Humbert, Humbert: Duplication topples matrix function paper

A pair of mathematicians from Egypt has lost their 2012 article in the Journal of the Egyptian Mathematical Society because they reused some of the material from a previous publication.

The article, with the Nabokovian title, “On Humbert matrix functions,” was written by A. Shehata and  M. Abul-Dahab. According to the introduction:

Humbert function of scalar coefficients and variables is appeared in [1,2]. Special matrix functions appear in the literature related to statistics [3,4]. Recently, Laguerre, Hermite and Gegenbauer matrix polynomials have appeared in connection with the study of matrix differential equations [5–7]. The primary goal of this paper is to consider a new system of matrix functions, namely the Humbert matrix function.

Not quite so new after all. As the retraction notice explains:

The authors have plagiarized part of a paper that had already appeared in Afrika Mathematika, 2012, 1–9. http://dx.doi.org/10.1007/s13370-012-0083-9. One of the conditions of submission of a paper for publication is that authors declare explicitly that their work is original and has not appeared in a publication elsewhere. Re-use of any data should be appropriately cited. As such this article represents a severe abuse of the scientific publishing system. The scientific community takes a very strong view on this matter and apologies are offered to readers of the journal that this was not detected during the submission process.

The Afrika Mathematika paper, “On Humbert matrix functions and their properties,” was written by Shehata and Abul-Dahab, along with a third author from Egypt, Z. M. G. Kishka.