Results 21 to 30 of about 3,568,332 (307)
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
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On the Behavior of the Fourier Coefficients [PDF]
Proceedings of the American Mathematical Society, 1963 )= r(3 + 1)t-(t), A3> 1, and define T'Ia(t), a(t) ?a(t) and Ga(t) in a similar way. 1.2. In 1930 it was proved by Bosanquet [3] that if 4a(t) )0, as t->O, for ax>0, then the Fourier series of f(6), at 0=x, is summable (C, ax+6) for every 8>0. This result however breaks down for 5=0 [15].
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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
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Discrete Fourier transform and permutations [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019 It is well known that the magnitudes of the coefficients of the discrete Fourier transform (DFT) are invariant under certain operations on the input data. In this paper, the effects of rearranging the elements of an input data on its DFT are studied.
S. Hui, S.H. Żak
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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
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Two-point boundary value problem for a partial differential equation in spaces of periodic functions
Математичні Студії, 2020 We investigate the two-point in time boundary value problem for the partial differential equations of the second-order with one spatial variable and constant coefficients. The problem is considered in in the spaces of functions which Fourier coefficients
V.S. Ilkiv +3 more
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A method to derive Fourier–wavelet spectra for the characterization of global-scale waves in the mesosphere and lower thermosphere and its MATLAB and Python software (fourierwavelet v1.1) [PDF]
Geoscientific Model Development, 2023 This paper describes a simple method for characterizing global-scale waves in the mesosphere and lower thermosphere (MLT), such as tides and traveling planetary waves, using uniformly gridded two-dimensional longitude–time data.
Y. Yamazaki
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Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $f$ be an entire function of order $\rho\in (0,+\infty)$ with zeros on a finite system of rays $\{z: \arg z=\psi_{j}\}$, $j\in\{1,\ldots,m\}$, $0\le ...
R.V. Khats'
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Petersson products of bases of spaces of cusp forms and estimates for Fourier coefficients [PDF]
International Journal of Number Theory, 2016 We prove a bound for the Fourier coefficients of a cusp form of integral weight which is not a newform by computing an explicit orthogonal basis for the space of cusp forms of given integral weight and level.
R. Schulze-Pillot, Abdullah Yenirce
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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
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