Graphical and Database Analysis of New Sequence of Functions Involving the Bessel Function with MatLab Implementation

Abstract

The aim of the present paper is an attempt to introduce a new sequence of functions       , ; , , / 0,1,2,...    n V x a k s n , which involving the Bessel function of first kind  .  J x By using operational technique, some interesting generating relations and summation formulas are obtained in sections 2 and 3. The remarkable thing of this paper is the crucial MATLAB coding of the new sequence of functions, Database and Graph established using the MATLAB (R2012a) in the section (5) and (6) for different values of parameters and n=1, 2, 3 and 4. The reader can establish Database and Graph using the same program for any value of n. General Terms Special function, Sequence of Function, Matlab.