In the paper, the authors view some ordinary differential equations and their solutions from the angle of (the generalized) derivative polynomials and simplify some known identities for the Bernoulli numbers and polynomials, the Frobenius-Euler polynomials, the Euler numbers and polynomials, in terms of the Stirling numbers of the first and second kinds.

2010;23(1) S Afr J Clin Nutr a Faber M, PhD b Oelofse A, PhD a Van Jaarsveld PJ, PhD c Wenhold FAM, PhD d Jansen van Rensburg WS, MSc a Nutritional Intervention Research Unit, Medical Research Council, South Africa b Centre for Nutrition, University of Pretoria, Pretoria, South Africa c Division of Human Nutrition, Faculty of Health Sciences, University of Pretoria, South Africa d Agricultural ...

The microscope, such an integral part of pathology today, was only reluctantly accepted by physicians at the time of its invention in 1590. After the Dutch Zacharias Janssen invented the compound microscope by combining convex lenses in a tube, Holland and Italy became centers for the production and use of the new instrument. The name “microscope” was first suggested in 1625 by Faber a botanist...

This research study aims to analyze the main character Theo Faber in novel "The Silent Patient" written by Alex MichaelIdes through perspective of Freud's (1923) theory personality, discussed his book, The Id and Ego. Therefore, researchers have examined changes personality via Ego at different stages. Moreover, this has aforementioned analyzing it including life (sexual) death (aggression) ins...

Formulae expressing explicitly the coefficients of an expansion of double Jacobi polynomials which has been partially differentiated an arbitrary number of times with respect to its variables in terms of the coefficients of the original expansion are stated and proved. Extension to expansion of triple Jacobi polynomials is given. The results for the special cases of double and triple ultraspher...

The celebrated Erdös, Faber and Lovász Conjecture may be stated as follows: Any linear hypergraph on v points has chromatic index at most v. We will introduce the linear intersection number of a graph, and use this number to give an alternative formulation of the Erdös, Faber, Lovász conjecture. Finally, first results about the linear intersection number will be proved. For example, the definit...

formulae expressing explicitly the coefficients of an expansion of double jacobi polynomials which has been partially differentiated an arbitrary number of times with respect to its variables in terms of the coefficients of the original expansion are stated and proved. extension to expansion of triple jacobi polynomials is given. the results for the special cases of double and triple ultraspher...