Abstract In this paper we give some interesting equation of p-adic q-integrals on ℤp. From those p-adic q-integrals, we present a systemic study of some families of extended Carlitz q-Bernoulli ...

This is a preview. Log in through your library . Abstract Generalized Bernoulli polynomials were introduced by Shintani in 1976 in order to express the special values at non-positive integers of ...

Jakob Bernoulli, head of a dynasty of brilliant scholars, was one of the world's leading mathematicians. His great work, Ars Conjectandi, published in 1713, included a profound result that he ...

The Science Quiz appears twice a week in the daily science page. The page is available to read on all days except Saturday in the epaper. Questions (answers at the bottom): 1. The Bernoulli numbers ...

Once upon a time, there lived a family in Switzerland—by the name of Bernoulli. I mention the name because most once-students of science know of it from physics in high-school or early-college years.