Results 81 to 90 of about 824 (164)

On uniqueness polynomials for meromorphic functions [PDF]

open access: yesNagoya Mathematical Journal, 2003
AbstractA polynomialP(w)is called a uniqueness polynomial (or a uiqueness polynomial in a broad sense) ifP(f) = cP(g)(orP(f) = P(g))impliesf=gfor any nonzero constantcand nonconstant meromorphic functionsfandgonC. We consider a monic polynomialP(w)without multiple zero whose derivative has mutually distinctkzerosejwith multiplicitiesqj.Under the ...
openaire   +3 more sources

Meromorphic mappings of torus onto the Riemann sphere

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
The meromorphic mappings of the two dimensional torus onto the Riemann sphere are studied. Their connections with loxodromic meromorphic functions in the punctured plane are considered.
A. Ya. Khrystiyanyn, A. A. Kondratyuk
doaj   +1 more source

Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts

open access: yesOpen Mathematics, 2019
In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
doaj   +1 more source

Algebraic values of meromorphic functions—II

open access: yesTopology, 1965
AbstractWe continue the study of the possible distributions of numbers at which certain meromorphic functions take on algebraic values. In particular, a 1-parameter subgroup of a linear group or an abelian variety which contains sufficiently many algebraic points must itself be an algebraic subgroup.
openaire   +2 more sources

Meromorphic mappings of torus onto the Riemann sphere

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2012
The meromorphic mappings of the two dimensional torus onto the Riemann sphere are studied. Their connections with loxodromic meromorphic functions in the punctured plane are considered.
Khrystiyanyn A.Ya., Kondratyuk A.A.
doaj   +2 more sources

Unicity Results Concerning of difference monomials of L-function and a meromorphic function

open access: yesRatio Mathematica
In this paper, we study the value distribution of $\mathcal{L}$-function in the extend Selberg class and a non-constant transcendental meromorphic $\mathsf{f}$ function with finitely many zeros of finite order, sharing a polynomial with its difference ...
Harina Waghamore P, Roopa M.
doaj   +1 more source

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