Results 11 to 20 of about 4,612,820 (291)

An asymptotic expansion for a ratio of products of gamma functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2000
An asymptotic expansion of a ratio of products of gamma functions is derived. It generalizes a formula which was stated by Dingle, first proved by Paris, and recently reconsidered by ...
Wolfgang Bühring
doaj   +5 more sources

On the asymptotic expansion of a ratio of gamma functions

Journal of Mathematical Analysis and Applications, 2012
The authors prove the following remarkable result: Let \(\alpha\), \(\beta\) be two nonnegative real parameters such that \(\alpha\neq \beta\) and \(y_{j}\,(j=2,3,\ldots)\) constants given by the formula \[ y_{j}=\frac{(-1)^j}{j}\Big[\alpha^j-\beta^j+(\beta-\alpha)\frac{(\alpha+\beta+1)^j-(\alpha+\beta-1)^j}{2^j}\Big]. \] Then, the following asymptotic
LAFORGIA, Andrea Ivo Antonio, NATALINI, PIERPAOLO   +1 more
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Polysulfone foam with high expansion ratio prepared by supercritical carbon dioxide assisted molding foaming method. [PDF]

RSC Adv, 2018
Polysulfone foam with high expansion ratio and high performance was prepared by new foaming method using CO2 and press vulcanizer.
Li Z, Jia Y, Bai S.
europepmc   +2 more sources

Aqueous-phase regulation in Pickering emulsions yields thermally expandable microspheres with high onset expansion temperature and high expansion ratio

eXPRESS Polymer Letters
Thermally expandable microspheres (TEMs) are 5–50 μm core–shell particles that expand near the shell’s glass transition temperature (Tg). They are widely used as blowing agents in polymer foaming.
Xin Liu, Liang Xu, Yu Bai, Wei Wang, Zheng Li, Jizhou Du, Jing Zhang, Junfeng Qian, Mingyang He   +8 more
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Effect of gas saturation conditions on the expansion ratio of microcellular poly(lactic acid)/wood-flour composites

eXPRESS Polymer Letters, 2010
Poly(lactic acid) or PLA and PLA/wood-flour composites were microcellular foamed with CO2 through a batch foaming process. Specifically, the gas saturation pressure and time varied during processing to produce PLA foams with a high expansion ratio. A ten
doaj   +2 more sources

Laminar flow in three-dimensional square-square expansions [PDF]

, 2011
In this work we investigate the three-dimensional laminar flow of Newtonian and viscoelastic fluids through square–square expansions. The experimental results obtained in this simple geometry provide useful data for benchmarking purposes in complex three-
Sousa, P.C., Coelho, P.M., P.M. Coelho, M.S.N. Oliveira, M.A. Alves, Oliveira, Monica, Alves, M.A., P.C. Sousa   +7 more
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The effect of expansion ratio for creeping expansion flows of UCM fluids [PDF]

Journal of Non-Newtonian Fluid Mechanics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Poole, R. J., Pinho, Fernando, Alves, M. A., Oliveira, Paulo J.   +3 more
openaire   +2 more sources

Steady flow of power-law fluids in a 1:3 planar sudden expansion [PDF]

, 2013
The laminar flow of inelastic non-Newtonian fluids, obeying the power-law model, through a planar sudden expansion with a 1:3 expansion ratio was investigated numerically using a finite volume method. A broad range of power-law indices in the range 0.2 n
Dhinakaran, S., Pinho, F.T., Oliveira, Monica, Alves, M.A.   +3 more
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On the ratio of expansion at maximum efficiency [PDF]

Journal of the Franklin Institute, 1881
n ...
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Use of Legumes in Extrusion Cooking: A Review

Foods, 2020
The traditional perception that legumes would not be suitable for extrusion cooking is now completely outdated. In recent years, an increasing number of studies have been conducted to assess the behavior of various types of legume flours in extrusion ...
Antonella Pasqualone, Michela Costantini, Teodora Emilia Coldea, Carmine Summo   +3 more
doaj   +1 more source