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In this Chapter, we develop semi-analytic cubature formulas for other volume potentials which are used to solve classical problems of mathematical physics. We derive analytic formulas for these potentials applied to the generating functions defined in ( 2.48 ) and one-dimensional integral representation for these potentials applied to the generating functions ( 2.44 ).

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Some Other Cubature Problems

  • 章节

  • 发表日期：

    2025年

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  • Flavia Lanzara,
  • Vladimir Maz’ya,
  • Gunther Schmidt

摘要

In this Chapter, we develop semi-analytic cubature formulas for other volume potentials which are used to solve classical problems of mathematical physics. We derive analytic formulas for these potentials applied to the generating functions defined in ( 2.48 ) and one-dimensional integral representation for these potentials applied to the generating functions ( 2.44 ).