Evaluation of the Exponential Integral for Large Complex Arguments
نویسنده
چکیده
has been prepared by th e National Bureau of Standards [1]; 1 th e introduction to the table gives a precise definition of this function. This table covers the range Ixl ~ 20, Iyl ~ 20, with argumcnts variously spaced. In order to compute E1( z) olltsid e this range, (or within this range, a t points where interpolation is awkward, which are those with comparatively large argument), several methods can be considered. We examine t wo in detail and recommend th e Laguerre quadrature, which is certainly practicable in th e case of isolated arguments.
منابع مشابه
Generalized interval-valued intuitionistic fuzzy Hamacher generalized Shapley Choquet integral operators for multicriteria decision making
The interval-valued intuitionistic fuzzy set (IVIFS) which is an extension of the Atanassov’s intuitionistic fuzzy set is a powerful tool for modeling real life decision making problems. In this paper, we propose the emph{generalized interval-valued intuitionistic fuzzy Hamacher generalized Shapley Choquet integral} (GIVIFHGSCI) and the emph{interval-valued intuitionistic fuzzy Hamacher general...
متن کاملConvergence of Numerical Method For the Solution of Nonlinear Delay Volterra Integral Equations
In this paper, Solvability nonlinear Volterra integral equations with general vanishing delays is stated. So far sinc methods for approximating the solutions of Volterra integral equations have received considerable attention mainly due to their high accuracy. These approximations converge rapidly to the exact solutions as number sinc points increases. Here the numerical solution of nonlinear...
متن کاملShift of “Certainty” in Pre- and Post-Citation Arguments: The Case of Textbooks in Applied Linguistics
Writing academic texts by novice researchers requires a framework and support by learning how to cite the works of others. However, compared to the studies on other academic writings, studying citations by considering certainty markers has received little attention. The main purpose of this study was to investigate the shifts of certainty markers (hedges and boosters) in pre- and post-citation ...
متن کاملConvergence of the sinc method applied to delay Volterra integral equations
In this paper, the numerical solutions of linear and nonlinear Volterra integral equations with nonvanishing delay are considered by two methods. The methods are developed by means of the sinc approximation with the single exponential (SE) and double exponential (DE) transformations. The existence and uniqueness of sinc-collocation solutions for these equations are provided. Thes...
متن کاملMultiplicity result to some Kirchhoff-type biharmonic equation involving exponential growth conditions
In this paper, we prove a multiplicity result for some biharmonic elliptic equation of Kirchhoff type and involving nonlinearities with critical exponential growth at infinity. Using some variational arguments and exploiting the symmetries of the problem, we establish a multiplicity result giving two nontrivial solutions.
متن کامل