1,513,599 research outputs found
On the families of q-Euler numbers and polynomials and their applications
In the present paper, we investigate special generalized q-Euler numbers and
polynomials. Some earlier results of T. Kim in terms of q-Euler polynomials
with weight alpha can be deduced. For presentation of our formulas we apply the
method of generating function and p-adic q-integral representation on Zp. We
summarize our results as follows. In section 2, by using combinatorial
techniques we present two formulas for q-Euler numbers with weight alpha. In
section 3, we derive distribution formula (Multiplication Theorem) for
Dirichlet type of q-Euler numbers and polynomials with weight . Moreover we
define partial Dirichlet type zeta function and Dirichlet q-L-function, and
obtain some interesting combinatorial identities for interpolating our new
definitions. In addition, we derive behavior of the Dirichlet type of q-Euler
L-function with weight alpha, Lq (s; x j) at s = 0. Furthermore by using second
kind stirling numbers, we obtain an explicit formula for Dirichlet type q-Euler
numbers with weight alpha. Moreover a novel formula for q-Euler-Zeta function
with weight in terms of nested series of E;q (n j) is derived . In section 4,
by introducing p-adic Dirichlet type of q-Euler measure with weight, and we
obtain some combinatorial relations, which interpolate our previous results. In
section 5, which is the main section of our paper. As an application, we
introduce a novel concept of dynamics of the zeros of analytically continued
q-Euler polynomials with weight alpha.Comment: 15 pages, submitte
On the Twisted q-Euler numbers and polynomials associated with basic q-l-functions
One purpose of this paper is to construct twisted q-Euler numbers by using
p-adic invariant integral on Zp in the sense of fermionic. Finally, we consider
twisted Euler q-zeta function and q-l-series which interpolate twisted q-Euler
numbers and polynomials.Comment: 8 page
Quenched KS light hadron mass at \beta=6.5 on a 64\times 48^3 lattice
We report our quenched staggered light hadron mass calculation at the
coupling of \beta = 6.5 on a 48^3 \times 64 lattice, based on an increased
statistics of two hundred gauge configurations. Staggered quark wall sources
with mass of m_q a = 0.01, 0.005, 0.0025 and 0.00125 are used. Flavor symmetry
is restored for pion and \rho meson. The lattice scale is estimated to be
a^{-1} = 3.7(2) GeV.Comment: 4 pages, espcrc2.sty, epsf.sty, Poster presented at LATTICE96(poster
New identities involving q-Euler polynomials of higher order
In this paper we give new identities involving q-Euler polynomials of higher
order.Comment: 11 page
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