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A pair of functional inequalities characterizing polynomials and Bernoulli numbers

✍ Scribed by Dorota Krassowska; Tomasz Małolepszy; Janusz Matkowski


Publisher
Springer
Year
2008
Tongue
English
Weight
176 KB
Volume
75
Category
Article
ISSN
0001-9054

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In this work, by using a p-adic q-Volkenborn integral, we construct a new approach to generating functions of the (h, q)-Euler numbers and polynomials attached to a Dirichlet character χ. By applying the Mellin transformation and a derivative operator to these functions, we define (h, q)-extensions