)f(z+c))=e_k(1, g^{n}(z)g(z+c))$. then we prove that if one of the following holds (i) $n geq 14$ and $kgeq 3$, (ii) $n geq 16$ and $k=2$, (iii) $n geq 22$ and $k=1$, then $f(z)equiv t_1g(z)$ or $f(...

Value Distributions and Uniqueness of Difference Polynomials

On Factorization and Solutions of q-difference Equations Satisfied by some Classes of Orthogonal Polynomials

Equations Satisfied by some Classes of Orthogonal Polynomials M. FOUPOUAGNIGNI*, W. KOEPF and A. RONVEAUX University of Yaounde I, Advanced School of Education, Department of Mathematics. P.O. Box 47 Yaounde, Cameroon; University of Kassel, Department of Mathematics and Computer Science, Heinrich-Plett Str. 40, 34132 Kassel, Germany; Facultés Universitaires Notre Dame de la Paix, B-5000 Namur, ...