New q-Euler numbers and polynomials associated with p-adic q-integrals

Abstract

In this paper we study q-Euler numbers and polynomials by using p-adic q-fermionic integrals on Z_p. The methods to study q-Euler numbers and polynomials in this paper are new.

13 pages

References in corpus (4)

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• A note on p-adic q-integrals associated with q-Euler numbers
• On the analogs of Euler numbers and polynomials associated with p-adic integrals on the rings of p-adic integers at q=-1
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Cited by in corpus (13)

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• Explicit formulas for p-adic integrals: approach to p-adic distributions and some families of special numbers and polynomials
• A note on the generalized q-Euler numbers(2)
• On the behavior of $p$-adic Euler $\ell$-functions
• On the q-Euler numbers and polynomials with weight 0
• Note on q-extensions of Euler numbers and polynomials of higher order
• A new class of generalized Genocchi polynomials
• q-Euler Numbers and Polynomials Associated with Basic Zeta Functions
• Euler number and polynomials of higher order
• On A two-variable p-adic l_q function