activity
19982019
most citedNumerical Evidence that the Perturbation Expansion for a Non-Hermitian -Symmetric Hamiltonian is Stieltjes

71 citations · 422 across the 25 of their papers we have counts for

collaborators

25 papers

math-ph2019

Comment on "Fourier transform of hydrogen-type atomic orbitals'', Can. J. Phys. Vol.\ 96, 724 - 726 (2018) by N. Yükçü and S. A. Yükçü

Ernst Joachim Weniger

Podolsky and Pauling (Phys. Rev. \textbf{34}, 109 - 116 (1929)) were the first ones to derive an explicit expression for the Fourier transform of a bound-state hydrogen eigenfuncti…

math.NA2019

Construction of New Generalizations of Wynn's Epsilon and Rho Algorithm by Solving Finite Difference Equations in the Transformation Order

Xiang-Ke Chang, Yi He, Xing-Biao Hu +2

We construct new sequence transformations based on Wynn's epsilon and rho algorithms. The recursions of the new algorithms include the recursions of Wynn's epsilon and rho algorith…

math-ph2014

Convergence Analysis of the Summation of the Euler Series by Padé Approximants and the Delta Transformation

Riccardo Borghi, Ernst Joachim Weniger

Sequence transformations are valuable numerical tools that have been used with considerable success for the acceleration of convergence and the summation of diverging series. Howev…

math-ph2011

On the Mathematical Nature of Guseinov's Rearranged One-Range Addition Theorems for Slater-Type Functions

Ernst Joachim Weniger

Starting from one-range addition theorems for Slater-type functions, which are expansion in terms of complete and orthonormal functions based on the generalized Laguerre polynomial…

math.NA2010★ 4 cited

Summation of Divergent Power Series by Means of Factorial Series

Ernst Joachim Weniger

Factorial series played a major role in Stirling's classic book "Methodus Differentialis" (1730), but now only a few specialists still use them. This article wants to show that thi…

physics.chem-ph2008★ 17 cited

The strange history of B functions or how theoretical chemists and mathematicians do (not) interact

Ernst Joachim Weniger

functions are a class of relatively complicated exponentially decaying basis functions. Since the molecular multicenter integrals of the much simpler Slater-type functions are…