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Some efficient methods for obtaining infinite series solutions of n-th order linear ordinary differential equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Allen, G. |
| Copyright Year | 1972 |
| Description | The use of the theta-operator method and generalized hypergeometric functions in obtaining solutions to nth-order linear ordinary differential equations is explained. For completeness, the analysis of the differential equation to determine whether the point of expansion is an ordinary point or a regular singular point is included. The superiority of the two methods shown over the standard method is demonstrated by using all three of the methods to work out several examples. Also included is a compendium of formulae and properties of the theta operator and generalized hypergeometric functions which is complete enough to make the report self-contained. |
| File Size | 1682588 |
| Page Count | 48 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19720024940 |
| Archival Resource Key | ark:/13960/t9s22r493 |
| Language | English |
| Publisher Date | 1972-09-01 |
| Access Restriction | Open |
| Subject Keyword | Hypergeometric Functions Operators Mathematics Series Mathematics Factorials Differential Equations Transformations Mathematics Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |