AbstractWe define a new difference equation analogue of the Bessel differential equation and investigate the properties of its solution, which we express using a ₂𝐹₁ hypergeometric function. We find ...

THIS book, like the kindred work of Prof. Byerly on “Fourier's Series and Spherical Harmonics,” marks the modern system of mathematical treatment, and may be contrasted with Dr. Todhunter's “Functions ...