Results 31 to 40 of about 1,829,984 (205)
The paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi ...
Roman Dmytryshyn, Serhii Sharyn
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Path generating functions and continued fractions
From the authors' abstract: ``This paper extends \textit{P. Flajolet}'s [Discrete Math. 32, 125--161 (1980; Zbl 0445.05014)] combinatorial theory of continued fractions by obtaining the generating function for paths between horizontal lines, with arbitrary starting and ending point and weights on the steps.
Ian P. Goulden, David M. Jackson 0001
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A Generalization of the Simple Continued Fraction Algorithm [PDF]
In this paper we present a generalization of the continued fraction algorithm, based on a geometric and matrix-theoretic approach. We first give a geometric representation in the plane
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ABSTRACT Background Shwachman–Diamond syndrome (SDS) is a rare autosomal recessive ribosomopathy characterized by bone marrow failure and multisystem involvement, with emerging evidence of associated neurocognitive impairment. Methods We conducted a retrospective study of 240 individuals with biallelic Shwachman–Bodian–Diamond syndrome (SBDS) mutations
Jane Koo +11 more
wiley +1 more source
Generalized permutation patterns - a short survey [PDF]
An occurrence of a classical pattern p in a permutation π is a subsequence of π whose letters are in the same relative order (of size) as those in p.
Steingrimsson, Einar
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On Analytical Extension of Generalized Hypergeometric Function 3F2
The paper considers the generalized hypergeometric function F23, which is important in various fields of mathematics, physics, and economics. The method is used, according to which the domains of the analytical continuation of the special functions are ...
Roman Dmytryshyn, Volodymyra Oleksyn
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ABSTRACT Background Therapeutic apheresis (TA) is an established treatment modality for hematologic, neurologic, and immunologic disorders, yet access remains severely limited in sub‐Saharan Africa. Donor apheresis, including platelet apheresis collection from healthy donors, represents an important complementary modality supporting blood product ...
Nosa Bazuaye +33 more
wiley +1 more source
A Pincherle-Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras
This contribution is dedicated to the interdependence of higher order linear difference equations and generalized continued fractions in Banach algebras.
Hendrik Baumann, Thomas Hanschke
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A Continued Fraction Expansion for a Generalization of Dawson's Integral [PDF]
A continued fraction expansion for a generalization of Dawson’s integral is presented. An exact formula for the truncation error in terms of the confluent hypergeometric function is derived. The expansion is shown to have good convergence properties for both small and large values of the argument.
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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 +4 more
wiley +1 more source

