## A generalized equation of the vibrating membrane expressed on curvilinear coordinates |

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A Generalized Equation of the Vibrating Membrane Expressed on Curvilinear ... Harry Melvin Shoemaker No preview available - 2015 |

A Generalized Equation of the Vibrating Membrane Expressed on Curvilinear ... Harry M. Shoemaker No preview available - 2016 |

### Common terms and phrases

Archiv der Mathematik ascending even multiples ascending odd multiples assumption in 9 become X Bessel's Functions boundary conditions bW d2V C2 cos2 Aa C2 cosh2 C2 sinh2 change the origin circular coordinates concentric circles confocal ellipses confocal hyperbolas confocal parabolas constants cosh cosh2 cosines in ascending definite number derive differential equation dJn(x ELLIPTIC COORDINATES elliptic nodal lines equa EQUATION IN PARABOLIC family of confocal finite this becomes Hartenstein Heine hyperbolic nodal lines jf s-i(l Jn(x limiting form Mathematik und Physik Mathematische Annalen mode of vibration parabolic coordinates parameter Partiellen Differentialgleichungen periodic functions Put C2 cos2 put in 29 radial lines real solutions rectangular rectilinear lines regions bounded relation remains finite roots sin2 sines in ascending sinh Afi solutions of 67 solves 67 System of Confocal System of Rectilinear systems of solutions transcendental equations Ueber die Partielle values are put VIBRATING MEMBRANE EXPRESSED Weber x-nJnx