Results 21 to 30 of about 142 (36)

On the inverse transform of Laplace transforms that contain (products of) the parabolic cylinder function

open access: yes, 2015
The Laplace transforms of the transition probability density and distribution functions for the Ornstein-Uhlenbeck process contain the product of two parabolic cylinder functions, namely D_{v}(x)D_{v}(y) and D_{v}(x)D_{v-1}(y), respectively.
Veestraeten, Dirk
core   +1 more source

Solution to an open problem on a logarithmic integral and derived results

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
This article solves an open problem that was previously stated by providing an exact evaluation of a logarithmic integral. Furthermore, the result is generalized by introducing a new adjustable parameter.
Coine Clément, Chesneau Christophe
doaj   +1 more source

Counting and Computing by $e$ [PDF]

open access: yes, 2005
In this paper we count the number of paths and cycles in complete graphs by using the number $e$. Also, we compute the number of derangements in same way.
Hassani, Mehdi
core   +2 more sources

Further Generalization of Kobayashi's Gamma Function [PDF]

open access: yes, 2001
In this paper, we introduce a further generalization of the gamma function involving Gauss hypergeometric function 2F1 (a, b; c ...
Alobaidi, G., Galue, L., Kalla, S.
core  

Remarks on Slater's asymptotic expansions of Kummer functions for large values of the $a-$parameter [PDF]

open access: yes, 2013
In Slater's 1960 standard work on confluent hypergeometric functions, also called Kummer functions, a number of asymptotic expansions of these functions can be found. We summarize expansions derived from a differential equation for large values of the $a-
Temme, Nico M
core   +2 more sources

Improvements of Polya Upper Bound for Cumulative Standard Normal Distribution and Related Functions

open access: yes, 2022
Although there is an extensive literature on the upper bound for cumulative standard normal distribution, there are relatively not sharp for all values of the interested argument x.
Eidous, Omar
core  

Home - About - Disclaimer - Privacy