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Euler sine product and the continued fraction of π [PDF]
Notes on Number Theory and Discrete MathematicsThe 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 +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background/Objectives Outcomes for pediatric relapsed/refractory (R/R) acute myeloid leukemia (AML) remain dismal. CPX‐351, a liposomal formulation of cytarabine and daunorubicin, may have less off‐target toxicities than traditional chemotherapies and has shown improved outcomes for adults with newly diagnosed therapy‐related AML.
Jonathan D. Bender +17 more
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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
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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
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Karpatsʹkì Matematičnì Publìkacìï, 2021 The paper deals with the problem of convergence of the branched continued fractions with two branches of branching which are used to approximate the ratios of Horn's hypergeometric function $H_3(a,b;c;{\bf z})$. The case of real parameters $c\geq a\geq 0,
T.M. Antonova
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background L‐asparaginase is a critical component in treatment protocols for pediatric acute lymphoblastic leukemia. Acute pancreatitis reactions can necessitate delays and, in some cases, discontinuation of L‐asparaginase, which compromises outcomes.
Edward J. Raack +39 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Malignant rhabdoid tumor of the kidney (MRTK) is a rare, aggressive tumor seen in young children. The optimal timing of resection for locally advanced tumors is not well‐defined. The purpose of this study is to evaluate modern oncologic outcomes and the impact of surgical timing. Methods A multicenter retrospective review was performed
Hannah N. Rinehardt +76 more
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Modular equations of a continued fraction of order six
Open Mathematics, 2019 We study a continued fraction X(τ) of order six by using the modular function theory. We first prove the modularity of X(τ), and then we obtain the modular equation of X(τ) of level n for any positive integer n; this includes the result of Vasuki et al ...
Lee Yoonjin, Park Yoon Kyung
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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Smarandache Continued Fractions
, 2001 The theory of general continued fractions is developed to the extent required in order to calculate Smarandache continued fractions to a given number of decimal places. Proof is given for the fact that Smarandache general continued fractions built with positive integer Smarandache sequences baving only a finite number of terms equal to 1 is convergent.
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