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 ...

This is a preview. Log in through your library . SIAM Journal on Applied Mathematics contains research articles on mathematical methods and their applications in the physical, engineering, financial, ...

We introduce a new type of production function, called approximate Cobb-Douglas function, by a perturbation of Euler's partial differential equation characterizing homogeneous function. We show that ...