11 citations · 62 across the 21 of their papers we have counts for
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Expansions for a fundamental solution of Laplace's equation on in 5-cyclidic harmonics
Howard S. Cohl, Hans Volkmer
We derive eigenfunction expansions for a fundamental solution of Laplace's equation in three-dimensional Euclidean space in 5-cyclidic coordinates. There are three such expansions…
An identity of hitting times and its application to the valuation of guaranteed minimum withdrawal benefit
Runhuan Feng, Hans W. Volkmer
In this paper we explore an identity in distribution of hitting times of a finite variation process (Yor's process) and a diffusion process (geometric Brownian motion with affine d…
Analytic Solutions for D-optimal Factorial Designs under Generalized Linear Models
Liping Tong, Hans W. Volkmer, Jie Yang
We develop two analytic approaches to solve D-optimal approximate designs under generalized linear models. The first approach provides analytic D-optimal allocations for generalize…
Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals
Howard S. Cohl, Connor MacKenzie, Hans Volkmer
We generalize generating functions for hypergeometric orthogonal polynomials, namely Jacobi, Gegenbauer, Laguerre, and Wilson polynomials. These generalizations of generating funct…
Separation of variables in an asymmetric cyclidic coordinate system
Howard S. Cohl, Hans Volkmer
A global analysis is presented of solutions for Laplace's equation on three-dimensional Euclidean space in one of the most general orthogonal asymmetric confocal cyclidic coordinat…