Results 51 to 60 of about 998,953 (172)
Representation of logarithm of entire function in several complex variables
Karpatsʹkì Matematičnì Publìkacìï, 2012 The integral representation of some branch of an entire on $\mathbb{C}^n$ function which generalized the Poisson-Jensen-Stoll Formula is obtained.
Brodyak, O. Ya., Vasyl'kiv, Ya. V.
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Dynamic habitat modelling for water-dependent species in the Murray-Darling Basin
Ecological IndicatorsImproved knowledge of how habitat for water-dependent species is changing over space and time across entire river catchments is important in developing indicators for tracking changes and quantifying the effectiveness of environmentally-targeted water ...
Karel Mokany +10 more
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Demonstratio MathematicaThis article focuses on describing the entire solutions of complex nonlinear partial differential equation (systems) with two variables. Utilizing Nevanlinna theory along with the Hadamard factorization theory of meromorphic functions, we derive several ...
Chen Yu Bin, Jiao Xin, Xu Hong Yan
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JMIR Public Health and SurveillanceBackgroundRespondent-driven sampling (RDS) is the current standard for sampling key populations at risk for HIV infections but is usually limited to local implementation in single towns or cities. Web-based sampling eliminates this spatial constraint but
Watcharapol Srinor +8 more
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On the Expressibility of a Uniform Function of Several Complex Variables as the Quotient of Two Functions of Entire Character [PDF]
Transactions of the American Mathematical Society, 1917 It is a classical fact in the theory of functions of one complex variable that any meromorphic function may be expressed as the quotient of two entire functions without common zeros. When f(x) is a uniform function with essential singularities at finite distance, this theorem may be extended, as was shown by Weierstrasst for a finite number of ...
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On the class of entire functions defined by Dirichlet series of several complex variables
Journal of Mathematical Analysis and Applications, 1991 Let \(f(s_ 1,s_ 2)=\sum^ \infty_{m,n=1}a_{m,n}\exp(\lambda_ ms_ 1+\mu_ ns_ 2)\) be an entire function defined by Dirichlet series of two complex variables \(s_ 1\) and \(s_ 2\), where the coefficients \(a_{m,n}\) are complex numbers and ...
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Entire functions of several complex variables satisfying certain Fermat-type PDDEs
In this paper, we solve certain Fermat-type partial differential-difference equations for finite order entire functions of several complex variables. These results are significant generalizations of some earlier findings, especially those of Haldar and Ahamed (Entire solutions of several quadratic binomial and trinomial partial differential-difference ...
Xu, Hong Yan +2 more
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Runge approximation on convex sets implies the Oka property
, 2005 We prove that the classical Oka property of a complex manifold Y, concerning the existence and homotopy classification of holomorphic mappings from Stein manifolds to Y, is equivalent to a Runge approximation property for holomorphic maps from compact ...
Forstneric, Franc
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Whittaker constants for entire functions of several complex variables [PDF]
Pacific Journal of Mathematics, 1971 openaire +2 more sources