Results 11 to 20 of about 471,906 (281)

ANALYTIC FUNCTIONS OF INFINITE ORDER IN HALF-PLANE

Проблемы анализа, 2022
J. B. Meles (1979) considered entire functions with zeros restricted to a finite number of rays. In particular, it was proved that if 𝑓 is an entire function of infinite order with zeros restricted to a finite number of rays, then its lower order ...
K. G. Malyutin, M. V. Kabanko, T. V. Shevtsova   +2 more
doaj   +1 more source

On the Combination of Harmonics and Polynoms in Econometric Modeling of RUB/AZN Exchange Rate

Статистика и экономика, 2022
Conducting a combinational polynomial and spectral analysis of time series formed on the basis of daily observations of changes in the RUB/AZN exchange rate with pronounced fluctuations for the period 11.05.2017- 02.11.2018 based on computer econometric ...
L. M. Mamedova
doaj   +1 more source

Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth

Karpatsʹkì Matematičnì Publìkacìï, 2015
The subclass of a zero order entire function $f$ is pointed out for which the existence of angular $\upsilon$-density for zeros of entire function of zero order is equivalent to convergence in $L^p[0,2\pi]$-metric of its  logarithmic derivative.
M.R. Mostova, M.V. Zabolotskyj
doaj   +1 more source

Triple correlation sums of coefficients of θ-series

AIMS Mathematics, 2023
We investigate the triple correlation sums of coefficients of $ \theta $-series and prove an asymptotic formula with power-saving error term. As a result, we present that this type of sum is non-trivial in the regime $ H\ge X^{2/3+\varepsilon} $.
Fei Hou, Bin Chen
doaj   +1 more source

Fourier coefficients associated with the Riemann zeta-function

Karpatsʹkì Matematičnì Publìkacìï, 2016
We study the Riemann zeta-function $\zeta(s)$ by a Fourier series method. The summation of $\log|\zeta(s)|$ with the kernel $1/|s|^{6}$ on the critical line $\mathrm{Re}\; s = \frac{1}{2}$ is the main result of our investigation.
Yu.V. Basiuk, S.I. Tarasyuk
doaj   +1 more source

Table of Fourier Coefficients

Journal of Mathematics and Physics, 1943
Koeffizienten bezüglich \(x^k\) für \(k = 0\,(1)\,10\) und \(n = 1\,(1)\,100\) mit 10 D.
Lowan, Arnold N., Laderman, Jack
openaire   +3 more sources

Momentum anisotropies in the quark coalescence model [PDF]

, 2004
Based on the quark coalescence model, we derive relations among the momentum anisotropies of mesons and baryons in relativistic heavy ion collisions from a given, but arbitrary azimuthal distribution for the partons.
Che Ming Ko, Lie-Wen Chen, P. F. Kolb, Peter F. Kolb, Vincenzo Greco   +4 more
core   +1 more source

On the Existence and Uniqueness of Global Solutions for the KdV Equation with Quasi-Periodic Initial Data [PDF]

, 2015
We consider the KdV equation $$ \partial_t u +\partial^3_x u +u\partial_x u=0 $$ with quasi-periodic initial data whose Fourier coefficients decay exponentially and prove existence and uniqueness, in the class of functions which have an expansion with ...
Damanik, David, Goldstein, Michael
core   +1 more source

Changing Signs of Fourier Coefficients [PDF]

Pacific Journal of Mathematics, 1965
In this chapter we shall be concerned with some remarkable facts concerning not one Fourier series $$ \sum\limits_{{{\text{n}} \in {\text{Z}}}} {\hat{f}(n){e^{{{\text{inx}}}}}}, $$ but rather “most” series $$ \sum\limits_{{{\text{n}} \in {\text{Z}}}} {\pm \hat{f}(n){e^{{{\text{inx}}}}}} $$ of the family obtained by making random changes ...
openaire   +4 more sources

Fourier coefficients and growth of harmonic functions

International Journal of Mathematics and Mathematical Sciences, 1987
We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its ...
A. fryant, H. Shankar
doaj   +1 more source