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