Results 41 to 50 of about 436,402 (269)

Continued Fractions of Square Roots of Natural Numbers

Acta Polytechnica, 2013
In this paper, we will first summarize known results concerning continued fractions. Then we will limit our consideration to continued fractions of quadratic numbers.
L'ubomíra Balková, Aranka Hrušková
doaj  

Continued fractions of certain Mahler functions

, 2018
We investigate the continued fraction expansion of the infinite products $g(x) = x^{-1}\prod_{t=0}^\infty P(x^{-d^t})$ where polynomials $P(x)$ satisfy $P(0)=1$ and $\deg(P)1$ such that $g(b)\neq0$ the irrationality exponent of $g(b)$ equals two.
Badziahin, Dmitry
core   +1 more source

Convergence criteria of branched continued fractions

Researches in Mathematics
The convergence criteria of branched continued fractions with N branches of branching and branched continued fractions of the special form are analyzed.
I.B. Bilanyk, D.I. Bodnar, O.G. Vozniak
doaj   +1 more source

Positive definite branched continued fractions of special form

Karpatsʹkì Matematičnì Publìkacìï, 2013
Research of the class of branched continued fractions of special form, whose denominators do not equal to zero, is proposed and the connection of such fraction with a certain quadratic form is established.
R.I. Dmytryshyn
doaj   +1 more source

Characterizing Parental Concerns About Lasting Impacts of Treatment in Children With B‐Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background B‐acute lymphoblastic leukemia (B‐ALL) is the most common pediatric cancer, and while most children in high‐resource settings are cured, therapy carries risks for long‐term toxicities. Understanding parents’ concerns about these late effects is essential to guide anticipatory support and inform evolving therapeutic approaches ...
Kellee N. Parker, Sarah W. Alexander, Lisa M. Jacola, Kimberly A. Buff, Kyobin Hwang, Elham Hashemi, Gregory Stoddard, Lindsay A. Jibb   +7 more
wiley   +1 more source

Fractional dimension of some exceptional sets in continued fractions

Comptes Rendus. Mathématique
In this paper, we calculate the Hausdorff dimension of some exceptional sets that emerge from specific constraints imposed on the partial quotients of continued fractions.
Hussain, Mumtaz, Smith, Rebecca, Zhang, Zhenliang   +2 more
doaj   +1 more source

Fast Power System Dynamic Simulation Using Continued Fractions

IEEE Access, 2018
This paper proposes a novel method for power system dynamic simulation that solves power system differential algebraic equations by a semi-analytical and semi-numerical approach using continued fractions.
Chengxi Liu, Bin Wang, Kai Sun
doaj   +1 more source

Representation of a one class function of two variables by bicontinued fractions

Researches in Mathematics, 2020
Let function $u (z, w) = f (z) h (w)$ be defined on the compact set $\mathbf{K} \subset \mathbb{C}^2$. We study the problem of representation of functions of this class by the product of two continued fractions, which is called a bicontinued fraction ...
M.M. Pahirya
doaj   +1 more source

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
doaj   +1 more source

Pseudo-factorials, elliptic functions, and continued fractions

, 2009
This study presents miscellaneous properties of pseudo-factorials, which are numbers whose recurrence relation is a twisted form of that of usual factorials.
Bacher, Roland, Flajolet, Philippe
core   +3 more sources