Results 51 to 60 of about 1,210,874 (307)

A Note on the Tail Behavior of Randomly Weighted Sums with Convolution-Equivalently Distributed Random Variables

open access: yesAbstract and Applied Analysis, 2013
We investigate the tailed asymptotic behavior of the randomly weighted sums with increments with convolution-equivalent distributions. Our obtained result can be directly applied to a discrete-time insurance risk model with insurance and financial risks ...
Yang Yang, Jun-feng Liu, Yu-lin Zhang
doaj   +1 more source

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

Bernoulli Polynomials and Convolution Sums [PDF]

open access: yesBritish Journal of Mathematics & Computer Science, 2014
In this paper, we study the summations ∑ (a,b,c)∈N a+b+c=n (f(a+ b) + f(b+ c) + f(c+ a)) and ∑ (a,b,c,d)∈N a+b+c+d=n (f(a+ b+ c) + f(b+ c+ d) + f(c+ d+ a)). Especially, for the first summation we obtain some relations related to Bernoulli and Euler polynomials.
openaire   +2 more sources

On moments of twisted $L$-functions [PDF]

open access: yes, 2016
We study the average of the product of the central values of two $L$-functions of modular forms $f$ and $g$ twisted by Dirichlet characters to a large prime modulus $q$.
Blomer, Valentin   +4 more
core   +1 more source

Approximation on the sphere by weighted Fourier expansions

open access: yesJournal of Applied Mathematics, 2005
The main theme of this paper is the approximation on the sphere by weighted sums of spherical harmonics. We give necessary and sufficient conditions on the weights for convergence in both the continuous and the LP cases.
V. A. Menegatto, A. C. Piantella
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

Moments of zeta and correlations of divisor-sums: III [PDF]

open access: yes, 2015
In this series we examine the calculation of the $2k$th moment and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet polynomials and divisor correlations.
Conrey, Brian, Keating, Jonathan P.
core   +2 more sources

New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator

open access: yesAbstract and Applied Analysis, 2013
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we consider two subclasses and of multivalent analytic functions with negative coefficients in the open unit disk. Some modified Hadamard products,
Ding-Gong Yang, Jin-Lin Liu
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

Evaluation of the convolution sums ∑al+bm=n lσ(l) σ(m) with ab ≤ 9

open access: yesOpen Mathematics, 2017
The generating functions of divisor functions are quasimodular forms of weight 2 and their products belong to a space of quasimodular forms of higher weight.
Park Yoon Kyung
doaj   +1 more source

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