Results 101 to 110 of about 4,247 (224)
MEROMORPHIC FUNCTIONS THAT SHARE SOME PAIRS OF SMALL FUNCTIONS [PDF]
, 2009 We discuss possible relations between two meronlorphic functions f and q when they share some pairs of small functions. By utilizing the generalized Nevanlinna's second main theorem for small functions obtained recently, we have been able to show that ...
Yang, Chung-Chun, Li, Ping
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مجلة بغداد للعلومPreviously, many works dealt with the study of the order differential subordination and shortly after that other studies dealt with the order differential subordination in the unit disc.
Suha J. Hammad +2 more
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Borel Directions and Uniqueness of Meromorphic Functions
Abstract and Applied Analysis, 2013 We investigate the relationship between Borel directions and uniqueness of meromorphic functions and obtain some results of meromorphic functions sharing four distinct values IM and one set in an angular domain containing a Borel line.
Keyu Zhang, HongYan Xu, Hongxun Yi
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On uniqueness polynomials for meromorphic functions [PDF]
Nagoya 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 ...
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Interpolation and Divisibility of Meromorphic Matrix Functions [PDF]
, 1996 We construct a meromorphic matrix function with given spectral data in the form of null and pole functions, coupling matrix, and left annihilator at every point in the domain of definition of the function.
Rakowski, M., Rodman, L.
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Meromorphic mappings of torus onto the Riemann sphere
Karpatsʹkì 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
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Vector valued logarithmic residues and the extraction of elementary factors [PDF]
An analysis is presented of the circumstances under which, by the extraction of elementary factors, an analytic Banach algebra valued function can be transformed into one taking invertible values only. Elementary factors are generalizations of the simple
Bart, H., Silbermann, B., Ehrhardt, T.
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On unique range sets of meromorphic functions in $\mathbb{C}^m$ [PDF]
, 2007 summary:By considering a question proposed by F. Gross concerning unique range sets of entire functions in $\mathbb {C}$, we study the unicity of meromorphic functions in $\mathbb {C}^m$ that share three distinct finite sets CM and obtain some results ...
Bai, Xiao-Tian, Han, Qi
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Algebraic values of meromorphic functions—II
Topology, 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.
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Properties of meromorphic functions in unit circle [PDF]
, 1989 Üç bölümden meydana gelen bu çalışmada, bilhassa { z : |z| 0). Where S(r) and L(r) are the mean covering number of image of D and the lenght of the image of the unit circle { z : |z| = 1 } under the mapping meromorphic function f(z) into Riemann sphere ...
Öztürk, Metin
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