The incomplete Gamma function γ(α, x) and its associated functions γ(α, x+) and γ(α, x−) are defined as locally summable functions on the real line and some convolutions and neutrix convolutions of these functions and the functions x and x − are then found.

Abstract. Using a variational approach, two new series representations for the incomplete Gamma function are derived: the first is an asymptotic series, which contains and improves over the standard asymptotic expansion; the second is a uniformly convergent series, completely analytical, which can be used to obtain arbitrarily accurate estimates of Γ(a, x) for any value of a or x. Applications ...

Matrix functions are used in many areas of linear algebra and arise in numerical applications in science and engineering. In this paper, we introduce an effective approach for determining matrix function f(A)=g(q(A)) of a square matrix A, where q is a polynomial function from a degree of m and also function g can be a transcendental function. Computing a matrix function f(A) will be time- consu...

In this article we derive some entries and errata for the book of Gradshteyn Ryzhik which were originally published by Bierens de Haan. We summarize our results using tables easy reading referencing.

objective(s):neurotoxicity of anticancer drugs complicates treatment of cancer patients. vinblastine (vbl) is reported to induce motor and cognitive impairments in patients receiving chronic low-dose regimen. materials and methods: the effects of vbl treatment on motor, learning and memory functions of male and female wistar rats were studied by behavioral related tests. animals were given chro...