Results 31 to 40 of about 181,583 (167)
Entire functions of several variables of bounded index
, 2015 This monograph is devoted to the theory of entire functions of several variables. A definition of bounded index was supposed by B. Lepson. We generalised his definition for several variables and obtained criteria of L-index boundedness in direction. In particular we obtained obtain analogues of one-dimensional criterion of boundedness L-index in terms ...
Bandura, Andriy, Skaskiv, Oleh
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On the Cauchy problem in a class of entire functions in several variables [PDF]
Banach Center Publications, 1996 We study the integral representation of solutions to the Cauchy problem for a differential equation with constant coefficients. The Cauchy data and the right-hand of the equation are given by entire functions on a complex hyperplane of Cn+1. The Borel transformation of power series and residue theory are used as the main methods of investigation.
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On the geometric means of entire functions of several complex variables [PDF]
Transactions of the American Mathematical Society, 1970 Let f(z, z.,) be an entire function of the n (? 2) complex variables Z1 ... . Zn, holomorphic for Izt I rt, t= 1 ... , n. We have considered the case of only two complex variables for simplicity. Recently many authors have defined the arithmetic means of the function lf(zl, z2)I and have investigated their properties.
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Demonstratio MathematicaThis study is devoted to exploring the existence and the precise form of finite-order transcendental entire solutions of second-order trinomial partial differential-difference equations L(f)2+2hL(f)f(z1+c1,z2+c2)+f(z1+c1,z2+c2)2=eg(z1,z2)L{(f)}^{2}+2hL(f)
Xu Hong Yan, Haldar Goutam
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Efficient partition of integer optimization problems with one-hot encoding
Scientific Reports, 2019 Quantum annealing is a heuristic algorithm for solving combinatorial optimization problems, and hardware for implementing this algorithm has been developed by D-Wave Systems Inc.
Shuntaro Okada +2 more
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Simulation of neuro-fuzzy model for optimization of combine header setting [PDF]
Journal of Agricultural Machinery, 2016 Introduction The noticeable proportion of producing wheat losses occur during production and consumption steps and the loss due to harvesting with combine harvester is regarded as one of the main factors.
S Zareei, Sh Abdollahpour
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Expansion of Entire Functions of Several Complex Variables Having Finite Growth [PDF]
Transactions of the American Mathematical Society, 1974 We consider the space χ \chi of entire
Kamthan, P. K., Gupta, Manjul
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Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
Axioms, 2019 In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
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Wiman’s Type Inequality in Multiple-Circular Domain
Axioms, 2021 In the paper we prove for the first time an analogue of the Wiman inequality in the class of analytic functions f∈A0p(G) in an arbitrary complete Reinhard domain G⊂Cp, p∈N represented by the power series of the form f(z)=f(z1,⋯,zp)=∑‖n‖=0+∞anzn with the ...
Andriy Kuryliak, Oleh Skaskiv
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Demonstratio MathematicaIn this paper, we consider Fermat-type functional equations of the formF2(z)+G2(z)=exp(c1z1+c2z2+c0), $${F}^{2}\left(z\right)+{G}^{2}\left(z\right)=\mathrm{exp}\left({c}_{1}{z}_{1}+{c}_{2}{z}_{2}+{c}_{0}\right),$$
Chakraborty Gorachand +2 more
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