Zobrazeno 1 - 10
of 103
pro vyhledávání: '"33E99"'
Autor:
Yasmin, Ghazala, Sharma, Aditi
The "2-variable general-$\lambda$-matrix polynomials (2VG$\lambda$MP)" is a new family of matrix polynomials, introduced and studied in this article. These matrix polynomials are constructed using umbral and symbolic methods. We delve into the genera
Externí odkaz:
http://arxiv.org/abs/2412.00844
We study the function $\varphi_1$ of minimal $L^1$ norm among all functions $f$ of exponential type at most $\pi$ for which $f(0)=1$. This function, first studied by H\"{o}rmander and Bernhardsson in 1993, has only real zeros $\pm \tau_n$, $n=1,2, \l
Externí odkaz:
http://arxiv.org/abs/2407.00970
Entropic Value-at-Risk (EVaR) measure is a convenient coherent risk measure. Due to certain difficulties in finding its analytical representation, it was previously calculated explicitly only for the normal distribution. We succeeded to overcome thes
Externí odkaz:
http://arxiv.org/abs/2403.01468
Autor:
Neretin, Yury A.
Considering the Weierstrass product for the entire function $\sin \pi x$ and taking half of the factors corresponding to non-positive roots, we obtain the function $1/\Gamma(x)$. Considering the Weierstrass product for the Jacobi theta function $\var
Externí odkaz:
http://arxiv.org/abs/2402.07740
Autor:
Miyamoto, Roland
The iterates $h_0,h_1,h_2,\dotsc$ constructed in [8,5] and converging to the only solution $g=h\colon[0,1]\to[0,1]$ of the iterative differential equation $-\gamma g'= g^{-1}$, $\gamma>0$, are parametrised by polynomials over $\Bbb Q$, and the corres
Externí odkaz:
http://arxiv.org/abs/2402.06618
Autor:
Arvesú, J., Ramírez-Aberasturis, A. M.
Publikováno v:
Integral Transforms and Special Functions, 32:5-8, (2021) 361-376
We study a family of type II multiple orthogonal polynomials. We consider orthogonality conditions with respect to a vector measure, in which each component is a q-analogue of the binomial distribution. The lowering and raising operators as well as t
Externí odkaz:
http://arxiv.org/abs/2402.00768
In this article, we obtain the explicit expression of the Casimir energy for 2-dimensional Clifford-Klein space forms in terms of the geometrical data of the underlying spacetime with the help of zeta-regularization techniques. The spacetime is geome
Externí odkaz:
http://arxiv.org/abs/2311.03331
We have solved a number of holonomic PDEs derived from the Bessel modules which are related to the generating functions of classical Bessel functions and the difference Bessel functions recently discovered by Bohner and Cuchta. This $D$-module approa
Externí odkaz:
http://arxiv.org/abs/2303.15496
Autor:
Sun, Zhi-Hong
If $f(x,y)$ is a real function satisfying $y>0$ and $\sum_{r=0}^{n-1}f(x+ry,ny)=f(x,y)$ for $n=1,2,3,\ldots$, we say that $f(x,y)$ is an invariant function. Many special functions including Bernoulli polynomials, Gamma function and Hurwitz zeta funct
Externí odkaz:
http://arxiv.org/abs/2209.14625
Autor:
Kotesovec, Vaclav
The exponential generating function for the sequence A143405 in the OEIS is exp(exp(x)*(exp(x) - 1)). This paper analyzes the more general generating function exp(m*exp(b*x) + r*exp(d*x) + s) and provides asymptotics for the sequences A143405, A35529
Externí odkaz:
http://arxiv.org/abs/2207.10568