Article citationsMore>>

Bowman, D. and Sohn, J. (1999) Partial q-Differences Equations for Basic Hypergeometric Function and Their q-Con- tinued Fractions. University of Illinois.

has been cited by the following article:

• TITLE: Numerical Approximation of Quantum-Integrals Using the Appropriate Nodes and Weights

  AUTHORS: S. M. Hashemiparast, D. A. Ghondaghsaz, M. Maghasedi

  KEYWORDS: q-Calculation, Numerical Approximation, q-Integration, q-Derivative

  JOURNAL NAME: Applied Mathematics, Vol.6 No.6, June 2, 2015

  ABSTRACT: In this paper, we present a procedure for the numerical q-calculation of the q-integrals based on appropriate nodes and weights which are determined such that the error of q-integration is mini-mized; a system of linear and nonlinear set of equations respectively are prepared to obtain the nodes and weights simultaneously; the error of q-integration is considered to be minimized under this condition; finally some application and numerical examples are given for comparison with the exact solution. At the end, the related tables of approximations are presented.