## Transformations, Transmutations, and Kernel Functions, Volume IA broad ranging collection of recent results in the subject covering areas from plane elasticity to second and higher order elliptic equations. The chapters may be read individually, providing a more accessible forum for the applications. |

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### Contents

Analytic Methods in the Theory of Elasticity | 1 |

Boundary Value Problems | 59 |

The Schwarz Function and Hele Shaw Flows | 155 |

Copyright | |

4 other sections not shown

### Common terms and phrases

Anal analytic functions Appl applied approximation assume BEGEHR Bergman boundary conditions boundary value problems bounded closed coefficients COLTON complex components computation connected consider constant constructing continuous coordinates corresponding curves defined denote derivatives determined direction domain elastic estimate example exists finite formula fundamental given Goursat problem harmonic Hence hypercomplex identity implies inequality initial integral integral equations introduce inverse kernel known leads linear mapping Math matrix means method Moreover namely normal obtain operator partial differential equations plane polynomial potential proof prove R.P. GILBERT refer Remark representation respect Riemann function satisfy Schwarz seen shown singular solution solve space stress surface Theorem theory transformation transmutation unique variables vector written zero