Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Cvijović, Djurdje"'
Autor:
Cvijović, Djurdje
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 August 2020 488(1)
Autor:
Cvijović, Djurdje
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 July 2020 487(1)
Autor:
Cvijovic, Djurdje, Srivastava, Hari M.
Publikováno v:
American Mathematical Monthly, 119 (2012), 324-330
In this paper it is shown that Riemann's zeta function $\zeta(s)$ admits two limit representations when $\Re{(s)}>1.$ Each of these limit representations is deduced by using simple arguments based upon the classical Tannery's (limiting) theorem for s
Externí odkaz:
http://arxiv.org/abs/1301.3659
Autor:
Cvijovic, Djurdje
Publikováno v:
Applied Mathematics Letters, 24 (2011) 1544-1547
A new explicit closed-form formula for the multivariate $(n, k)$th partial Bell polynomial $B_{n,k} (x_1, x_2, ..., x_{n - k + 1})$ is deduced. The formula involves multiple summations and makes it possible, for the first time, to easily evaluate $B_
Externí odkaz:
http://arxiv.org/abs/1301.3658
Autor:
Cvijovic, Djurdje
Publikováno v:
Computers and Mathematics with Applications, 62 (2011) 1879-1886
In this paper higher-order tangent numbers and higher-order secant numbers, ${\mathscr{T}(n,k)}_{n,k =0}^{\infty}$ and ${\mathscr{S}(n,k)}_{n,k =0}^{\infty}$, have been studied in detail. Several known results regarding $\mathscr{T}(n,k)$ and $\maths
Externí odkaz:
http://arxiv.org/abs/1301.3653
Autor:
Cvijović, Djurdje
Publikováno v:
Physica A 389 (2010), 1594-1600
Lee, in a series of papers, described a unified formulation of the statistical thermodynamics of ideal quantum gases in terms of the polylogarithm functions, $\textup{Li}_{s} (z)$. It is aimed here to investigate the functions $\textup{Li}_{s} (z),$
Externí odkaz:
http://arxiv.org/abs/1011.0197
Autor:
Cvijović, Djurdje
Borwein and Broadhurst, using experimental-mathematics techniques, in 1998 identified numerous hyperbolic 3-manifolds whose volumes are rationally related to values of various Dirichlet L series $\textup{L}_{d}(s)$. In particular, in the simplest cas
Externí odkaz:
http://arxiv.org/abs/1011.0195
Autor:
Cvijović, Djurdje
Publikováno v:
J. Math. Anal. Appl. 332 (2007) 1056-1062
We, by making use of elementary arguments, deduce integral representations of the Legendre chi function $\chi_{s}(x)$ valid for $|z|<1$ and $\Re(s)>1$. Our earlier established results on the integral representations for the Riemann zeta function $\ze
Externí odkaz:
http://arxiv.org/abs/0911.4731
Autor:
Cvijović, Djurdje
Publikováno v:
Appl. Math. Lett. 22 (2009) 906-909
In this sequel to our recent note it is shown, in a unified manner, by making use of some basic properties of certain special functions, such as the Hurwitz zeta function, Lerch zeta function and Legendre chi function, that the values of all derivati
Externí odkaz:
http://arxiv.org/abs/0911.4596
Autor:
Cvijović, Djurdje
Publikováno v:
Proc. R. Soc. A 463 (2007) 897-905
Maximon has recently given an excellent summary of the properties of the Euler dilogarithm function and the frequently used generalizations of the dilogarithm, the most important among them being the polylogarithm function $Li_(z)$. The polylogarithm
Externí odkaz:
http://arxiv.org/abs/0911.4452