I've tried searching online for one in what I can only guess would be called a reduced algebraic form, and I cannot find it. To make matters worse, for me, at least, I do not have the mathematics knowledge necessary to understand advanced functions, series, and transformations of mathematics such as Gamma, Fourier, Bessel, or Laplace, and have only some knowledge of derivatives, integrals, and introductory knowledge of differential equations from a high school Calculus AB class I took seven years ago. The reason I am searching this is because there is a 2D equation for surface tension on a membrane: http://hyperphysics.phy-astr.gsu.edu/hbase/music/cirmem.html#c2 and I'm not sure if I can use what I'm guessing is the 1D(?) equation for elastic modulus: E = ( F / A_0 ) / ( ΔL / L ) for the purpose of building a mathematical model of sorts describing a clamped edge, pre-tensioned, radially-symmetric membrane experiencing a transverse displacement 'z' at a point a set distance 'd' from its center in response to a point force (and 0 =< d < membrane radius). I know that in the case of such a deformation the membrane's maximum deformed shape could be said to resemble sqrt(x) revolved about the origin (when d=0). The desired end result would be a function of 'z' with respect to 'd' on the interval [0,r]. It would be implied that the graph of the function would be even.