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In this work we discuss the connection between Feynman integrals and Fox functions. Illustrative examples are given.

高能物理 - 唯象学 · 物理学 2024-05-30 Giampiero Passarino

We give an exposition of fragments from Gauss [G] where he discovered, with the help of some work of Jacobi, a remarkable connection between Napier pentagons on the sphere and Poncelet pentagons on the plane. As a corollary we find a…

代数几何 · 数学 2011-06-21 Vadim Schechtman

The theory of contractions of multivectors, and star duality, was reorganized in a previous article, and here we present some applications. First, we study inner and outer spaces associated to a general multivector $M$ via the equations $v…

综合数学 · 数学 2024-10-30 André L. G. Mandolesi

The coadjoint orbit action for a multifermion system, as an exact description of its dynamics, is considered. A parametrization of the variables involved is given which facilitates the approximation of this by another coadjoint orbit action…

高能物理 - 理论 · 物理学 2026-04-21 V. P. Nair

In this paper, we mainly study the order of $q$-starlikeness of the well-known basic hypergeometric function. In addition, we obtain the Bieberbach-type problem for a generalized class of starlike functions. We also discuss the…

复变函数 · 数学 2018-09-11 Sarita Agrawal

In this paper the spherical quasi-convexity of quadratic functions on spherically convex sets is studied. Several conditions characterizing the spherical quasi-convexity of quadratic functions are presented. In particular, conditions…

最优化与控制 · 数学 2018-04-10 O. P. Ferreira , S. Z. Németh , L. Xiao

I review (1) Physics of Star Formation & Open Questions; (2) Structure & Dynamics of Star-Forming Clouds & Young Clusters; (3) Star Formation Rates: Observations & Theoretical Implications.

星系天体物理 · 物理学 2016-06-01 Jonathan C. Tan

In this paper we introduce new modules over the ring of ponderation functions, so we recover old results in harmonic analysis from the side of ring theory. Moreover, we prove that Laplace transform, Fourier transform and Hankel transform…

环与代数 · 数学 2019-04-01 Miloud Assal , Nasr A. Zeyada

Let $D$ be an integral domain with quotient field $K$. The $b$-operation that associates to each nonzero $D$-submodule $E$ of $K$, $E^b := \bigcap\{EV \mid V valuation overring of D\}$, is a semistar operation that plays an important role…

交换代数 · 数学 2011-05-18 Marco Fontana , Giampaolo Picozza

Jacobi theta functions with rational characteristics can be viewed as vector-valued Jacobi forms. Theta relations usually correspond to different constructions of certain Jacobi forms. From this observation, we extract a new approach, which…

数论 · 数学 2023-12-22 Valery Gritsenko , Haowu Wang

We study meromorphic functions in a strip almost periodic with respect to the spherical metric. Then we get a complete description of zeros and poles for this class of functions, find a condition for a meromorphic almost periodic function…

复变函数 · 数学 2007-05-23 S. Favorov , N. Parfyonova

This is an overview of nuclear star cluster observations, covering their structure, stellar populations, kinematics and possible connection to black holes at the centers of galaxies.

宇宙学与河外天体物理 · 物理学 2012-11-09 Nadine Neumayer

Two types of recurrence sets are introduced for inverse semigroup partial actions in topological spaces. We explore their connections with similar notions for related types of imperfect symmetries (prefix inverse semigroup expansions,…

动力系统 · 数学 2021-02-17 Marius Mantoiu

This article gives necessary and sufficient conditions for the dual representation of Rockafellar in (Integrals which are convex functionals. II, Pacific J. Math., 39:439--469, 1971) for integral functionals on the space of continuous…

泛函分析 · 数学 2017-01-16 Ari-Pekka Perkkiö

In this note we describe some results concerning upper and lower bounds for the Jensen functional. We use several known and new results to shed light on the concepts of superterzatic functions.

经典分析与常微分方程 · 数学 2016-05-13 Flavia-Corina Mitroi-Symeonidis

A family of Zeta functions built as Dirichlet series over the Riemann zeros are shown to have meromorphic extensions in the whole complex plane, for which numerous analytical features (the polar structure, plus countably many special…

复变函数 · 数学 2015-07-10 A. Voros

We give a natural generalization of the classification of commutative rings of ordinary differential operators, given in works of Krichever, Mumford, Mulase, and determine commutative rings of operators in a completed ring of partial…

代数几何 · 数学 2016-03-03 A. B. Zheglov

We present a new approach to semi-inclusive hard processes in QCD by means of $\it Fracture\;Functions$, hybrids between structure and fragmentation functions. We briefly motivate and describe it together with a list of possible…

高能物理 - 唯象学 · 物理学 2009-10-28 L. Trentadue

Using the complete orthonormal basis sets of nonrelativistic and quasirelativistic orbitals introduced by the author in previous papers for particles with arbitrary spin the new analytical relations for the -component relativistic tensor…

化学物理 · 物理学 2007-12-27 I. I. Guseinov

We describe holomorphic functions and fractional powers of Ces\'{a}ro operators in $L^2(\mathbb{R})$, $L^2(\mathbb{R}_+)$, and $L^2[0,1]$. Logarithms of Ces\'{a}ro operators are introduced as well and their spectral properties are studied.…

泛函分析 · 数学 2024-11-26 Adolf Mirotin