Results 1 to 10 of about 51,880 (308)

On the Relation Between Fourier Frequency and Period for Discrete Signals, and Series of Discrete Periodic Complex Exponentials

open access: yesIEEE Open Journal of Signal Processing, 2021
Discrete complex exponentials are almost periodic signals, not always periodic; when periodic, the frequency determines the period, but not viceversa, the period being a chaotic function of the frequency, expressible in terms of Thomae's function.
Alfredo Restrepo   +2 more
doaj   +1 more source

Pascu-Rønning Type Meromorphic Functions Based on Sălăgean-Erdély–Kober Operator

open access: yesAxioms, 2023
In the present investigation, we introduce a new class of meromorphic functions defined in the punctured unit disk Δ*:={ϑ∈C ...
Sheza M. El-Deeb   +3 more
doaj   +1 more source

Differentiation of the Mittag-Leffler Functions with Respect to Parameters in the Laplace Transform Approach

open access: yesMathematics, 2020
In this work, properties of one- or two-parameter Mittag-Leffler functions are derived using the Laplace transform approach. It is demonstrated that manipulations with the pair direct–inverse transform makes it far more easy than previous methods to ...
Alexander Apelblat
doaj   +1 more source

A New Identity Involving the Chebyshev Polynomials

open access: yesMathematics, 2018
In this paper, firstly, we introduced a second order non-linear recursive sequence, then we use this sequence and the combinatorial methods to perform a deep study on the computational problem concerning one kind sums, which includes the Chebyshev ...
Yixue Zhang, Zhuoyu Chen
doaj   +1 more source

Some Janowski Type Harmonic q-Starlike Functions Associated with Symmetrical Points

open access: yesMathematics, 2020
The motive behind this article is to apply the notions of q-derivative by introducing some new families of harmonic functions associated with the symmetric circular region. We develop a new criterion for sense preserving and hence the univalency in terms
Muhammad Arif   +4 more
doaj   +1 more source

Classes of Meromorphic Functions Defined by the Hadamard Product

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution).
J. Dziok
doaj   +1 more source

Sharp $L^1$ Inequalities for Sup-Convolution

open access: yesDiscrete Analysis, 2023
Sharp $L^1$ Inequalities for Sup-Convolution, Discrete Analysis 2023:7, 16 pp. Let $f$ and $g$ be two real-valued functions defined on a compact convex subset $C$ of $\mathbb R^k$.
Hunter Spink   +2 more
doaj   +1 more source

On a convolution series attached to a Siegel Hecke cusp form of degree 2

open access: yes, 2013
We prove that the "naive" convolution Dirichlet series D_2(s) attached to a degree 2 Siegel Hecke cusp form F, has a pole at s=1. As an application, we write down the asymptotic formula for the partial sums of the squares of the eigenvalues of $F$ with ...
Das, Soumya   +2 more
core   +1 more source

Weighted Sum of Correlated Lognormals: Convolution Integral Solution [PDF]

open access: yes, 2011
Probability density function (pdf) for sum of n correlated lognormal variables is deducted as a special convolution integral. Pdf for weighted sums (where weights can be any real numbers) is also presented.
Nagy, Tamás
core  

An inequality for the distance between densities of free convolutions

open access: yes, 2013
This paper contributes to the study of the free additive convolution of probability measures. It shows that under some conditions, if measures $\mu_i$ and $\nu_i, i=1,2$, are close to each other in terms of the L\'{e}vy metric and if the free convolution
Kargin, V.
core   +1 more source

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