IJPAM: Volume 70, No. 4 (2011)

A NOTE ON THE INTEGRAL FUNCTION $Ni(x)$ AND
ITS ELEMENTARY PROPERTIES

M.H. Hamdan$^1$, M.T. Kamel$^2$
$^{1,2}$Department of Mathematical Sciences
University of New Brunswick
P.O. Box 5050, Saint John, N.B., E2L 4L5, CANADA


Abstract. In this note, we discuss the integral function Ni(x) which has recently been introduced. Some features of this function make it attractive in the solution to non-homogeneous Airy's differential equation. We will examine some of its elementary properties, its derivatives, and the differential equations it satisfies.

Received: February 7, 2011

AMS Subject Classification: 33E99

Key Words and Phrases: Airy's non-homogeneous equation, Ni(x) function

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 4