Suchergebnisse - Polynomials and rational functions of one complex variable

A brief account of Klein’s icosahedral extensions von Solanilla, Leonardo, Barreto, Erick S., Morales, Viviana

“… We present an alternative relatively easy way to understand and determine the zeros of a quintic polynomial whose Galois group is isomorphic to the group of rotational symmetries of a regular icosahedron …”
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A Remark on Holomorphic Functions Rational in Some Variables von Ivanova, O. A., Melikhov, S. N.

“… We use the Kronecker method for establishing some criterion for the rationality of a holomorphic function of one complex variable …”
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Current Trends in Symmetric Polynomials with their Applications von Kim, Taekyun

“… Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric …”
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The rational Heun operator and Wilson biorthogonal functions von Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei

“… We consider the rational Heun operator defined as the most general second-order q -difference operator which sends any rational function of type [ ( n - 1 ) / n …”
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Some remarks on approximation in several complex variables von Falcó, Javier, Gauthier, Paul M., Manolaki, Myrto, Nestoridis, Vassili

“… )$ which is smaller than the classical one $A(K)$ . In the present paper, we investigate when these two algebras coincide and compare them with the classes of all plausibly approximable functions by polynomials or rational functions or functions …”
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Frontiers in complex dynamics: in celebration of John Milnor's 80th birthday von Bonifant, Araceli, Lyubich, Misha, Sutherland, Scott

“… John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize …”
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The Mother Body Phase Transition in the Normal Matrix Model von Bleher, Pavel M., Silva, Guilherme L. F.

“… & López, we consider multiple orthogonal polynomials associated …”
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On algebraic dependencies between Poincaré functions von PAKOVICH, FEDOR

“… Let A be a rational function of one complex variable of degree at least two, and $z_0$ its repelling fixed point with the multiplier …”
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Ellipsoidal designs and the Prouhet–Tarry–Escott problem: Ellipsoidal designs and the Prouhet–Tarry–Escott problem von Matsumura, Hideki, Sawa, Masanori

“… ) as a natural generalization of the classical one-dimensional PTE problem ( PTE 1 ). We first provide a combinatorial criterion for the construction of solutions of the PTE 2 from a pair of ellipsoidal designs …”
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Dynamics in One Complex Variable. (AM-160): Third Edition. (AM-160) von Milnor, John

“… The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology …”
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Algebraic curves over a finite field von Hirschfeld, J. W. P, Korchmaros, Gabor, Torres, Fernando

“… Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves …”
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On the Blaschke Factors in Polydisk von Durakov, Matvey E

“… We construct inner rational functions for the case of three complex variables, in particular, using the Lee-Yang polynomial from the theory of phase transitions …”
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ON THE EQUATION P(f) = Q(g), WHERE P, Q ARE POLYNOMIALS AND f, g ARE ENTIRE FUNCTIONS von Pakovich, F.

“… In 1922 Ritt described polynomial solutions of the functional equation P(f) = Q(g). In this paper we describe solutions of the equation above in the case when P, Q are polynomials while f, g are allowed to be arbitrary entire functions …”
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The Maximum Number of Zeros of r(z)-z¯ Revisited von Liesen, Jörg, Zur, Jan

“… Generalizing several previous results in the literature on rational harmonic functions, we derive bounds on the maximum number of zeros of functions f ( z ) = p ( z ) q ( z ) - z …”
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The nearest complex polynomial with a zero in a given complex domain von Luo, Zhongxuan, Hu, Wenyu, Sheen, Dongwoo

“… Given a univariate complex polynomial f and a closed complex domain D , whose boundary C is a curve parameterized by a piecewise rational function, we propose two computational algorithms for finding …”
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More infinite products: Thue–Morse and the gamma function von Allouche, J.-P., Riasat, S., Shallit, J.

“… . The purpose of this paper is twofold. On the one hand, we try to find other rational functions for which similar infinite products involving the ± 1 Thue …”
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On amenable semigroups of rational functions von Pakovich, Fedor

“… We characterize left and right amenable semigroups of polynomials of one complex variable with respect to the composition operation …”
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An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble von Perry, Sean

“… . Our proof uses the theory of resultants applied to a complex variable representation of the so-called lensing map …”
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Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples von Platte, Rodrigo B., Trefethen, Lloyd N., Kuijlaars, Arno B. J.

“… It is shown that no stable procedure for approximating functions from equally spaced samples can converge exponentially for analytic functions …”
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On axially rational regular functions and Schur analysis in the Clifford-Appell setting von Alpay, Daniel, Colombo, Fabrizio, De Martino, Antonino, Diki, Kamal, Sabadini, Irene

“… : the Fueter mapping theorem and the generalized Cauchy–Kovalevskaya (GCK) extension. These results allow one to obtain axially regular functions starting from analytic functions of one real or complex variable …”
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