Taiwanese Journal of Mathematics, Vol. 15, No. 1 (February 2011), pp. 241-257 (17 pages) Abstract The main object of this paper is to give q-extensions of several explicit relationships of H. M.

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 ...

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 ...