Zobrazeno 1 - 10
of 281
pro vyhledávání: '"44a20"'
Mellin-Barnes integral representation of one-loop off-shell box massless diagram is five-fold by construction. On the other hand, it is known from the year 1992 that it may be reduced to certain two-fold MB integral. We propose a way to reduce the nu
Externí odkaz:
http://arxiv.org/abs/2412.13512
Integral representations of two $q$-difference operators are provided in terms of special functions arising in the theory of asymptotic solutions to $q$-difference equations in the complex domain. Both representations are unified through the so-calle
Externí odkaz:
http://arxiv.org/abs/2412.10938
Autor:
Szabó, V. E. Sándor
We give simpler proof of known theorems, extend the validity of them, generalize them, correct some erroneous results, and prove some new results.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/2411.17670
Autor:
Hang, Peng-Cheng
Recently, Hang and Luo (2024) used an elementary approach to derive the leading asymptotic behavior of the Humbert function $\Psi_1[a,b;c,c';x,y]$ when $x\to\infty$ and $y\to +\infty$. In this paper, we give detailed asymptotic analyses of $\Psi_1$ w
Externí odkaz:
http://arxiv.org/abs/2410.21985
Autor:
Dziubański, Jacek, Hejna, Agnieszka
Let $\{P_t\}_{t>0}$ be the Dunkl-Poisson semigroup associated with a root system $R\subset \mathbb R^N$ and a multiplicity function $k\geq 0$. Analogously to the classical theory, we say that a bounded measurable function $f$ defined on $\mathbb R^N$
Externí odkaz:
http://arxiv.org/abs/2408.12399
The study of probability distributions for random variables and their algebraic combinations has been a central focus driving the advancement of probability and statistics. Since the 1920s, the challenge of calculating the probability distributions o
Externí odkaz:
http://arxiv.org/abs/2407.14554
The spherical mean transform associates to a function $f$ its integral averages over all spheres. We consider the spherical mean transform for functions supported in the unit ball $\mathbb{B}$ in $\mathbb{R}^n$ for odd $n$, with the centers of integr
Externí odkaz:
http://arxiv.org/abs/2406.15815
Autor:
Milgram, Michael, Hughes, Roy
Here, we study both analytically and numerically, an integral $Z(\sigma,r)$ related to the mean value of a generalized moment of Riemann's zeta function. Analytically, we predict finite, but discontinuous values and verify the prediction numerically,
Externí odkaz:
http://arxiv.org/abs/2405.16429
Recently, \"Ozarslan and Elidemir (2023) introduced a methodology for constructing two-variable biorthogonal polynomial families with the help of one-variable biorthogonal and orthogonal polynomial families. The primary objective of the paper is to i
Externí odkaz:
http://arxiv.org/abs/2405.15043
We consider Riesz energy problems with radial external fields. We study the question of whether or not the equilibrium is the uniform distribution on a sphere. We develop general necessary as well as general sufficient conditions on the external fiel
Externí odkaz:
http://arxiv.org/abs/2405.00120