Results 41 to 50 of about 84,466 (284)

Analysis of Generalized Bessel–Maitland Function and Its Properties

open access: yesAxioms, 2023
In this article, we introduce the generalized Bessel–Maitland function (EGBMF) using the extended beta function and some important properties obtained.
Talha Usman   +2 more
doaj   +1 more source

Parabolic Whittaker Functions and Topological Field Theories I

open access: yes, 2010
First, we define a generalization of the standard quantum Toda chain inspired by a construction of quantum cohomology of partial flags spaces GL(\ell+1)/P, P a parabolic subgroup. Common eigenfunctions of the parabolic quantum Toda chains are generalized
Gerasimov, Anton   +2 more
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

Whittaker's Constant for Lacunary Entire Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1963
be an entire function of exponential type r < oo. We are concerned here with two problems which are closely related to the determination of Whittaker's constant, that is to say, with theorems to the effect that if f(z) and each of its derivatives have some zeros in the unit circle then r cannot be too small. DEFINITION 1. The constant Wp is the largest
openaire   +1 more source

Weyl modules and $$q$$ q -Whittaker functions

open access: yesMathematische Annalen, 2013
Let G be a semi-simple simply connected group over complex numbers. In this paper we give a geometric definition of the (dual) Weyl modules over the group G[t] and show that their characters form an eigen-function of the lattice version of the q-Toda integrable integrable system (defined by means of the quantum group version of Kostant-Whittaker ...
Braverman, Alexander   +1 more
openaire   +2 more sources

Whittaker coefficients of geometric Eisenstein series

open access: yesForum of Mathematics, Sigma
Geometric Langlands predicts an isomorphism between Whittaker coefficients of Eisenstein series and functions on the moduli space of $\check {N}$ -local systems.
Jeremy Taylor
doaj   +1 more source

Baxter operator and Archimedean Hecke algebra [PDF]

open access: yes, 2007
In this paper we introduce Baxter integral Q-operators for finite-dimensional Lie algebras gl(n+1) and so(2n+1). Whittaker functions corresponding to these algebras are eigenfunctions of the Q-operators with the eigenvalues expressed in terms of Gamma ...
Gerasimov, A., Lebedev, D., Oblezin, S.
core   +4 more sources

Poly(lactic‐co‐glycolic acid) Nanoparticles for IL‐12 Self‐Amplifying RNA Delivery in Glioblastoma Models

open access: yesAdvanced Functional Materials, EarlyView.
xxxx. ABSTRACT Glioblastoma (GBM) remains one of the most lethal brain cancers, with median survival rarely exceeding 15 months after diagnosis. Interleukin‐12 (IL‐12) is a potent immunostimulatory cytokine capable of reshaping the tumor microenvironment (TME), yet its clinical translation is hindered by systemic toxicity and short half‐life. RNA‐based
Fatima Hameedat   +11 more
wiley   +1 more source

Crystal constructions in Number Theory

open access: yes, 2018
Weyl group multiple Dirichlet series and metaplectic Whittaker functions can be described in terms of crystal graphs. We present crystals as parameterized by Littelmann patterns and we give a survey of purely combinatorial constructions of prime power ...
A Berenstein   +36 more
core   +1 more source

Using a Zero‐Strain Reference Electrode to Distinguish Anode and Cathode Volume Changes in a Solid‐State Battery

open access: yesAdvanced Materials Interfaces, EarlyView.
Volume changes of a solid‐state battery cell are separated into the individual contributions of anode and cathode. Simultaneously determining the “reaction volumes” of both electrodes requires a reference electrode with a pressure‐independent potential.
Mervyn Soans   +5 more
wiley   +1 more source

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