Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$
Three- and four-term recurrence relations for hypergeometric functions of the second order (such as hypergeometric functions of Appell, Horn, etc.) are the starting point for constructing branched continued fraction expansions of the ratios of these ...
R.I. Dmytryshyn, I.-A.V. Lutsiv
doaj +1 more source
Multiple orthogonal polynomials associated with branched continued fractions for ratios of hypergeometric series [PDF]
The main objects of the investigation presented in this paper are branched-continued-fraction representations of ratios of contiguous hypergeometric series and type II multiple orthogonal polynomials on the step-line with respect to linear functionals or
Hélder Lima
semanticscholar +1 more source
In the paper, using some recurrent relations, the expansion of the hypergeometric Appel function F4 (1,2;2,2; z1, z2 ) into a branched continued fraction of special form is constructed.
V. Hladun +3 more
semanticscholar +1 more source
Equivariant embeddings of rational homology balls [PDF]
We generalise theorems of Khodorovskiy and Park-Park-Shin, and give new topological proofs of those theorems, using embedded surfaces in the 4-ball and branched double covers.
Owens, Brendan
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Optimal design of water distribution systems based on entropy and topology [PDF]
A new multi-objective evolutionary optimization approach for joint topology and pipe size design of water distribution systems is presented. The algorithm proposed considers simultaneously the adequacy of flow and pressure at the demand nodes; the ...
Saleh, Salah H A, Tanyimboh, Tiku
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Statistical Mechanics of 2+1 Gravity From Riemann Zeta Function and Alexander Polynomial:Exact Results [PDF]
In the recent publication (Journal of Geometry and Physics,33(2000)23-102) we demonstrated that dynamics of 2+1 gravity can be described in terms of train tracks.
A.L. Kholodenko +61 more
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BCKDH: the missing link in apicomplexan mitochondrial metabolism is required for full virulence of Toxoplasma gondii and Plasmodium berghei [PDF]
While the apicomplexan parasites Plasmodium falciparum and Toxoplasma gondii are thought to primarily depend on glycolysis for ATP synthesis, recent studies have shown that they can fully catabolize glucose in a canonical TCA cycle.
Barrett, Michael P. +11 more
core +1 more source
Short-term variability in the sedimentary BIT index of Lake Challa, East Africa over the past 2200 years : validating the precipitation proxy [PDF]
. The branched vs. isoprenoid index of tetraethers (BIT index) in Lake Challa sediments has been applied as a monsoon precipitation proxy on the assumption that the primary source of branched tetraether lipids (brGDGTs) was soil washed in from the lake's
Buckles, LK +4 more
core +1 more source
A Worpitzky boundary theorem for branched continued fractions of the special form
For a branched continued fraction of a special form we propose the limit value set for the Worpitzky-like theorem when the element set of the branched continued fraction is replaced by its boundary.
Kh.Yo. Kuchminska
doaj +1 more source
Two-sided bounds for the complexity of cyclic branched coverings of two-bridge links [PDF]
We consider closed orientable 3-dimensional hyperbolic manifolds which are cyclic branched coverings of the 3-sphere, with branching set being a two-bridge knot (or link).
Petronio, Carlo, Vesnin, Andrei
core +4 more sources

