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The Summability of the Developments in Bessel Functions: with Applications

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The object of the present book is to establish sufficient conditions for the summability at the origin and the uniform summability in the neighborhood of the origin of the developments in Bessel's functions. It has also been the aim of the writer to obtain summability of as low an index as possible without placing any considerable restriction on the function to be developed.

The study of the behavior of the development in the neighborhood of the origin presents much greater difficulties than...