24 research outputs found
A Note on the Generalized -Bernoulli Measures with Weight
We discuss a new concept of the -extension of Bernoulli measure. From those measures, we derive some interesting properties on the generalized
-Bernoulli numbers with weight attached to
Identities of Symmetry for Higher-Order Generalized q
We investigate the properties of symmetry in two variables related to multiple Euler q-l-function which interpolates higher-order q-Euler polynomials at negative integers. From our investigation, we can derive many interesting identities of symmetry in two variables related to generalized higher-order q-Euler polynomials and alternating generalized q-power sums
A note on the generalized q-Bernoulli . . .
We discuss a new concept of the q-extension of Bernoulli measure. From those measures, we derive some interesting properties on the generalized q-Bernoulli numbers with weight α attached to χ
Some New Identities on the Bernoulli and Euler Numbers
We give some new identities on the Bernoulli and Euler numbers by using the bosonic p-adic integral on Zp and reflection symmetric properties of Bernoulli and Euler polynomials