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Abel-Rothe Type Generalizations of Jacobi's Triple Product Identity [PDF]

open access: yes, 2005
14 pages, mistake in appendix corrected; to appear in "Theory and Applications of Special Functions, A volume dedicated to Mizan Rahman", M. E. H. Ismail and E.
openaire   +3 more sources

On general series-product identities [PDF]

open access: yes, 2013
[[abstract]]We derive the general series-product identities from which we deduce several applications, including an identity of Gauss, the generalization of Winquist's identity by Carlitz and Subbarao, an identity for , the quintuple product identity ...
Chen, Sin-Da; Huang, Sen-Shan
core  

Chebyshev Smoothing With Adaptive Block‐FSAI Preconditioners for the Multilevel Solution of Higher‐Order Problems With the Partition of Unity Method

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio   +1 more
wiley   +1 more source

Jacobi's Werke

open access: yes
Vorlageform der Veröffentlichungsangabe: Zürich, bey Orell, Füßli und CompagnieIn ...
Jacobi, Johann Georg
core   +5 more sources

Removal of Perfluorooctanoic Acid (PFOA) in Water Using a Multi‐Pin Over Liquid Dielectric Barrier Discharge Reactor

open access: yesPlasma Processes and Polymers, Volume 23, Issue 6, June 2026.
Limited PFOA degradation was observed under non‐thermal plasma treatment alone. When coupled with Fe‐functionalized activated carbon, a broader distribution of degradation products was detected. Although more research is needed to establish mechanistic impacts and treatment performance, this hybrid configuration represents an air‐fed plasma–carbon ...
Prisca Stéphanie Kandjo Ngoubeyou   +6 more
wiley   +1 more source

Identities for Analogous Ramanujan's Functions by Jacobi's Triple Product Identity

open access: yesAmerican Journal of Mathematics and Statistics, 2012
From a continued fraction analogous to Rogers-Ramanujan continued fraction we have theta functions analogous to Ramanujan’s functions G(q) and H(q). We find certain identities for these analogous theta functions using Jacobi’s triple product identity, thus having a unified approach. We also find some modular equations.
openaire   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Deforming the Double‐Scaled SYK and Reaching the Stretched Horizon From Finite Cutoff Holography

open access: yesFortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We study the properties of the double‐scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a lower‐dimensional analog of TT¯(+Λ2)$\text{T}\overline{\text{T}}(+\Lambda _2)$ deformations, denoted T2 ...
Sergio E. Aguilar‐Gutierrez
wiley   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

EVSS‐Based Simulation Techniques for the Viscoelastic Fluids With Pure Polymer Melts Using Three‐Field Approach

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.
This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley   +1 more source

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