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Large deviation asymptotics for continued fraction expansions [PDF]
, 2007 We study large deviation asymptotics for processes defined in terms of continued fraction digits. We use the continued fraction digit sum process to define a stopping time and derive a joint large deviation asymptotic for the upper and lower fluctuation ...
Kesseböhmer, Marc, Slassi, Mehdi
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Carpathian Mathematical PublicationsIn the paper, the problems of convergence and relative stability to perturbations of a branched continued fraction with positive elements and a fixed number of branching branches are investigated.
V. Hladun, D. I. Bodnar, R. Rusyn
semanticscholar +1 more source
Continued Fraction as a Discrete Nonlinear Transform
, 1993 The connection between a Taylor series and a continued-fraction involves a nonlinear relation between the Taylor coefficients $\{ a_n \}$ and the continued-fraction coefficients $\{ b_n \}$.
Bender, Carl M., Milton, Kimball A.
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The overlap operator as a continued fraction [PDF]
, 2001 We use a continued fraction expansion of the sign-function in order to obtain a five dimensional formulation of the overlap lattice Dirac operator. Within this formulation the inverse of the overlap operator can be calculated by a single Krylov space ...
A. Boriçi +10 more
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Parametric Evaluations of the Rogers-Ramanujan Continued Fraction
International Journal of Mathematics and Mathematical Sciences, 2011 In this paper with the help of the inverse function of the singular moduli we evaluate the Rogers-Ranmanujan continued fraction and its first derivative.
Nikos Bagis
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A certain method of construction of Thiele-Hermite continued fraction at a point
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 The problem of interpolation of the function of a complex variable at a point of a compact set by the Thiele-Hermite continued fraction is investigated.
Mykhailo Pahirya, Yuliia Myslo
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Stability to perturbations of continued fraction approximants and applications
Researches in MathematicsThe paper investigates the problem of stability to perturbations of continued fraction approximants with complex elements. Unlike the problem of investigating the stability of continued fractions to perturbations, which focuses on the properties of ...
V. Hladun, M. Dmytryshyn
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Mathematics, 2022 Given real parameters a,b,c and integer shifts n1,n2,m, we consider the ratio R(z)=2F1(a+n1,b+n2;c+m;z)/2F1(a,b;c;z) of the Gauss hypergeometric functions.
Alexander Dyachenko, Dmitrii Karp
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Pediatric Blood &Cancer, EarlyView.ABSTRACT The pediatric hematology‐oncology fellowship training curriculum has not substantially changed since its inception. The first year of training is clinically focused, and the second and third years are devoted to scholarship. However, this current structure leaves many fellows less competitive in the current job market, resulting in ...
Scott C. Borinstein +3 more
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Asymmetric circular graph with Hosoya index and negative continued fractions
Karpatsʹkì Matematičnì Publìkacìï, 2021 It has been known that the Hosoya index of caterpillar graph can be calculated as the numerator of the simple continued fraction. Recently in [MATCH Commun. Math. Comput. Chem.
T. Komatsu
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