A note on the alternating sums of powers of consecutive q-integers

Abstract

In this paper we construct a new q-Euler numbers and polynomials. By using these numbers and polynomials, we give the interesting formulae related to alternating sums of powers of consecutive q-integers following an idea due to Euler.

arXiv comment6 pages

References in corpus (3)

• Sums of powers of consecutive q-integers
• A note on q-Volkenborn integration
• $q$-Volkenborn Integration and Its Applications

Cited by in corpus (4)

• The Modified q-Euler numbers and polynomials
• p-adic l-functions and sums of powers
• p-adic q-expansion of alternating sums of powers
• On p-adic q-l-functions and sums of powers, II