American Journal of Applied Mathematics and Statistics
http://www.sciepub.com/journal/AJAMS
American Journal of Applied Mathematics and Statistics is a peer-reviewed, open access journal that publishes original research articles and review articles in all areas of applied mathematics and statistics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathematics and statistics.Science and Education Publishingen2013 Science and Education Publishing Co. Ltd All rights reserved.American Journal of Applied Mathematics and Statistics
3
3
January 2015
2013 Science and Education Publishing Co. Ltd All rights reserved.
A Method for Solving a Class of Boundary Value Problems of Laguerre Equation
http://pubs.sciepub.com/ajams/3/3/1
Li Ren, Shunchu Li, Dongdong Gui
2015-04-29Science and Education Publishing2015-04-2933899210.12691/ajams-3-3-1
Financial Modeling for Investment through Anticipated Annuities in Scenarios with Floating Interest Rate
http://pubs.sciepub.com/ajams/3/3/2
Arturo García-Santillán, Lizette Gutiérrez-Delgado, Celia Cristóbal-Hernández, Virginia Catalayud-Gutiérrez
2015-05-10Science and Education Publishing2015-05-1033939910.12691/ajams-3-3-2
A Unified Formula for The nth Derivative and The nth Anti-Derivative of the Bessel Function of Real Orders
http://pubs.sciepub.com/ajams/3/3/3
nth derivative and the nth anti-derivative of elementary and special functions has been given. It deals with the problem of finding formulas for the nth derivative and the nth anti-derivative of elementary and special functions. We do not limit n to be an integer, it can be a real number. In general, the solution is given through unified formulas in terms of the Fox H-function and the Miejer G-function which, in many cases, can be simplified to less general functions. This, in turn, makes the first real use of these two special functions in the literature and shows the need of such functions. In this talk, we would like to present the idea on the Bessel function which is a well known special function. One of the key points in this work is that the approach does not depend on integration techniques. We adopt the classical definitions for generalization of differentiation and integration. Namely, the nth order of differentiation is found according to the Riemann-Liouville definition where (k −1 < n < k) and . The generalized Cauchy n-fold integral is adopted for the nth order of integration ]]>
Mhenni M. Benghorbal
2015-06-09Science and Education Publishing2015-06-093310010410.12691/ajams-3-3-3
Semi-Markov Model of a Standby System with General Distribution of Arrival and Failure Times of Server
http://pubs.sciepub.com/ajams/3/3/4
R.K. Bhardwaj, Ravinder Singh
2015-06-25Science and Education Publishing2015-06-253310511010.12691/ajams-3-3-4
On Theoretical Methodology of Nuclear Reactions and Outcome of Certain Physical Phenomena from Them. I. What Follows from the Analytical Properties of the One-channel and the Multichannel S-matrix?
http://pubs.sciepub.com/ajams/3/3/5
S-matrix are investigated for he cases of any interactions with any motion equations inside a sphere of radius a, enclosed by the centrifugal and rapidly decreasing (exponentially or by the Yukawian law or by the more rapidly decreasing) potentials. Some kinds of the symmetry conditions are imposed. The Schroedinger equation for r > a for the particle motion and the condition of the completeness of the correspondent wave functions are assumed. The connection of the obtained results with the causality is examined. Partially some analytical properties for the multi-channel S-matrix are investigated and the sum rules for mean compound-nucleus time delays and the density of compound-nucleus levels. Sometimes (as physical revelations of profound general methodic and in very good consistent accordance with the experiment) observable physical effects, such as parity violation enhancement and time resonances or explosions, are manifested. Finally a scientific program of future search is presented as a clear continuation and extension of the obtained results.]]>
V.S. Olkhovsky
2015-06-29Science and Education Publishing2015-06-293311113010.12691/ajams-3-3-5
On Theoretical Methodology of Nuclear Reactions and Outcome of Certain Physical Phenomena from Them. II. To the Space-time Description of Cross Sections and Durations of the Neutron-nucleus Scattering Near 1-2 Resonances in the C- and L-systems
http://pubs.sciepub.com/ajams/3/3/6
V.S. Olkhovsky
2015-06-29Science and Education Publishing2015-06-293313114110.12691/ajams-3-3-6