A Fast Transform for Spherical Harmonics.
A multiplier theorem for ultraspherical series
A new form of the spherical expansion of zonal functions and Fourier transforms of -finite functions.
A new perspective on some approximations used in neutron transport modeling
In this contribution, we will use the Maxwell-Cartesian spherical harmonics (introduced in [1,2]) to derive a system of partial differential equations governing transport of neutrons within an interacting medium. This system forms an alternative to the well known approximation, which is based on the expansion of the directional dependence into tesseral spherical harmonics ([3,p.197]). In comparison with this latter set of equations, the Maxwell-Cartesian system posesses a much more regular structure,...
A note on certain classes of transformation formulas involving several variables.
A note on semi-classical orthogonal polynomials.
A radial derivative with boundary values of the spherical Poisson integral.
A solution of the boundary value problem in heat conduction
Allied integrals, functions, and series for the unit sphere.
An Addition Theorem for Some q-Hahn Polynomials.
An operational formula involving the associated ultraspherical polynomials
Analogues of Besicovitch-Wiener Theorem for Heisenberg Group.
Arbitrary complex powers of the Dirac operator on the hyperbolic unit ball.