The Modified q-Euler numbers and polynomials

Abstract

In the recent paper the interesting q-Euler numbers and polynomials introduced in JMAA. The purpose of this paper is to construct the modified q-Euler numbers and polynomiasl. Finally we will give the interesting many identities related to these numbers and polynomials.

10 pages

References in corpus (2)

• $q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series
• A note on the alternating sums of powers of consecutive q-integers

Cited by in corpus (20)

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• Barnes type multiple q-zeta functions and q-Euler polynomials
• Note on the Euler Numbers and Polynomials
• Note on on Dedekind type DC sums
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• Extended q-Dedekind-type Daehee-Changhee sums associated with Extended q-Euler polynomials
• Complete sums of products of (h,q)-extension of Euler numbers and polynomials
• A note on the generalized q-Euler numbers(2)
• A note on the modified q-Dedekind sums
• Note on multiple q-zeta functions
• New approach to q-Genocch, Euler numbers and polynomials and their interpolation functions
• A new class of generalized Bernoulli polynomials and Euler polynomials
• Note on the generalization of the higher order q-Genocchi numbers and q-Euler numbers
• p-adic Dedekind and Hardy-Berndt type sum related to Volkenborn Integral on Z_p
• Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus
• q-Euler numbers and polynomials associated with multiple q-zeta functions
• The fermionic p-adic integrals on Zp associated with extended q-Euler numbers and polynomials
• Euler number and polynomials of higher order
• q-Euler Numbers and Polynomials Associated with Basic Zeta Functions
• On the Euler Numbers and its Applications