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Based on a general theorem on parameter integrals, the linear integral transforms named after Fourier, Laplace, Mellin, and Borel are studied. The main part of this chapter is devoted to the study of Euler’s Gamma function, Riemann’s zeta function and the Pólya-Laguerre functions.

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Special Functions

  • 章节

  • 发表日期：

    2026年

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  • Norbert Steinmetz

摘要

Based on a general theorem on parameter integrals, the linear integral transforms named after Fourier, Laplace, Mellin, and Borel are studied. The main part of this chapter is devoted to the study of Euler’s Gamma function, Riemann’s zeta function and the Pólya-Laguerre functions.