Results 111 to 120 of about 575,831 (281)
A Non-Standard Generating Function for Continuous Dual $q$-Hahn polynomials
Revista de Matemática: Teoría y Aplicaciones, 2011 We study a non-standard form of generating function for the three-parameter continuous dual q-Hahn polynomials $p_{n} (x; a, b, | q)$, which has surfaced in a recent work of the present authors on the construction of lifting $q$-difference operators in ...
Mesuma Atakishiyeva, Natig Atakishiyev
doaj +1 more source
Schubert polynomial expansions revisited [PDF]
arXivWe give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial_i=\mathrm{id}$ on polynomials with no constant term. This in particular recovers the pipe dream and slide polynomial expansions.
arxiv
Degenerate Changhee numbers and polynomials of the second kind [PDF]
arXiv, 2017 In this paper, we consider the degenerate Changhee numbers and polynomials of the second kind which are different from the previously introduced degenerate Changhee numbers and polynomials by Kwon-Kim-Seo (see [11]). We investigate some interesting identities and properties for these numbers and polynomials.
arxiv
Advanced Materials Technologies, EarlyView.In this work, a methodology is presented for the design, fabrication and characterization of soft–hard interfaces consisting of extremely soft hydrogel biomaterials, and much harder rigid polymeric biomaterials. This approach enables the production of interfaces with performances close to predicted values, with applications in biomaterial fabrication ...
L.B. Kunkels +8 more
wiley +1 more source
Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials
Applied Mathematics in Science and EngineeringThis article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
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Transforming Room Acoustics with Causality‐Driven Dual‐Function Passive Metamaterials
Advanced Materials Technologies, EarlyView.This work presents an dual acoustic metamaterial for rooms that achieves excellent broadband performance for both sound absorption and sound diffusion. This is done by using causality formulations linking the absorption of the passive system to its volume, yielding an optimal surface area ratio required for excellent sound absorption and while ...
Eric Ballestero +5 more
wiley +1 more source
Results on the uniqueness of difference polynomials of entire functions
Revista de Matemática: Teoría y Aplicaciones, 2015 In this paper, we study the uniqueness of two difference polynomials of entire functions sharing one value, polynomial and small function. Our results of this paper are improvement of the previous theorems given by Chen and Chen [2], Liu, Liu and Cao [22]
Hua Wang, Hong Yan Xu
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Surveys in Approximation Theory, 1 (2005), 70-125, 2005 In this survey, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed. Orthogonal polynomials on the unit circle are not discussed.
arxiv
A Difference Property for Polynomials and Exponential Polynomials on Abelian Locally Compact Groups [PDF]
, 1965 F. W. Carroll
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Progress in Surface Plasmon and Other Resonance Biosensors for Biomedical Applications
Advanced Materials Technologies, EarlyView.This is the shortened version: Recent advancements in surface plasmon resonance and other optical resonance biosensors for biomedical applications are presented. Advanced sensing strategies are examined for the detection of diverse analytes, integration of nanomaterials and machine learning, and emerging nonplasmonic modes like guided mode resonance ...
Faten Bashar Kamal Eddin +8 more
wiley +1 more source