Results 21 to 30 of about 149,311 (233)

A Family of Generalized Legendre-Based Apostol-Type Polynomials

open access: yesAxioms, 2022
Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields.
Talha Usman   +3 more
doaj   +1 more source

Totally positive matrices and dilogarithm identities

open access: yes, 2018
We show that two involutions on the variety $N_n^+$ of upper triangular totally positive matrices are related, on the one hand, to the tetrahedron equation and, on the other hand, to the action of the symmetric group $S_3$ on some subvariety of $N_n ...
Bytsko, Andrei, Volkov, Alexander
core   +1 more source

Vertex operators, solvable lattice models and metaplectic Whittaker functions

open access: yes, 2020
We show that spherical Whittaker functions on an $n$-fold cover of the general linear group arise naturally from the quantum Fock space representation of $U_q(\widehat{\mathfrak{sl}}(n))$ introduced by Kashiwara, Miwa and Stern (KMS).
Brubaker, Ben   +3 more
core   +1 more source

Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials

open access: yesMathematics, 2023
A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions.
Mohra Zayed   +2 more
doaj   +1 more source

New identities for sessile drops

open access: yes, 2014
A new set of mathematical identities is presented for axi-symmetric sessile drops on flat and curved substrates. The geometrical parameters, including the apex curvature and height, and the contact radius, are related by the identities.
Fatollahi, Amir H.   +2 more
core   +1 more source

Notes on Semiprime Ideals with Symmetric Bi-Derivation

open access: yesAxioms
In this paper, we prove many algebraic identities that include symmetric bi-derivation in rings which contain a semiprime ideal. We intend to generalize previous results obtained for semiprime rings with symmetric derivation using semiprime ideals in ...
Ali Yahya Hummdi   +3 more
doaj   +1 more source

Some New Identities on the Bernoulli and Euler Numbers

open access: yesDiscrete Dynamics in Nature and Society, 2011
We give some new identities on the Bernoulli and Euler numbers by using the bosonic p-adic integral on Zp and reflection symmetric properties of Bernoulli and Euler polynomials.
Dae San Kim   +4 more
doaj   +1 more source

Schwarz-Sen duality made fully local [PDF]

open access: yes, 2000
Duality symmetric electromagnetic action a la Schwarz-Sen is shown to appear naturally in a chain of equivalent actions which interchange equations of motion with Bianchi identities.
Deser, Deser, R.L. Pakman, Schwarz
core   +2 more sources

Degenerate Lah–Bell polynomials arising from degenerate Sheffer sequences

open access: yesAdvances in Difference Equations, 2020
Umbral calculus is one of the important methods for obtaining the symmetric identities for the degenerate version of special numbers and polynomials. Recently, Kim–Kim (J. Math. Anal. Appl.
Hye Kyung Kim
doaj   +1 more source

In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS

open access: yesFEBS Letters, EarlyView.
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka   +11 more
wiley   +1 more source

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