Relevant bibliographies by topics / Q-Analogs

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Q-Analogs'

Author: Grafiati
Published: 11 January 2025

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Journal articles on the topic "Q-Analogs"

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Al-Omari, Shrideh, Wael Salameh, and Hamzeh Zureigat. "Convolution Theorem for p,q-Gamma Integral Transforms and Their Application to Some Special Functions." Symmetry 16, no. 7 (2024): 882. http://dx.doi.org/10.3390/sym16070882.

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This article introduces (p,q)-analogs of the gamma integral operator and discusses their expansion to power functions, (p,q)-exponential functions, and (p,q)-trigonometric functions. Additionally, it validates other findings concerning (p,q)-analogs of the gamma integrals to unit step functions as well as first- and second-order (p,q)-differential operators. In addition, it presents a pair of (p,q)-convolution products for the specified (p,q)-analogs and establishes two (p,q)-convolution theorems.
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Sagan, Bruce E. "Congruence properties of q-analogs." Advances in Mathematics 95, no. 1 (1992): 127–43. http://dx.doi.org/10.1016/0001-8708(92)90046-n.

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Braun, Michael, and Jan Reichelt. "q-Analogs of Packing Designs." Journal of Combinatorial Designs 22, no. 7 (2013): 306–21. http://dx.doi.org/10.1002/jcd.21376.

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Al-Omari, Shrideh, та Wael Salameh. "On (p,q)-Analogs of the α-th Fractional Fourier Transform and Some (p,q)-Generalized Spaces". Symmetry 16, № 10 (2024): 1307. http://dx.doi.org/10.3390/sym16101307.

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In this article, the (p,q)-analogs of the α-th fractional Fourier transform are provided, along with a discussion of their characteristics in specific classes of (p,q)-generalized functions. Two spaces of infinitely (p,q)-differentiable functions are defined by introducing two (p,q)-differential symmetric operators. The (p,q)-analogs of the α-th fractional Fourier transform are demonstrated to be continuous and linear between the spaces under discussion. Next, theorems pertaining to specific convolutions are established. This leads to the establishment of multiple symmetric identities, which i
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Zabrocki, Michael. "q-Analogs of symmetric function operators." Discrete Mathematics 256, no. 3 (2002): 831–53. http://dx.doi.org/10.1016/s0012-365x(02)00350-3.

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Ivanov, V. N. "Interpolation Analogs of Schur Q-Functions." Journal of Mathematical Sciences 131, no. 2 (2005): 5495–507. http://dx.doi.org/10.1007/s10958-005-0422-6.

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Bergeron, Nantel, and Michael Zabrocki. "q and q,t-analogs of non-commutative symmetric functions." Discrete Mathematics 298, no. 1-3 (2005): 79–103. http://dx.doi.org/10.1016/j.disc.2004.08.044.

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Al-Omari, Shrideh, Wael Salameh, and Sharifah Alhazmi. "Some Estimates for Certain q-analogs of Gamma Integral Transform Operators." Symmetry 16, no. 10 (2024): 1368. http://dx.doi.org/10.3390/sym16101368.

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The aim of this work is to examine some q-analogs and differential properties of the gamma integral operator and its convolution products. The q-gamma integral operator is introduced in two versions in order to derive pertinent conclusions regarding the q-exponential functions. Also, new findings on the q-trigonometric, q-sine, and q-cosine functions are extracted. In addition, novel results for first and second-order q-differential operators are established and extended to Heaviside unit step functions. Lastly, three crucial convolution products and extensive convolution theorems for the q-an
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Alsoboh, Abdullah, Ala Amourah, Maslina Darus, and Carla Amoi Rudder. "Studying the Harmonic Functions Associated with Quantum Calculus." Mathematics 11, no. 10 (2023): 2220. http://dx.doi.org/10.3390/math11102220.

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Using the derivative operators’ q-analogs values, a wide variety of holomorphic function subclasses, q-starlike, and q-convex functions have been researched and examined. With the aid of fundamental ideas from the theory of q-calculus operators, we describe new q-operators of harmonic function Hϱ,χ;qγF(ϖ) in this work. We also define a new harmonic function subclass related to the Janowski and q-analog of Le Roy-type functions Mittag–Leffler functions. Several important properties are assigned to the new class, including necessary and sufficient conditions, the covering Theorem, extreme points
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Zhou, Xia, Tianxin Cai, and David M. Bradley. "Signed $q$-analogs of Tornheim's double series." Proceedings of the American Mathematical Society 136, no. 08 (2008): 2689–98. http://dx.doi.org/10.1090/s0002-9939-08-09208-3.

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Dissertations / Theses on the topic "Q-Analogs"

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Leclere, Ludivine. "q-analogues des nombres réels et des matrices unimodulaires : aspects algébriques, combinatoires et analytiques." Electronic Thesis or Diss., Reims, 2024. http://www.theses.fr/2024REIMS019.

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Ce travail est consacré à l'étude des q-analogues de nombre réels. La q-déformation d'un nombre rationnel utilisée est une fraction rationnelle à coefficients entiers qui a été introduite par Sophie Morier-Genoud et Valentin Ovsienko en 2019. Il s'agit dans un premier temps de préciser les propriétés algébriques et de donner des interprétations combinatoires des q-rationnels. On manipule les différentes notions liées aux nombres rationnels: les fractions continues, les matrices de PSL(2,Z), les continuants d'Euler, les triangulations de polygones et le graphe de Farey, et leurs versions q-défo
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Briggs, Karen Sue. "Q-analogues and P, Q-analogues of rook numbers and hit numbers and their extensions /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2003. http://wwwlib.umi.com/cr/ucsd/fullcit?p3091348.

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Ringrose, C. J. "The q-analogue of Van Der Corput's method." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.355796.

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ZELIKSON, SHMUEL. "Cristallisation et q-analogues dans la categorie o." Paris 6, 1997. http://www.theses.fr/1997PA066744.

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Nous presentons un resume rapide de la theorie de cristallisation pour les modules de dimension finie de l'algebre enveloppante quantifiee u q(g). Nous construisons d'operateurs cristallins sur les modules de verma de u q(g), ayant des proprietes de compatibilite avec la forme de shapovalov et avec la tensorisation a gauche par des modules de dimension finie, generalisant celles des operateurs cristallins sur les modules de dimension finie. En particulier, nous introduisons la classe des semi-cristaux, incluant celle des cristaux, et admettant un produit tensoriel. Les restrictions sur cette c
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Yin, Jingbin. "A q-analogue of spanning trees : nilpotent transformations over finite fields." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/50270.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Includes bibliographical references (p. 67).<br>The main result of this work is a q-analogue relationship between nilpotent transformations and spanning trees. For example, nilpotent endomorphisms on an n-dimensional vector space over Fq is a q-analogue of rooted spanning trees of the complete graph Kn. This relationship is based on two similar bijective proofs
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Gregory, James Philip. "A q-discrete Analogue of the Third Painlevé Equation and its Linear Problem." Thesis, The University of Sydney, 2016. http://hdl.handle.net/2123/15470.

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In this thesis we investigate the rational and Riccati type special solutions for particular parameter values of a q-discrete analogue of the third Painlevé equation, with rational surface A(1) 5 and affine Weyl group (A2 + A1)(1). The general solutions of this equation are highly transcendental in nature. We work closely with an associated system of discrete linear equations, which we refer to as ‘the linear problem.’We demonstrate that the linear problem can be solved both in terms of q-Gamma functions and series expansions for different parameter values of our discrete Painlevé equation. By
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Derycke, Henri. "Combinatoire dans des stabilisations du modèle du tas de sable sur la grille Z²." Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0327/document.

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Le modèle du tas de sable est un modèle de diffusion discret et isotrope introduit par les physiciens Bak, Tang et Wiesenfeld comme illustration de la criticalité auto-organisée. Pour tout graphe, souvent supposé fini, Dhar a formalisé de nombreuses propriétés simplifiant son analyse. Cette thèse propose des études de ce modèle sur la grille bidimensionnelle usuelle et certains de ses sous-graphes également infinis que sont les bandes bi-infinies de hauteur finie. Des approximations du comportement de la pile de sable peuvent se rapprocher de certains modèles de bootstrap percolation avec un s
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Gillespie, Jason Michael. "A Combinatorial Proof of the Positivity of the Lusztig q-Analogue of Weight Multiplicity for Rank 2 Lie Algebras." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/11071.

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We prove the positivity of Lusztig's q-analogue of weight multiplicity in a purely combinatorial way for rank 2 Lie algebras. Each summand in the polynomial can be interpreted as a linear combination of positive roots. We prove that all negative coefficients are cancelled in the polynomial. Further, the analysis of the root systems allows us to state formulae for every coefficient in Lusztig's q-analogue for rank 2 Lie algebras.<br>Ph. D.
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Costal, Flavia Soares Louro. "Benfotiamina e Mito Q protegem ilhotas pancreáticas de rato em cultura dos efeitos pró-apoptóticos dos produtos finais de glicação avançada (AGEs)." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/5/5135/tde-24052012-161456/.

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A perda da função das células beta acelera a deterioração do controle metabólico em pessoas com diabetes tipo 2. Além da lipo- e da glicotoxicidade, os AGEs parecem contribuir para esse processo, promovendo a apoptose das ilhotas pancreáticas. Em outros tecidos, os AGEs interagem com seu receptor específico (RAGE), produzindo espécies reativas de oxigênio (ROS) e ativando o NF-kB. Para investigar o efeito temporal dos AGEs sobre a apoptose de ilhotas, bem como o potencial de compostos antioxidantes para diminuir danos causados pelos AGEs, ilhotas pancreáticas de ratos foram tratadas durante 24
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Smith, Craig. "Quantum groups at q=0, a Tannakian reconstruction theorem for IndBanach spaces, and analytic analogues of quantum groups." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:e28b7312-3a47-473c-ac76-7d69db175309.

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This thesis is divided into the following three parts. <b>A categorical reconstruction of crystals and quantum groups at</b> q = 0. The quantum co-ordinate algebra A<sub>q</sub>(&gfr;) associated to a KacMoody Lie algebra g forms a Hopf algebra whose comodules are direct sums of finite dimensional irreducible U<sub>q</sub>(&gfr;) modules. In Part I we investigate whether an analogous result is true when q = 0. We classify crystal bases as coalgebras over a comonadic functor on the category of pointed sets and encode the monoidal structure of crystals into a bicomonadic structure. In doing this
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Books on the topic "Q-Analogs"

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Koekoek, Roelof, Peter A. Lesky, and René F. Swarttouw. Hypergeometric Orthogonal Polynomials and Their q-Analogues. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-05014-5.

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Peter, Lesky, and Swarttouw, René F. (René Franc̦ois), 1964-, eds. Hypergeometric orthogonal polynomials and their q-analogues. Springer, 2010.

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Derivation of q-analogs for the radial Schrödinger equation in N space-dimensions. Nova Science Publishers, 1997.

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Koekoek, Roelof, Peter A. Lesky, René F. Swarttouw, and Tom H. Koornwinder. Hypergeometric Orthogonal Polynomials and Their q-Analogues. Springer, 2012.

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From C-Numbers to Q-Numbers: The Classical Analogy in the History of Quantum Theory. University of California Press, 2023.

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Darrigol, Olivier. From C-Numbers to Q-Numbers: The Classical Analogy in the History of Quantum Theory. University of California Press, 2021.

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Darrigol, Olivier. From C-Numbers to Q-Numbers: The Classical Analogy in the History of Quantum Theory. University of California Press, 2021.

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From c-numbers to q-numbers: The classical analogy in the history of quantum theory. University of California Press, 1992.

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Coopersmith, Jennifer. Hamiltonian Mechanics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198743040.003.0007.

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Hamilton’s genius was to understand what were the true variables of mechanics (the “p − q,” conjugate coordinates, or canonical variables), and this led to Hamilton’s Mechanics which could obtain qualitative answers to a wider ranger of problems than Lagrangian Mechanics. It is explained how Hamilton’s canonical equations arise, why the Hamiltonian is the “central conception of all modern theory” (quote of Schrödinger’s), what the “p − q” variables are, and what phase space is. It is also explained how the famous conservation theorems arise (for energy, linear momentum, and angular momentum),
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Darrigol, Olivier. From c-Numbers to q-Numbers: The Classical Analogy in the History of Quantum Theory (California Studies in the History of Science). University of California Press, 1993.

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Book chapters on the topic "Q-Analogs"

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Braun, Michael, Michael Kiermaier, and Alfred Wassermann. "q-Analogs of Designs: Subspace Designs." In Network Coding and Subspace Designs. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-70293-3_8.

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Buratti, Marco, Michael Kiermaier, Sascha Kurz, Anamari Nakić, and Alfred Wassermann. "2. q-analogs of group divisible designs." In Combinatorics and Finite Fields, edited by Kai-Uwe Schmidt and Arne Winterhof. De Gruyter, 2019. http://dx.doi.org/10.1515/9783110642094-002.

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Vyas, Yashoverdhan. "Multidimensional Extensions of Basic (or q-)Analogs of Certain Erdélyi Type Integrals." In Springer Proceedings in Physics. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-69146-1_55.

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Nakajima, Hiraku. "t-Analogs of q-Characters of Quantum Affine Algebras of Type E6, E7, E8." In Representation Theory of Algebraic Groups and Quantum Groups. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4697-4_10.

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Richards, Donald St P. "Analogs and Extensions of Selberg’s Integral." In q-Series and Partitions. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4684-0637-5_10.

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Zhao, Jianqiang. "Uniform Approach to Double Shuffle and Duality Relations of Various q-Analogs of Multiple Zeta Values via Rota–Baxter Algebras." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37031-2_10.

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Saxena, Vinod Prakash, Praveen Agarwal, and Altaf Ahmad Bhat. "Associated Generating Function q and (p,q)-Analogue of I-Function." In I-Function and Its Applications. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003517757-7.

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Han, G. N., A. Randrianarivony, and J. Zeng. "Un autre q-analogue des nombres d’Euler." In The Andrews Festschrift. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56513-7_5.

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Ariki, Susumi. "q-Analogue of a Twisted Group Ring." In Finite Reductive Groups: Related Structures and Representations. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-4124-9_1.

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Aomoto, Kazuhiko, and Yoshifumi Kato. "A q-analogue of de Rham cohomology." In ICM-90 Satellite Conference Proceedings. Springer Japan, 1991. http://dx.doi.org/10.1007/978-4-431-68170-0_2.

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Conference papers on the topic "Q-Analogs"

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Voronov, Th Th, Piotr Kielanowski, Victor Buchstaber, Anatol Odzijewicz, Martin Schlichenmaier, and Theodore Voronov. "Q-manifolds and Higher Analogs of Lie Algebroids." In XXIX WORKSHOP ON GEOMETRIC METHODS IN PHYSICS. AIP, 2010. http://dx.doi.org/10.1063/1.3527417.

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Dennis, Michael L., and Thomas R. Clark. "Optimally biased coherent I/Q analog photonic link." In 2008 Conference on Lasers and Electro-Optics (CLEO). IEEE, 2008. http://dx.doi.org/10.1109/cleo.2008.4551270.

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Solaiman, Maryam, Theodore Mui, Qi Wang, and Phil Mui. "Modeling Unlearning and Relearning with Multi-agent Q-Learning Systems." In 10th International Conference on Computer Science, Engineering and Information Technology. Academy & Industry Research Collaboration Center, 2024. http://dx.doi.org/10.5121/csit.2024.141912.

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We model unlearning by simulating a Q-agent (using the reinforcement learning Qlearning algorithm), representing a real-world learner, playing the game of Nim against different adversarial agents to learn the optimal Nim strategy. When the Q-agent plays against sub-optimal agents, its percentage of optimal moves is decreased, analogous to a person forgetting (“unlearning”) what they have learned previously. To mitigate the effect of this “unlearning”, we experimented with modulating the Q-learning so that minimal learning occurs with untrusted opponents. This trust-based modulation is modeled
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Spreafico, Elen Viviani Pereira, Kênia Cristina Pereira Silva, and Cecı́lia Pereira Andrade. "q-Analogues of Jacobsthal Identities Via Weighted Tilings." In CNMAC 2016 - XXXVI Congresso Nacional de Matemática Aplicada e Computacional. SBMAC, 2017. http://dx.doi.org/10.5540/03.2017.005.01.0225.

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KANEKO, JYOICHI. "FORRESTER'S CONSTANT TERM CONJECTURE AND ITS q–ANALOGUE." In Proceedings of the Nagoya 2000 International Workshop. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810007_0003.

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McFeetors, G., and M. Okoniewski. "Custom Fabricated High-Q Analog Dual-Gap RF MEMS Varactors." In 2006 International Conference on Microwaves, Radar & Wireless Communications. IEEE, 2006. http://dx.doi.org/10.1109/mikon.2006.4345127.

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Grichener, Alex, Balaji Lakshminarayanan, and Gabriel M. Rebeiz. "High-Q RF MEMS capacitor with digital/analog tuning capabilities." In 2008 IEEE MTT-S International Microwave Symposium Digest - MTT 2008. IEEE, 2008. http://dx.doi.org/10.1109/mwsym.2008.4633294.

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Kramer, M. "Intracavity Sub-G Hz-Mod illation of Nanosecond Laser Pulses via Resonator enhanced Four Wave Mixing." In The European Conference on Lasers and Electro-Optics. Optica Publishing Group, 1996. http://dx.doi.org/10.1364/cleo_europe.1996.cmg4.

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The temporal shape of laser pulses emitted from an unstable laser resonator was investigated [1, 2]. The resonator was Q-switched by means of stimulated Brillouin scattering (SBS) in a cell filled with acetone. Besides a change in pulse length from 40 ns to 2-3 ns by a variation of the resonator configuration, sub-GHz-modulations of the 40 ns-pulses were observed (fig. 1a)-c)). In a set of 150 laser shots 28 were strongly modulated, which were taken for analysis in fig.2. Only modulation frequencies which are harmonic multiples of the resonator roundtrip frequency (100 MHz) appeared whereas fr
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Lai, Hengwei, Yixiong Li, and Hao Wu. "Analog and Q-ary pulse-position modulation in digital communication system." In International Conference on Intelligent Systems, Communications, and Computer Networks (ISCCN 2022), edited by Tok Wang Ling. SPIE, 2022. http://dx.doi.org/10.1117/12.2652556.

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Zhang, Ming, and Nicolas Llaser. "Design of analog and mixed circuits for resonator's Q-factor measurement." In 2020 27th IEEE International Conference on Electronics, Circuits and Systems (ICECS). IEEE, 2020. http://dx.doi.org/10.1109/icecs49266.2020.9294784.

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