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A new method to obtain analytic approximations applied to the J 1(x) function
| Content Provider | Scilit |
|---|---|
| Author | Maass, Fernando Martin, Pablo |
| Copyright Year | 2018 |
| Description | Journal: Journal of Physics: Conference Series In this work an analytic approximation for J$ _{1}$(x) has been found, which is simple and precise, and good for most of the applications of this functions in Physics. The technique here used remarks a little the Pade method, since rational functions are used, but now this type of function are combined in a efficient way with elementary functions, furthermore series power and asymptotic expansions are used simultaneously, as in the Multipoint Quasi-rational Approximation, MPQA method. However here important improvements have been introduced. Though the form of the approximate is built considering the above two expansions, however the parameters of the approximations are determinates by two methods, one similar to the minimum square error method and the other using the coefficients of two expansions, power and asymptotic. Better results are obtained with the first procedure. |
| Related Links | http://iopscience.iop.org/article/10.1088/1742-6596/1043/1/012002/pdf |
| ISSN | 17426588 |
| e-ISSN | 17426596 |
| DOI | 10.1088/1742-6596/1043/1/012002 |
| Journal | Journal of Physics: Conference Series |
| Issue Number | 1 |
| Volume Number | 1043 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2018-06-25 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics: Conference Series Applied Mathematics Mathematical Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy |
