New handy and accurate approximation for the Gaussian integrals with applications to science and engineering

DOI10.1515/math-2019-0131zbMath1440.33021OpenAlexW3000401651MaRDI QIDQ2189208

Luis Hernández-Martínez, Mario A. Sandoval-Hernandez, Hector Vazquez-Leal, U. A. Filobello-Nino

Publication date: 15 June 2020

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2019-0131

zbMATH Keywords

error functioncumulative distribution functionapproximative solutionsGaussian distribution integralpower extender series method

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Numerical approximation and evaluation of special functions (33F05)

Related Items (3)

Exploring the novel continuum-cancellation Leal-method for the approximate solution of nonlinear differential equations ⋮ New tightness lower and upper bounds for the standard normal distribution function and related functions ⋮ A novel version of HPM coupled with the PSEM method for solving the Blasius problem

Uses Software

• Excel
• RcmdrPlugin.seeg
• seeg

Cites Work

• An auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations
• Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
• PSEM approximations for both branches of Lambert \(W\) function with applications
• Generalized homotopy method for solving nonlinear differential equations
• A Close Approximation Related to the Error Function
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: New handy and accurate approximation for the Gaussian integrals with applications to science and engineering