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A Unified Calculus Using the Generalized Bernoulli Polynomials

✍ Scribed by Clément Frappier

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
217 KB
Volume
109
Category
Article
ISSN
0021-9045

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✦ Synopsis

We introduce an :-calculus with the help of the generalized Bernoulli polynomials. The parameter : is the order of a Bessel function of the first kind. The differential :-calculus can be put in a general context where the concept of supporting function is an important tool for practical purposes. Our somewhat more restrictive point of view has the advantage of permitting a consistent definition of an :-integral with several interesting properties. It results in the possibility of expressing a remainder, in the aforementioned context, in a completely new form in our case. 2001

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