Beginning with Jacob Bernoulli's discovery before 1705 of the polynomials that bear his name, there have been five approaches to the theory of Bernoulli polynomials. These can be associated with the ...

Dans cet article, nous introduisons des modèles combinatoires pour les analogues en plusieurs variables des polynômes de Bernoulli et des nombres d’Euler de deux types. Comme application, nous donnons ...

Jason I. Brown, Karl Dilcher, and Dante V. Manna, On a sequence of sparse binomial-type polynomials. J. Math. Anal. Appl. 398 (2013), no. 1, 128-137. Takashi Agoh and Karl Dilcher, Convolution and ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

points 1 and 2 lie on a streamline, the fluid has constant density, the flow is steady, and there is no friction. Although these restrictions sound severe, the Bernoulli equation is very useful, ...