,Special Lie-Mei Symmetry and Conserved Quantities of Appell Equations Expressed by Appell Function

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Special Lie-Mei symmetry and conserved quantities for Appell equations expressed by Appell functions in a holonomic mechanical system are investigated.On the basis of the Appell equation in a holonomic system,the definition and the criterion of special Lie-Mei symmetry of Appell equations expressed by Appell functions are g/ven.The expressions of the determining equation of special Lie-Mei symmetry of Appell equations expressed by Appell functions,Hojman conserved quantity and Mei conserved quantity deduced from special Lie-Mei symmetry in a holonomic mechanical system are gained.An example is given to illustrate the application of the results.
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