3 citations · 8 across the 10 of their papers we have counts for
10 papers
Indefinite integrals of Bessel and Struve functions with half-integer indices, and incomplete gamma functions with integer indices, all times and divided by powers
Jack C. Straton
Indefinite integrals are found for 63 half-integer Bessel and Struve functions, and incomplete gamma functions with integer indices, each multiplied by and divided b…
An infinite set of one-range addition theorems without an infinite second series, for Slater orbitals and it derivatives, applicable more than one coordinate system
Jack C. Straton
Addition theorems have been indispensable tools for the reduction of quantum transition amplitudes. They are normally utilized at the start of the process to move the angular depen…
hypergeometric functions as a sum of a product of functions
Jack C. Straton
This paper shows that certain hypergeometric functions can be expanded in sums of pair products of functions. In special cases, the hyperg…
Summed series involving \,_{1}F_{2} hypergeometric functions
Jack C. Straton
In a prior paper we found that the Fourier-Legendre series of a Bessel function of the first kind J_{N}\left(kx\right) and of a modified Bessel functions of the first kind I_{N}\le…
hypergeometric functions as a sum of a product of functions
Jack C. Straton
This paper shows that certain hypergeometric functions may be expanded in sums of pair products of functions. This expands the class of hypergeometric f…
The Fourier-Legendre series of Bessel functions of the first kind and the summed series involving hypergeometric functions that arise from them
Jack C. Straton
The Bessel function of the first kind is expanded in a Fourier-Legendre series, as is the modified Bessel functions of the first kind .…
Integral representations over finite limits for quantum amplitudes
Jack C. Straton
We extend prior work to derive three additional M-1-dimensional integral representations--over the interval --for products of M Slater orbitals that allows their magnitudes…
An integral transform for quantum amplitudes
Jack C. Straton
The central impediment to reducing multidimensional integrals of transition amplitudes to analytic form, or at least to a fewer number of integral dimensions, is the presence of ma…
Clarifying multiple-tip effects on Scanning Tunneling Microscopy imaging of 2D periodic objects and crystallographic averaging in the spatial frequency domain
Jack C. Straton, Peter Moeck, Bill Moon +1
Crystallographic image processing (CIP) techniques may be utilized in scanning probe microscopy (SPM) to glean information that has been obscured by signals from multiple probe tip…
Reducing a class of two-dimensional integrals to one-dimension with application to Gaussian Transforms
Jack C. Straton
Quantum theory is awash in multidimensional integrals that contain exponentials in the integration variables, their inverses, and inverse polynomials of those variables. The presen…