6533b7cffe1ef96bd125916d
RESEARCH PRODUCT
Construction of a fundamental set of solutions of an arbitrary homogeneous linear difference equation
Anna NapoliV. TretynykAntonino Messinasubject
Matrix difference equationFibonacci numberHermite polynomialsDifferential equationMathematical analysisMathematicsofComputing_NUMERICALANALYSISCharacteristic equationStatistical and Nonlinear PhysicsDifference equation matrix calculations Fibonacci sequence.Homogeneous differential equationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONLinear difference equationMathematical PhysicsVariable (mathematics)Mathematicsdescription
Abstract The detailed construction of a prefixed fundamental set of solutions of a linear homogeneous difference equation of any order with arbitrarily variable coefficients is reported. The usefulness of the resulting resolutive formula is illustrated by simple applications to the Hermite polynomials and to the Fibonacci sequence.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-04-01 | Reports on Mathematical Physics |