Results 51 to 60 of about 1,866,320 (298)

Some new identities for a continued fraction of order 12. [PDF]

, 2012
In this paper, we establish some new modular equations of degree three. We establish some new relations for continued fraction of order 12 and also for a parameter µ(q) = 2V (q)V (q 2 ) connecting Ramanujan’s cubic continued ...
Sushan Bairy, K., Chandankumar, S., Mahadeva Naika, M.S.   +2 more
core  

Continued-Fraction Expansion of Transport Coefficients with Fractional Calculus

Mathematics, 2016
The main objective of this paper is to generalize the Extended Irreversible Thermodynamics in order to include the anomalous transport in systems in non-equilibrium conditions.
Abel Garcia-Bernabé, S. I. Hernández, L. F. del Castillo, David Jou   +3 more
doaj   +1 more source

Establishing an Apheresis Medicine Program in a Resource‐Constrained Setting: A 5‐Year Experience From Lagos, Nigeria

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Establishing a comprehensive apheresis medicine program in a resource‐constrained setting presents significant structural, financial, and logistical challenges. Despite the growing clinical importance of apheresis services globally, published experience from sub‐Saharan Africa remains sparse.
Folasade Adelekan‐Popoola, Shakirat Gold‐Olufadi, Olufunto Olufela Kalejaiye, Abdullateef Ogala, Rasheed A. Balogun   +4 more
wiley   +1 more source

A Gauss-Kuzmin-Lévy theorem for a certain continued fraction

International Journal of Mathematics and Mathematical Sciences, 2004
We consider an interval map which is a generalization of the well-known Gauss transformation. In particular, we prove a result concerning the asymptotic behavior of the distribution functions of this map.
Hei-Chi Chan
doaj   +1 more source

Euler sine product and the continued fraction of π [PDF]

Notes on Number Theory and Discrete Mathematics
The Euler sine product and the continued fraction of π are discussed in this article. Some of the infinite series for cotangent and its derivative are obtained by implementing the concept of Euler sine product and some of the standard series are derived ...
Rahul Verma, V. Puneeth, Joseph Varghese Kureethara, Ashish Sharma   +3 more
doaj   +1 more source

Comparative Evaluation of Hemodiafiltration, Hemoperfusion, and Standard Hemodialysis on Efficacy, Inflammatory Control, Dialysis Adequacy, and Safety in End‐Stage Renal Disease: A Prospective Observational Study

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo, Weisi Dai, Jie Mao, Mei Ye, Xingshan Lu, Xiaocui Zhang   +5 more
wiley   +1 more source

Continued fractions and the Thomson Problem

Scientific Reports, 2022
Abstract We introduce new analytical approximations of the minimum electrostatic energy configuration of n electrons, E(n), when they are constrained to be on the surface of a unit sphere. Using 454 putative optimal configurations we searched for approximations of the form E(n) = (n2/2) e g(n) where g(n) was obtained via a memetic algorithm ...
Moscato, Pablo, Haque, Mohammad Nazmul, Moscato, Anna   +2 more
openaire   +3 more sources

A Wirsing-type approach to some continued fraction expansion

International Journal of Mathematics and Mathematical Sciences, 2005
Chan (2004) considered a certain continued fraction expansion and the corresponding Gauss-Kuzmin-Lévy problem. A Wirsing-type approach to the Perron-Frobenius operator of the associated transformation under its invariant measure allows us to obtain a ...
Gabriela Ileana Sebe
doaj   +1 more source

Representation of a quotient of solutions of a four-term linear recurrence relation in the form of a branched continued fraction

Karpatsʹkì Matematičnì Publìkacìï, 2019
The quotient of two linearly independent solutions of a four-term linear recurrence relation is represented in the form of a branched continued fraction with two branches of branching by analogous with continued fractions.
I.B. Bilanyk, D.I. Bodnar, L. Buyak
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