Results 21 to 30 of about 156,857 (312)
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
core +1 more source
On the location of the zeros of analytic functions
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper we obtain regions containing all the zeros of a class of analytic functions whose coefficients are subject to certain conditions. Our results sharpen some of the results known in this direction.
K. K. Dewan, N. K. Govil
doaj +1 more source
Singular integral operators associated to curves with rational components [PDF]
, 2008 We prove L-p(R-n),1 < p < infinity, bounds for[GRAPHICS]and[GRAPHICS]where R-j(t) = P-j(t)/Q(j)(t),j = 1,2...,n, are rational functions. Our bounds depend only on the degrees of the polynomials P-j, Q(j) and, in particular, they do not depend on ...
Folch-Gabayet, Magali, Wright, James
core +1 more source
Value distribution of meromorphic functions concerning rational functions and differences
Advances in Difference Equations, 2020 Let c be a nonzero constant and n a positive integer, let f be a transcendental meromorphic function of finite order, and let R be a nonconstant rational function.
Mingliang Fang, Degui Yang, Dan Liu
doaj +1 more source
Equiconvergence of some sequences of rational functions
International Journal of Mathematics and Mathematical Sciences, 1992 The phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interpolants to a class of functions. Here we obtain analogues of Yuanren's results for Walsh equiconvergence using rational functions as in Saff and Sharma. We
M. A. Bokhari, A. Sharma
doaj +1 more source
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
core +1 more source
Synthesis of Computable Regular Functions of Infinite Words [PDF]
Logical Methods in Computer Science, 2022 Regular functions from infinite words to infinite words can be equivalently specified by MSO-transducers, streaming $\omega$-string transducers as well as deterministic two-way transducers with look-ahead.
V. Dave, E. Filiot, S. Krishna, N. Lhote
doaj +1 more source
MATRICES OF RATIONAL FUNCTIONS [PDF]
Bulletin of the Australian Mathematical Society, 1974 The properties of the degree of a matrix of rational functions are obtained in a simplified way, which enables them to be generalised to matrices whose elements are not necessarily rational functions. On the basis of these results a theory of realisations is developed, which similarly generalises the theory of state space realisations of a matrix of ...
openaire +2 more sources
Rational function decomposition [PDF]
Proceedings of the 1991 international symposium on Symbolic and algebraic computation, 1991 This paper presents a polynomial time algorithm for determining whether a given univariate rational function over an arbitrary field is the composition of two rational functions over that field, and finds them if so.
openaire +1 more source
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
openaire +4 more sources