78 citations · 690 across the 45 of their papers we have counts for
45 papers
Double summation addition theorems for Jacobi functions of the first and second kind
Howard S. Cohl, Roberto S. Costas-Santos, Loyal Durand +2
In this paper we review and derive hyperbolic and trigonometric double summation addition theorems for Jacobi functions of the first and second kind. In connection with these addit…
Mehler-Fock transforms and retarded radiative Green functions on hyperbolic and spherical spaces
Loyal Durand
We develop the theory of causal radiation Green functions on hyperbolic and hyperspherical spaces using a constructive approach based on generalized Mehler-Fock transforms. This ap…
Fractional operators and multi-integral representations for associated Legendre functions
Loyal Durand
In a recent paper, Cohl and Costas-Santos derived a number of interesting multi-derivative and multi-integral relations for associated Legendre and Ferrers functions in which the o…
Coulomb-nuclear interference in proton-proton scattering: Reply to a comment of V.\ Petrov
Loyal Durand, Phuoc Ha
We show that the remarks of V.\ Petrov in the preceding Comment are misdirected in the region of very small momentum transfers relevant to the study of Coulomb-nuclear interference…
Coulomb-nuclear interference effects in proton-proton scattering: A simple new eikonal approach
Loyal Durand, Phuoc Ha
We present a simple new approach to the treatment of Coulomb-nuclear interference and form-factor effects in high-energy proton-proton scattering in the context of eikonal models f…
Complex asymptotics in\ lambda for the Gegenbauer functions C_λ^α(z) and D_λ^α(z) with z\in(-1,1)
Loyal Durand
We derive asymptotic results for the Gegenbauer functions C_λ^α(z) and D_λ^α(z) of the first and second kind for complex z and the degree λ-> \infty, apply the results to the case…