Recent Advances in the Nield-Kuznetsov Functions-Reference-Cited by-同舟云学术

Recent Advances in the Nield-Kuznetsov Functions

Published:2021-07-23 Issue: Volume:20 Page:178-186
ISSN:2224-2678
Container-title:WSEAS TRANSACTIONS ON SYSTEMS
language:en
Short-container-title:

Author:

Hamdan M.H.¹,Dajani S. Jayyousi²,Abu Zaytoon M.S.³

Affiliation:

1. Department of Mathematics and Statistics University of New Brunswick Saint John, N.b., Canada

2. Department of Mathematics and Computer Science Lake Forest College Lake Forest, IL 60045, USA

3. Department of Mathematics University of Petra Amman, JORDAN

Abstract

In this article, we discuss a class of functions known as the Nield-Kuznetsov functions, introduced over the past decade. These functions arise in the solutions to inhomogeneous Airy’s and Weber’s equations. Derivations of these functions are provided, together with their methods of computations

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Computer Science Applications,Control and Systems Engineering

Reference31 articles.

1. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, Dover, New York 1984.

2. N. M. Temme, “Parabolic Cylinder Functions”, in NIST Handbook of Mathematical Functions”, Chapter 12, pp. 303-319, (Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert and Charles W. Clark, eds.), U.S. Dept. Commerce, Washington, DC, Cambridge University, 2000.

3. N.M. Temme. Special functions: An introduction to the classical functions of mathematical physics. John Wiley & Sons, New York, 1996.

4. O. Vallée and M. Soares, Airy functions and applications to physics. World Scientific, London, 2004.

5. J. C. P. Miller and Z. Mursi, Notes on the solution of the equation y^''-xy=f(x), Quarterly J. Mech. Appl. Math., vol. 3, pp. 113-118, 1950.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Inhomogeneous Airy’s and Generalized Airy’s Equations with Initial and Bounday Conditions;International Journal of Circuits, Systems and Signal Processing;2021-09-20