We construct multiplicative Green’s (or ∗Green’s) function for ∗Sturm-Liouville (∗SL) equation. The basic properties of ∗Green’s function are given. Then, ∗SL equation is evaluated by using ∗Green’s ...
IN a recent paper, entitled “Notes on Spherical Harmonics” (Proceedings of the Edinburgh Mathematical Society, vol. xxxii., 1914), Dr. John Dougall wrongly claims as new the expansion which he has ...