Results 1 to 10 of about 2,965,267 (283)

A New Representation of the k-Gamma Functions

open access: yesMathematics, 2019
The products of the form z ( z + l ) ( z + 2 l ) … ( z + ( k − 1 ) l ) are of interest for a wide-ranging audience. In particular, they frequently arise in diverse situations, such as computation of Feynman integrals ...
Asifa Tassaddiq
doaj   +3 more sources

Secondary Functions and Interpretative Representation [PDF]

open access: yesАктуальные проблемы филологии и педагогической лингвистики, 2023
The article deals with the phenomenon of secondary functions as the basis of interpretative representation, which involves the objectification of a set of meanings by a language unit with a negative evaluative focus.
Liudmila A. Furs
doaj   +1 more source

Spectral representation of Matsubara n-point functions: Exact kernel functions and applications

open access: yesSciPost Physics, 2023
In the field of quantum many-body physics, the spectral (or Lehmann) representation simplifies the calculation of Matsubara $n$-point correlation functions if the eigensystem of a Hamiltonian is known.
Johannes Halbinger, Benedikt Schneider, Björn Sbierski
doaj   +1 more source

Function in Device Representation [PDF]

open access: yesEngineering with Computers, 2000
We explore the meanings of the terms ‘structure’, ‘behaviour’, and, especially, ‘function’ in engineering practice. Computers provide great assistance in calculation tasks in engineering practice, but they also have great potential for helping with reasoning tasks. However, realising this vision requires precision in representing engineering knowledge,
B. Chandrasekaran 0001   +1 more
openaire   +1 more source

On the Vector Representation of Characteristic Functions

open access: yesStats, 2023
Based upon the vector representation of complex numbers and the vector exponential function, we introduce the vector representation of characteristic functions and consider some of its elementary properties such as its polar representation and a vector ...
Wolf-Dieter Richter
doaj   +1 more source

Representation of standard Liebchtz functions under a microscope [PDF]

open access: yesمجلة التربية والعلم, 2012
The aim of this paper is to provide a representation of a standard lipschitzian functions by mean of a microscope. More precisely, under certain conditions, the following results have been obtained.
Taher Ismail, Hind Saleh
doaj   +1 more source

On additive representation functions [PDF]

open access: yesInternational Journal of Number Theory, 2015
Let 𝒜 = {a1 < a2 < a3 < ⋯ < an < ⋯} be an infinite sequence of nonnegative integers and let R2(n) = |{(i, j) : ai + aj = n; ai, aj ∈ 𝒜; i ≤ j}|. We define [Formula: see text]. We prove that if the L∞-norm of [Formula: see text] is small, then the L1-norm of [Formula: see text] is large.
Balasubramanian, R., Giri, Sumit
openaire   +2 more sources

Multipoint Correlation Functions: Spectral Representation and Numerical Evaluation

open access: yesPhysical Review X, 2021
The many-body problem is usually approached from one of two perspectives: the first originates from an action and is based on Feynman diagrams, the second is centered around a Hamiltonian and deals with quantum states and operators.
Fabian B. Kugler   +2 more
doaj   +1 more source

A representation of Jacobi functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
Recently, the continuous Jacobi transform and its inverse are defined and studied in [1] and [2]. In the present work, the transform is used to derive a series representation for the Jacobi functions Pλ(α,β)(x), −½≤α, β≤½, α+β=0, and λ≥−½. The case α=β=0
E. Y. Deeba, E. L. Koh
doaj   +1 more source

Representation of some special functions on transcendence basis

open access: yesTạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2020
The special functions such as multiple harmonic sums, polyzetas or multiple polylogarithm functions are compatible with quasi-shuffle algebras. By using transcendence bases of the quasi-shuffle algebras studied in the paper [4], we will express non ...
Bui Van Chien
doaj   +1 more source

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