A note on p-adic q-Euler measure

By Hacer Ozden, Yilmaz Simsek, I. N. Cangul, Seog-Hoon Rim. 2007

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In this paper we will investigate properties of modified q-Euler numbers and polynomials. The main purpose of this paper is to construct p-adic q-Euler measures.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ca160f141612b3418283ae47f5fb4b6dd1477563

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In Algebra and Number Theory

In Mathematical Physics

Citations in the corpus

On the multiple q-Genocchi and Euler numbers (2008, background): “n n! , cf.[3, 11, 13 ] . From this we note that limw→1 Gn,w = Gn. The q-extension of Gn,w can be also defined by”
Euler Numbers and Polynomials Associated with Zeta Functions (2008, background): “ve integer in complex plane. Riemann did develop the theory of analytic continuation needed to rigorously deﬁne ζ(s) for all s ∈ C − {0}. From this zeta function, he derived the following formula, cf.[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, ”
An identity of the symmetry for the Frobenius-Euler polynomials associated with the Fermionic $p$-adic invariant $q$-integrals on ${\bf Z}_p$ (2008, background): “When one talks of q-extension, q is variously considered as an indeterminate, a complex q ∈ C, or a p-adic number q ∈ Cp, see [9-22].”
q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients (2008, background): “is called the q-factorial of x of order k, cf. [ 15 , 19, 20].”
Complete sum of products of (h, q)-extension of Euler polynomials and numbers (2010, background): “Bernoulli and Euler numbers and polynomials were studied by many authors (see for detail [18], [ 19 ], [9], [7], [10], [11], [12], [13], [16], [8], [20], [21], [22], [24], [14]) . We introduce some of them here.”
Symmetry p-adic invariant integral on ℤ p for Bernoulli and Euler polynomials (2007, background): “By (18) and (18-1), we obtain the following corollary:”