Open AccessOn the Use of Special Bilinear Functions in Computing Bernoulli Polynomials
Author(s) -
Ali M. Awin
Publication year - 2015
Publication title -
international journal of computer and technology
Language(s) - English
Resource type - Journals
ISSN - 2277-3061
DOI - 10.24297/ijct.v14i1.2120
Subject(s) - convolution (computer science) , connection (principal bundle) , bilinear interpolation , product (mathematics) , bernoulli polynomials , mathematics , bernoulli's principle , algebra over a field , bernoulli process , tuple , discrete mathematics , pure mathematics , computer science , difference polynomials , orthogonal polynomials , artificial intelligence , aerospace engineering , statistics , geometry , artificial neural network , engineering
In this paper we review, firstly, the subject of bilinear functions in connection with the convolution of two n-tuples vectors(originally named quacroms); then we summarize some of its important applications such as the calculation of the product of two polynomials and hence two integers and their use in representing certain quantities .The main topic of this paper is the use of these special bilinear functions in computing special functions as in the case of Bernoulli polynomials through simple recurrence relations ,this will be performed next and where the related algorithm will be described .Moreover, the first few Bernoulli polynomials are tabulated for the interval