0000000000079937

AUTHOR

V. Tretynyk

showing 3 related works from this author

Construction of a fundamental set of solutions of an arbitrary homogeneous linear difference equation

2002

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.

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)MathematicsReports on Mathematical Physics
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On new ways of group methods for reduction of evolution-type equations

2005

AbstractNew exact solutions of the evolution-type equations are constructed by means of a non-point (contact) symmetries. Also we analyzed the discrete symmetries of Maxwell equations in vacuum and decoupled ones to the four independent equations that can be solved independently.

Exact solutionGroup (mathematics)Independent equationApplied MathematicsMathematical analysisInhomogeneous electromagnetic wave equationEuler equationsSymmetrysymbols.namesakereaction-diffusion equationsExact solutions in general relativityMaxwell's equationsSimultaneous equationsHomogeneous spacesymbolsAnalysisMathematicsJournal of Mathematical Analysis and Applications
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A new mathematical identity involving binomial coefficients

2005

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