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On the Evaluation of the Complex-Valued Exponential Integral

J. Graphics, GPU, & Game Tools, 2011
Although its applications span a broad scope of scientific fields ranging from applied physics to computer graphics, the exponential integral is a nonelementary special function available in specialized software packages but not in standard libraries ...
Vincent Pegoraro, Philipp Slusallek
semanticscholar   +1 more source

Robust Exponential Integration of Functions of Boundary Layer Type

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1998
AbstractThe integration of functions of boundary layer type by composite Gaussian quadrature schemes is considered. Using two elements of appropriate size ensures that the corresponding composite Gaussian quadrature converges robustly, i. e., independently of the length scale of the layer, and exponentially in the number of integration points.
openaire   +2 more sources

Some new integral inequalities for exponential type P-functions

Annals of the University of Craiova Mathematics and Computer Science Series
In this paper, by using an identity we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. Then, the aouthors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the ...
Kadakal Mahir   +2 more
openaire   +1 more source

An Accurate Approximation of the Exponential Integral Function Using a Sum of Exponentials

IEEE Communications Letters, 2013
Ala Abu Alkheir, M. Ibnkahla
semanticscholar   +1 more source

An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy   +2 more
exaly  

The mechanisms of integral membrane protein biogenesis

Nature Reviews Molecular Cell Biology, 2021
Ramanujan Shankar Hegde, Robert J Keenan
exaly  

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