Results 91 to 100 of about 2,699,992 (220)
On Factorization of Bicomplex Meromorphic Functions [PDF]
. In this paper the factorization theory of meromorphic functions of one complex variable is promoted to bicomplex meromorphic functions. Many results of one complex variable case are seen to hold in bicomplex case, and it is found that there are results
D Rochon, K S Charak
core
Meromorphic functions that share four or three small functions with their difference operators
In this paper, we prove that non-constant meromorphic functions of finite order and their difference operators are identical, if they share four small functions “IM”, or share two small functions and ∞ CM. Our results show that a conjecture posed by Chen–
Huifang Liu, Zhiqiang Mao
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Borel Directions and Uniqueness of Meromorphic Functions
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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Value Distribution of Meromorphic Functions
"Value Distribution of Meromorphic Functions" focuses on functions meromorphic in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the celebrated ...
Zheng, Jianhua, Jianhua Zheng
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A New Class of Meromorphic Multivalent Functions Involving Certain Linear Operator
[[abstract]]Making use of certain extended derivative operator of Ruscheweyh type, we introduce a new class Jp(; ; ) of meromorphic multivalent function in the punctured disk D = fz : z 2 C; 0 < jzj < 1g, and obtain some sucient conditions for the ...
J. K. Prajapat, S. P. Goyal
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Meromorphic mappings of torus onto the Riemann sphere
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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Algebraic values of meromorphic functions—II
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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On the logarithmic derivative of a meromorphic function
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Kondratyuk, A. A., Kshanovskyj, I. P.
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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.
core
Bu çalışmada, homojen diferansiyel polinomlar Nevanlinna kuramına uygulandı ve bu homojen polinomlarla bazı genelleştirmeler verildi.In this paper, we have given the applications of homogeneous differential polynomials to the Nevanlinna’s theory of ...
DÖNMEZ, Ali
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