G. N. Watson

TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.

TL;DR: The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.

TL;DR: The theory of Riemann integration as mentioned in this paper is a generalization of the theory of complex numbers, and it can be expressed as follows: 1. Complex numbers 2. The theory of convergence 3. Continuous functions and uniform convergence 4. The fundamental properties of analytic functions 5. The expansion of functions in infinite series 6.

TL;DR: The tabulation of Bessel functions can be found in this article, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.

Abstract: During the last 15 years, the problem of determining the effect at a distant point of the earth’s surface due to a Hertzian oscillator emitting waves of a definite frequency has been the subject of numerous theoretical investigations. When certain assumptions of a physical character have been made, the problem is of a definitely mathematical type; it is in fact reduced to the problem of finding an approximate formula for the sum of a certain complicated seines of an oscillatory nature; we shall summarise the principal methods which have been devised for dealing with this series.