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Rational functions: an alternative approach to asset pricing [PDF]
, 2019 This paper shows that asset prices are linear polynomials of various underlying explanatory factors and asset returns being ratios of these polynomials, are rational functions that do not add linearly when averaging.
Chakraborty, Nilanjana +2 more
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Characterizations of rectangular (para)-unitary rational functions [PDF]
Opuscula Mathematica, 2016 We here present three characterizations of not necessarily causal, rational functions which are (co)-isometric on the unit circle: (i) through the realization matrix of Schur stable systems, (ii) the Blaschke-Potapov product, which is then employed to ...
Daniel Alpay +2 more
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Approximation by Rational Functions [PDF]
Proceedings of the American Mathematical Society, 1986 Making use of the Hardy-Littlewood maximal function, we give a new proof of the following theorem of Pekarski: If f ′ f’
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Resolution of Singularities by Rational Functions
SIAM Journal on Numerical Analysis, 2023 Results on the rational approximation of functions containing singularities are presented. We build further on the ''lightning method'', recently proposed by Trefethen and collaborators, based on exponentially clustering poles close to the singularities.
Herremans, Astrid +2 more
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Thurston equivalence for rational maps with clusters [PDF]
, 2013 We investigate rational maps with period-one and period-two cluster cycles. Given the definition of a cluster, we show that, in the case where the degree is d and the cluster is fixed, the Thurston class of a rational map is fixed by the combinatorial ...
Thomas Sharland, Sharland, Thomas Joseph
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The Annals of Statistics, 1989 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bar-Lev, Shaul K., Bshouty, Daoud
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Properties of rational arithmetic functions
International Journal of Mathematics and Mathematical Sciences, 2005 Rational arithmetic functions are arithmetic functions of the form g1∗⋯∗gr∗h1−1∗⋯∗hs−1, where gi, hj are completely multiplicative functions and ∗ denotes the Dirichlet convolution. Four aspects of these functions are studied.
Vichian Laohakosol, Nittiya Pabhapote
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A rank formula for the self-commutators of rational Toeplitz tuples
Journal of Inequalities and Applications, 2016 In this paper we derive a rank formula for the self-commutators of tuples of Toeplitz operators with matrix-valued rational symbols.
In Sung Hwang, An Hyun Kim, Sumin Kim
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Recomposing Rational Functions [PDF]
International Mathematics Research Notices, 2017 an extended ...
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Affine permutations and rational slope parking functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a new approach to the enumeration of rational slope parking functions with respect to the area and a generalized dinv statistics, and relate the combinatorics of parking functions to that of affine permutations. We relate our construction to
Eugene Gorsky +2 more
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