Riahi, Anis; Ettaieb, Amine; Chammam, Wathek; Alhussain, Ziyad Ali An analytic characterization of \((p,q)\)-white noise functionals. (English) Zbl 07311455 J. Math. 2020, Article ID 6319138, 8 p. (2020). MSC: 46 81 PDF BibTeX XML Cite \textit{A. Riahi} et al., J. Math. 2020, Article ID 6319138, 8 p. (2020; Zbl 07311455) Full Text: DOI
Chu, Yu-Ming; Awan, Muhammad Uzair; Talib, Sadia; Iftikhar, Sabah; Riahi, Latifa Some new postquantum integral inequalities. (English) Zbl 07304846 J. Math. 2020, Article ID 7402497, 10 p. (2020). MSC: 26 33 PDF BibTeX XML Cite \textit{Y.-M. Chu} et al., J. Math. 2020, Article ID 7402497, 10 p. (2020; Zbl 07304846) Full Text: DOI
Ostrovska, Sofiya An elaboration of the Cai-Xu result on \((p, q)\)-integers. (English) Zbl 07274453 Afr. Mat. 31, No. 5-6, 887-890 (2020). MSC: 40A05 PDF BibTeX XML Cite \textit{S. Ostrovska}, Afr. Mat. 31, No. 5--6, 887--890 (2020; Zbl 07274453) Full Text: DOI
Khan, Muhammad Ghaffar; Ahmad, Bakhtiar; Frasin, Basem Aref; Abdeljawad, Thabet On Janowski analytic \((p,q)\)-starlike functions in symmetric circular domain. (English) Zbl 1451.30032 J. Funct. Spaces 2020, Article ID 4257907, 6 p. (2020). MSC: 30C45 PDF BibTeX XML Cite \textit{M. G. Khan} et al., J. Funct. Spaces 2020, Article ID 4257907, 6 p. (2020; Zbl 1451.30032) Full Text: DOI
Komatsu, T.; Ramírez, J. L.; Sirvent, V. F. A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials. (English) Zbl 1446.11037 Ukr. Math. J. 72, No. 4, 536-554 (2020) and Ukr. Mat. Zh. 72, No. 4, 467-482 (2020). MSC: 11B68 05A15 05A19 11B73 PDF BibTeX XML Cite \textit{T. Komatsu} et al., Ukr. Math. J. 72, No. 4, 536--554 (2020; Zbl 1446.11037) Full Text: DOI
Jagannathan, Ramaswamy; Khan, Sameen Ahmed On the deformed oscillator and the deformed derivative associated with the Tsallis \(q\)-exponential. (English) Zbl 1447.81124 Int. J. Theor. Phys. 59, No. 8, 2647-2669 (2020). MSC: 81Q10 14D15 30H20 81R30 81R15 33B10 PDF BibTeX XML Cite \textit{R. Jagannathan} and \textit{S. A. Khan}, Int. J. Theor. Phys. 59, No. 8, 2647--2669 (2020; Zbl 1447.81124) Full Text: DOI
Hounkonnou, Mahouton Norbert \(( \mathcal{R}, p,q)\)-Rogers-Szegö and Hermite polynomials, and induced deformed quantum algebras. (English) Zbl 1443.33015 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 387-439 (2020). MSC: 33C45 20G42 PDF BibTeX XML Cite \textit{M. N. Hounkonnou}, in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 387--439 (2020; Zbl 1443.33015) Full Text: DOI
Shehata, Ayman On the \((p,q)\)-Humbert functions from the view point of the generating function method. (English) Zbl 1448.33008 J. Funct. Spaces 2020, Article ID 4794571, 16 p. (2020). Reviewer: Neha Malik (New Delhi) MSC: 33C15 05A30 PDF BibTeX XML Cite \textit{A. Shehata}, J. Funct. Spaces 2020, Article ID 4794571, 16 p. (2020; Zbl 1448.33008) Full Text: DOI
Riahi, Anis Wick ordering associated with the \((p, q)\)-Gaussian white noise process. (English) Zbl 1428.60099 Complex Anal. Oper. Theory 13, No. 7, 3151-3167 (2019). MSC: 60H40 47N50 81R12 81T75 PDF BibTeX XML Cite \textit{A. Riahi}, Complex Anal. Oper. Theory 13, No. 7, 3151--3167 (2019; Zbl 1428.60099) Full Text: DOI
Chung, Won Sang; Algin, Abdullah Modified multi-dimensional \(q\)-deformed Newton oscillators: algebra, interpolating statistics and thermodynamics. (English) Zbl 1425.81047 Ann. Phys. 409, Article ID 167911, 13 p. (2019). MSC: 81R05 81R50 17B37 81V70 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{A. Algin}, Ann. Phys. 409, Article ID 167911, 13 p. (2019; Zbl 1425.81047) Full Text: DOI
Motamednezhad, Ahmad; Salehian, Safa New subclass of bi-univalent functions by \((p, q)\)-derivative operator. (English) Zbl 1428.30017 Honam Math. J. 41, No. 2, 381-390 (2019). MSC: 30C45 30C50 PDF BibTeX XML Cite \textit{A. Motamednezhad} and \textit{S. Salehian}, Honam Math. J. 41, No. 2, 381--390 (2019; Zbl 1428.30017) Full Text: DOI
Srivastava, H. M.; Raza, Nusrat; AbuJarad, Eman S. A.; Srivastava, Gautam; AbuJarad, Mohammed H. Fekete-Szegö inequality for classes of \((p, q)\)-starlike and \((p, q)\)-convex functions. (English) Zbl 1427.30032 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3563-3584 (2019). MSC: 30C45 30C50 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3563--3584 (2019; Zbl 1427.30032) Full Text: DOI
Adli, Fereshteh; Mohammadzadeh, Hosein; Najafi, Morteza Nattagh; Ebadi, Zahra Nonperturbative thermodynamic geometry of nonextensive statistics. (English) Zbl 1426.82023 Int. J. Geom. Methods Mod. Phys. 16, No. 5, Article ID 1950069, 20 p. (2019). MSC: 82B30 82B26 PDF BibTeX XML Cite \textit{F. Adli} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 5, Article ID 1950069, 20 p. (2019; Zbl 1426.82023) Full Text: DOI
Hounkonnou, Mahouton Norbert; Melong, Fridolin \(\mathcal{R}(p, q)\)-deformed conformal Virasoro algebra. (English) Zbl 1409.81064 J. Math. Phys. 60, No. 2, 023501, 17 p. (2019). MSC: 81R50 81R10 17B68 14D15 19C09 PDF BibTeX XML Cite \textit{M. N. Hounkonnou} and \textit{F. Melong}, J. Math. Phys. 60, No. 2, 023501, 17 p. (2019; Zbl 1409.81064) Full Text: DOI
Marinho, Andre A.; Brito, Francisco A. Hermite polynomials and Fibonacci oscillators. (English) Zbl 1406.81015 J. Math. Phys. 60, No. 1, 012101, 9 p. (2019). MSC: 81P50 33C45 11B39 35P05 82D30 PDF BibTeX XML Cite \textit{A. A. Marinho} and \textit{F. A. Brito}, J. Math. Phys. 60, No. 1, 012101, 9 p. (2019; Zbl 1406.81015) Full Text: DOI
Gavrilik, Alexandre; Kachurik, Ivan Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscillators. (English) Zbl 1405.81036 Mod. Phys. Lett. A 34, No. 1, Article ID 1950007, 20 p. (2019). MSC: 81Q12 81R50 81R15 PDF BibTeX XML Cite \textit{A. Gavrilik} and \textit{I. Kachurik}, Mod. Phys. Lett. A 34, No. 1, Article ID 1950007, 20 p. (2019; Zbl 1405.81036) Full Text: DOI
Sharma, Honey; Maurya, Ramapati; Gupta, Cheena Approximation properties of Kantorovich type modifications of \((p, q)-\) Meyer-könig-Zeller operators. (English) Zbl 07251254 Constr. Math. Anal. 1, No. 1, 58-72 (2018). MSC: 41A25 41A35 PDF BibTeX XML Cite \textit{H. Sharma} et al., Constr. Math. Anal. 1, No. 1, 58--72 (2018; Zbl 07251254) Full Text: DOI
Chung, Won Sang; Algin, Abdullah Hybrid modeling of quasi-particles: algebra, Fock space and condensation. (English) Zbl 1416.82007 Chaos Solitons Fractals 115, 77-83 (2018). MSC: 82B10 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{A. Algin}, Chaos Solitons Fractals 115, 77--83 (2018; Zbl 1416.82007) Full Text: DOI
Kamsrisuk, Nattapong; Promsakon, Chanon; Ntouyas, Sotiris K.; Tariboon, Jessada Nonlocal boundary value problems for \((p, q)\)-difference equations. (English) Zbl 1396.39007 Differ. Equ. Appl. 10, No. 2, 183-195 (2018). MSC: 39A13 05A30 34A12 PDF BibTeX XML Cite \textit{N. Kamsrisuk} et al., Differ. Equ. Appl. 10, No. 2, 183--195 (2018; Zbl 1396.39007) Full Text: DOI
Roh, Kum-Hwan; Lee, Hui Young; Kim, Young Rok; Kang, Jung Yoog A reserch on nonlinear \((p, q)\)-difference equation transformable to linear equations using \((p, q)\)-derivate. (English) Zbl 1393.39006 J. Appl. Math. Inform. 36, No. 3-4, 271-283 (2018). MSC: 39A13 39A06 39A60 33D90 47B39 PDF BibTeX XML Cite \textit{K.-H. Roh} et al., J. Appl. Math. Inform. 36, No. 3--4, 271--283 (2018; Zbl 1393.39006) Full Text: DOI
Mursaleen, Mohammad; Alabied, Ahmed A. H. Approximation properties for modified \((p,q)\)-Bernstein-Durrmeyer operators. (English) Zbl 06890413 Math. Bohem. 143, No. 2, 173-188 (2018). MSC: 41A10 41A25 41A36 PDF BibTeX XML Cite \textit{M. Mursaleen} and \textit{A. A. H. Alabied}, Math. Bohem. 143, No. 2, 173--188 (2018; Zbl 06890413) Full Text: DOI
Sadjang, P. Njionou On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas. (English) Zbl 1387.30080 Result. Math. 73, No. 1, Paper No. 39, 21 p. (2018). MSC: 30G99 30C10 PDF BibTeX XML Cite \textit{P. N. Sadjang}, Result. Math. 73, No. 1, Paper No. 39, 21 p. (2018; Zbl 1387.30080) Full Text: DOI arXiv
Duran, Ugur; Acikgoz, Mehmet On \((\rho, q)\)-Euler numbers and polynomials associated with \((\rho, q)\)-Volkenborn integrals. (English) Zbl 1375.05028 Int. J. Number Theory 14, No. 1, 241-253 (2018). MSC: 05A30 11B65 11B68 11S23 PDF BibTeX XML Cite \textit{U. Duran} and \textit{M. Acikgoz}, Int. J. Number Theory 14, No. 1, 241--253 (2018; Zbl 1375.05028) Full Text: DOI
Altinkaya, Şahsene; Yalçin, Sibel Faber polynomial coefficient estimates for certain classes of bi-univalent functions defined by using the Jackson \((p,q)\)-derivative operator. (English) Zbl 1412.30022 J. Nonlinear Sci. Appl. 10, No. 6, 3067-3074 (2017). MSC: 30C45 33D15 PDF BibTeX XML Cite \textit{Ş. Altinkaya} and \textit{S. Yalçin}, J. Nonlinear Sci. Appl. 10, No. 6, 3067--3074 (2017; Zbl 1412.30022) Full Text: DOI
Masjed-Jamei, M.; Soleyman, F.; Area, I.; Nieto, J. J. On \((p,q)\)-classical orthogonal polynomials and their characterization theorems. (English) Zbl 1444.33007 Adv. Difference Equ. 2017, Paper No. 186, 17 p. (2017). MSC: 33C45 33C47 34B24 39A70 PDF BibTeX XML Cite \textit{M. Masjed-Jamei} et al., Adv. Difference Equ. 2017, Paper No. 186, 17 p. (2017; Zbl 1444.33007) Full Text: DOI
Mursaleen, M.; Nasiruzzaman, Md; Ansari, Khursheed J.; Alotaibi, Abdullah Generalized \((p,q)\)-Bleimann-Butzer-Hahn operators and some approximation results. (English) Zbl 1386.41002 J. Inequal. Appl. 2017, Paper No. 310, 14 p. (2017). MSC: 41A10 41A25 41A36 PDF BibTeX XML Cite \textit{M. Mursaleen} et al., J. Inequal. Appl. 2017, Paper No. 310, 14 p. (2017; Zbl 1386.41002) Full Text: DOI
Algin, Abdullah; Olkun, Ali Bose-Einstein condensation in low dimensional systems with deformed bosons. (English) Zbl 1373.82014 Ann. Phys. 383, 239-256 (2017). MSC: 82B10 PDF BibTeX XML Cite \textit{A. Algin} and \textit{A. Olkun}, Ann. Phys. 383, 239--256 (2017; Zbl 1373.82014) Full Text: DOI
Soleyman, F.; Area, I.; Masjed-Jamei, M.; Nieto, J. J. Representation of \((p,q)\)-Bernstein polynomials in terms of \((p,q)\)-Jacobi polynomials. (English) Zbl 1369.33020 J. Inequal. Appl. 2017, Paper No. 167, 7 p. (2017). MSC: 33D45 39A70 PDF BibTeX XML Cite \textit{F. Soleyman} et al., J. Inequal. Appl. 2017, Paper No. 167, 7 p. (2017; Zbl 1369.33020) Full Text: DOI
Cai, Qing-Bo; Xu, Xiao-Wei A basic problem of \((p,q)\)-Bernstein-type operators. (English) Zbl 1365.41016 J. Inequal. Appl. 2017, Paper No. 140, 7 p. (2017). MSC: 41A50 PDF BibTeX XML Cite \textit{Q.-B. Cai} and \textit{X.-W. Xu}, J. Inequal. Appl. 2017, Paper No. 140, 7 p. (2017; Zbl 1365.41016) Full Text: DOI
Algin, Abdullah; Arik, Metin; Senay, Mustafa; Topcu, Gozde Thermostatistics of bosonic and fermionic Fibonacci oscillators. (English) Zbl 1355.82005 Int. J. Mod. Phys. B 31, No. 1, Article ID 1650247, 20 p. (2017). MSC: 82B10 PDF BibTeX XML Cite \textit{A. Algin} et al., Int. J. Mod. Phys. B 31, No. 1, Article ID 1650247, 20 p. (2017; Zbl 1355.82005) Full Text: DOI
Araci, Serkan; Duran, Ugur; Acikgoz, Mehmet \((\rho,q)\)-Volkenborn integration. (English) Zbl 1350.11104 J. Number Theory 171, 18-30 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S80 05A30 11B68 PDF BibTeX XML Cite \textit{S. Araci} et al., J. Number Theory 171, 18--30 (2017; Zbl 1350.11104) Full Text: DOI
Sharma, Honey On Durrmeyer-type generalization of \((p,q)\)-Bernstein operators. (English) Zbl 1357.41016 Arab. J. Math. 5, No. 4, 239-248 (2016). MSC: 41A35 41A25 PDF BibTeX XML Cite \textit{H. Sharma}, Arab. J. Math. 5, No. 4, 239--248 (2016; Zbl 1357.41016) Full Text: DOI
Fakhri, Hossein; Nouraddini, Mojtaba From the Wigner-Eckart theorem to the Hilbert-Schmidt scalar product for an adjoint representation of the quantum algebra \(U_{p,q}(su_2)\). (English) Zbl 1359.17026 Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650127, 12 p. (2016). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{H. Fakhri} and \textit{M. Nouraddini}, Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650127, 12 p. (2016; Zbl 1359.17026) Full Text: DOI
Araci, Serkan; Duran, Uğur; Acikgoz, Mehmet; Srivastava, Hari M. A certain \((p,q)\)-derivative operator and associated divided differences. (English) Zbl 1393.05059 J. Inequal. Appl. 2016, Paper No. 301, 8 p. (2016). MSC: 05A30 11B68 11B83 39A13 81S40 PDF BibTeX XML Cite \textit{S. Araci} et al., J. Inequal. Appl. 2016, Paper No. 301, 8 p. (2016; Zbl 1393.05059) Full Text: DOI
Gaddis, Jason Two-parameter analogs of the Heisenberg enveloping algebra. (English) Zbl 1364.17018 Commun. Algebra 44, No. 11, 4637-4653 (2016). Reviewer: Giovanna Carnovale (Padova) MSC: 17B37 16T20 17B68 16S38 PDF BibTeX XML Cite \textit{J. Gaddis}, Commun. Algebra 44, No. 11, 4637--4653 (2016; Zbl 1364.17018) Full Text: DOI
Gavrilik, Alexandre M.; Kachurik, Ivan I. Nonstandard deformed oscillators from \(q\)- and \(p,q\)-deformations of Heisenberg algebra. (English) Zbl 1338.81237 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 047, 12 p. (2016). MSC: 81R50 81S05 17B37 81Q10 81Q12 PDF BibTeX XML Cite \textit{A. M. Gavrilik} and \textit{I. I. Kachurik}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 047, 12 p. (2016; Zbl 1338.81237) Full Text: DOI arXiv
Fakhri, H.; Hashemi, A. The symmetric \(q\)-oscillator algebra: \(q\)-coherent states, \(q\)-Bargmann-Fock realization and continuous \(q\)-Hermite polynomials with \(0<q<1\). (English) Zbl 1405.81048 Int. J. Geom. Methods Mod. Phys. 13, No. 3, Article ID 1650028, 16 p. (2016). MSC: 81R30 05A30 33D45 81R50 PDF BibTeX XML Cite \textit{H. Fakhri} and \textit{A. Hashemi}, Int. J. Geom. Methods Mod. Phys. 13, No. 3, Article ID 1650028, 16 p. (2016; Zbl 1405.81048) Full Text: DOI
Mursaleen, M.; Alotaibi, Abdullah; Ansari, Khursheed J. On a Kantorovich variant of \((p, q)\)-Szász-Mirakjan operators. (English) Zbl 1337.41011 J. Funct. Spaces 2016, Article ID 1035253, 9 p. (2016). MSC: 41A36 PDF BibTeX XML Cite \textit{M. Mursaleen} et al., J. Funct. Spaces 2016, Article ID 1035253, 9 p. (2016; Zbl 1337.41011) Full Text: DOI
Mursaleen, M.; Ansari, Khursheed J.; Khan, Asif Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators. (English) Zbl 1410.41003 Appl. Math. Comput. 264, 392-402 (2015); corrigendum ibid. 269, 744-746 (2015). MSC: 41A10 40A30 41A25 41A36 PDF BibTeX XML Cite \textit{M. Mursaleen} et al., Appl. Math. Comput. 264, 392--402 (2015; Zbl 1410.41003) Full Text: DOI
Borzov, Vadim V.; Damaskinskiĭ, E. V. Orthogonal polynomials and deformed oscillators. (English. Russian original) Zbl 1397.81093 Theor. Math. Phys. 185, No. 1, 1417-1424 (2015); translation from Teor. Mat. Fiz. 185, No. 1, 68-76 (2015). MSC: 81R12 11B39 17B81 42C10 PDF BibTeX XML Cite \textit{V. V. Borzov} and \textit{E. V. Damaskinskiĭ}, Theor. Math. Phys. 185, No. 1, 1417--1424 (2015; Zbl 1397.81093); translation from Teor. Mat. Fiz. 185, No. 1, 68--76 (2015) Full Text: DOI
Mursaleen, Mohammad; Nasiruzzaman, Md; Nurgali, Ashirbayev Some approximation results on Bernstein-Schurer operators defined by \((p,q)\)-integers. (English) Zbl 1334.41036 J. Inequal. Appl. 2015, Paper No. 249, 12 p. (2015). MSC: 41A36 41A25 PDF BibTeX XML Cite \textit{M. Mursaleen} et al., J. Inequal. Appl. 2015, Paper No. 249, 12 p. (2015; Zbl 1334.41036) Full Text: DOI
Sharma, Honey; Gupta, Cheena On \((p,q)\)-generalization of Szász-Mirakyan Kantorovich operators. (English) Zbl 1331.41030 Boll. Unione Mat. Ital. 8, No. 3, 213-222 (2015). MSC: 41A35 41A25 PDF BibTeX XML Cite \textit{H. Sharma} and \textit{C. Gupta}, Boll. Unione Mat. Ital. 8, No. 3, 213--222 (2015; Zbl 1331.41030) Full Text: DOI
Aleixo, A. N. F.; Balantekin, A. B. Normal ordering for nonlinear deformed ladder operators and the \(f\)-generalization of the Stirling and Bell numbers. (English) Zbl 1429.81081 J. Math. Phys. 56, No. 12, 122108, 34 p. (2015). MSC: 81T60 PDF BibTeX XML Cite \textit{A. N. F. Aleixo} and \textit{A. B. Balantekin}, J. Math. Phys. 56, No. 12, 122108, 34 p. (2015; Zbl 1429.81081) Full Text: DOI
Blitvić, Natasha Two-parameter non-commutative central limit theorem. (English. French summary) Zbl 1314.60073 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1456-1473 (2014). MSC: 60F05 60B20 46L54 81S05 PDF BibTeX XML Cite \textit{N. Blitvić}, Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1456--1473 (2014; Zbl 1314.60073) Full Text: DOI Euclid arXiv
Dai, Wu-Sheng; Xie, Mi Calculating statistical distributions from operator relations: The statistical distributions of various intermediate statistics. (English) Zbl 1342.82010 Ann. Phys. 332, 166-179 (2013). MSC: 82B10 62P35 81S99 PDF BibTeX XML Cite \textit{W.-S. Dai} and \textit{M. Xie}, Ann. Phys. 332, 166--179 (2013; Zbl 1342.82010) Full Text: DOI
Burban, I. M. Unified \((p,q;\alpha ,\gamma ,l)\)-deformation of oscillator algebra and two-dimensional conformal field theory. (English) Zbl 1301.81249 Phys. Lett., A 377, No. 40, 2863-2869 (2013). MSC: 81T40 17B68 17B37 PDF BibTeX XML Cite \textit{I. M. Burban}, Phys. Lett., A 377, No. 40, 2863--2869 (2013; Zbl 1301.81249) Full Text: DOI arXiv
Sahai, Vivek; Yadav, Sarasvati On irreducible \(p,q\)-representations of Lie algebras \(\mathcal{G}(0,1)\) and \(\mathcal{G}(0,0)\). (English) Zbl 1266.33019 Math. Nachr. 286, No. 4, 392-401 (2013). MSC: 33D80 17B37 PDF BibTeX XML Cite \textit{V. Sahai} and \textit{S. Yadav}, Math. Nachr. 286, No. 4, 392--401 (2013; Zbl 1266.33019) Full Text: DOI
Zharkov, V. M. The functional integral in the Hubbard model. (English. Russian original) Zbl 1282.82056 Theor. Math. Phys. 172, No. 3, 1300-1314 (2012); translation from Teor. Mat. Fiz. 172, No. 3, 479-496 (2012). MSC: 82D55 PDF BibTeX XML Cite \textit{V. M. Zharkov}, Theor. Math. Phys. 172, No. 3, 1300--1314 (2012; Zbl 1282.82056); translation from Teor. Mat. Fiz. 172, No. 3, 479--496 (2012) Full Text: DOI arXiv
Baloitcha, E.; Hounkonnou, M. N.; Ngompe Nkouankam, E. B. Unified \((p,q;\alpha,\beta,\nu;\gamma)\) deformed oscillator algebra: irreducible representations and induced deformed harmonic oscillator. (English) Zbl 1273.81060 J. Math. Phys. 53, No. 1, 013504, 11 p. (2012). MSC: 81R50 81R05 PDF BibTeX XML Cite \textit{E. Baloitcha} et al., J. Math. Phys. 53, No. 1, 013504, 11 p. (2012; Zbl 1273.81060) Full Text: DOI arXiv
Gavrilik, A. M.; Kachurik, I. I. Three-parameter (two-sided) deformation of Heisenberg algebra. (English) Zbl 1257.81040 Mod. Phys. Lett. A 27, No. 21, 1250114, 12 p. (2012). MSC: 81R50 17B37 35R03 PDF BibTeX XML Cite \textit{A. M. Gavrilik} and \textit{I. I. Kachurik}, Mod. Phys. Lett. A 27, No. 21, 1250114, 12 p. (2012; Zbl 1257.81040) Full Text: DOI arXiv
Blitvić, Natasha The \((q, t)\)-Gaussian process. (English) Zbl 1264.46045 J. Funct. Anal. 263, No. 10, 3270-3305 (2012). MSC: 46L54 46L53 46L65 PDF BibTeX XML Cite \textit{N. Blitvić}, J. Funct. Anal. 263, No. 10, 3270--3305 (2012; Zbl 1264.46045) Full Text: DOI arXiv
Gavrilik, A. M.; Rebesh, A. P. Deformed gas of \(p, q\)-bosons: virial expansion and virial coefficients. (English) Zbl 1253.82008 Mod. Phys. Lett. B 26, No. 5, 1150030, 13 p. (2012). MSC: 82B10 82B27 82C22 PDF BibTeX XML Cite \textit{A. M. Gavrilik} and \textit{A. P. Rebesh}, Mod. Phys. Lett. B 26, No. 5, 1150030, 13 p. (2012; Zbl 1253.82008) Full Text: DOI arXiv
Berrada, K.; El Baz, M.; Hassouni, Y. On the construction of generalized \(\mathrm{SU}(1, 1)\) coherent states. (English) Zbl 1241.81099 Rep. Math. Phys. 68, No. 1, 23-35 (2011). MSC: 81R30 81P40 PDF BibTeX XML Cite \textit{K. Berrada} et al., Rep. Math. Phys. 68, No. 1, 23--35 (2011; Zbl 1241.81099) Full Text: DOI
Berrada, K.; El Baz, M.; Hassouni, Y. Generalized spin coherent states: construction and some physical properties. (English) Zbl 1218.81063 J. Stat. Phys. 142, No. 3, 510-523 (2011). Reviewer: Rainer Klages (London) MSC: 81R50 17B37 81R30 81R25 PDF BibTeX XML Cite \textit{K. Berrada} et al., J. Stat. Phys. 142, No. 3, 510--523 (2011; Zbl 1218.81063) Full Text: DOI
Hounkonnou, Mahouton Norbert; Nkouankam, Elvis Benzo Ngompe \((q,\mu)\) and \((p,q,\zeta)\)-exponential functions: Rogers-Szegö polynomials and Fourier-Gauss transform. (English) Zbl 1314.81107 J. Math. Phys. 51, No. 10, 103517, 10 p. (2010). MSC: 81R50 17B37 33B10 42A38 17B81 PDF BibTeX XML Cite \textit{M. N. Hounkonnou} and \textit{E. B. N. Nkouankam}, J. Math. Phys. 51, No. 10, 103517, 10 p. (2010; Zbl 1314.81107) Full Text: DOI arXiv
Hounkonnou, Mahouton Norbert; Kyemba, Joseph Désiré Bukweli \((\mathcal{R},p,q)\)-deformed quantum algebras: coherent states and special functions. (English) Zbl 1311.81154 J. Math. Phys. 51, No. 6, 063518, 20 p. (2010). MSC: 81R50 17B37 81R30 81R15 PDF BibTeX XML Cite \textit{M. N. Hounkonnou} and \textit{J. D. B. Kyemba}, J. Math. Phys. 51, No. 6, 063518, 20 p. (2010; Zbl 1311.81154) Full Text: DOI
Algin, Abdullah; Arik, Metin; Arikan, Ali S. Two-parameter deformed supersymmetric oscillators with \(SU_{q_1/q_2}(n|m)\)-covariance. (English) Zbl 1235.81084 Phys. Lett., A 374, No. 3, 396-400 (2010). MSC: 81Q60 81V70 81S05 81R50 17B37 PDF BibTeX XML Cite \textit{A. Algin} et al., Phys. Lett., A 374, No. 3, 396--400 (2010; Zbl 1235.81084) Full Text: DOI
Algin, Abdullah Fibonacci oscillators and two-parameter generalized thermostatistics. (English) Zbl 1221.82018 Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1372-1377 (2010). MSC: 82B10 PDF BibTeX XML Cite \textit{A. Algin}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1372--1377 (2010; Zbl 1221.82018) Full Text: DOI
Alim, Huseyin; Altintas, Azmi Ali; Arik, Metin; Arikan, Ali Serdar The inhomogeneous quantum invariance group of the two parameter deformed boson algebra. (English) Zbl 1188.81114 Int. J. Theor. Phys. 49, No. 3, 633-643 (2010). MSC: 81R50 17B37 PDF BibTeX XML Cite \textit{H. Alim} et al., Int. J. Theor. Phys. 49, No. 3, 633--643 (2010; Zbl 1188.81114) Full Text: DOI
Algin, Abdullah Non-extensive entropy of bosonic Fibonacci oscillators. (English) Zbl 07229828 J. Stat. Mech. Theory Exp. 2009, No. 4, Article ID P04007, 18 p. (2009). MSC: 82 PDF BibTeX XML Cite \textit{A. Algin}, J. Stat. Mech. Theory Exp. 2009, No. 4, Article ID P04007, 18 p. (2009; Zbl 07229828) Full Text: DOI
Oikonomou, Thomas; Tirnakli, Ugur Generalized entropic structures and non-generality of Jaynes’ formalism. (English) Zbl 1198.82034 Chaos Solitons Fractals 42, No. 5, 3027-3034 (2009). MSC: 82C03 94A17 PDF BibTeX XML Cite \textit{T. Oikonomou} and \textit{U. Tirnakli}, Chaos Solitons Fractals 42, No. 5, 3027--3034 (2009; Zbl 1198.82034) Full Text: DOI
Aleixo, A. N. F.; Balantekin, A. B. Multiparameter deformation theory for quantum confined systems. (English) Zbl 1300.81048 J. Math. Phys. 50, No. 11, 112103, 13 p. (2009). MSC: 81R12 81R50 81Q60 PDF BibTeX XML Cite \textit{A. N. F. Aleixo} and \textit{A. B. Balantekin}, J. Math. Phys. 50, No. 11, 112103, 13 p. (2009; Zbl 1300.81048) Full Text: DOI
Naderi, Mohammad Hossein; Soltanolkotabi, Mahmood; Roknizadeh, Rasoul Deformed harmonic oscillator and nonlinear coherent states: noncommutative quantum space approach. (English) Zbl 1170.81393 Int. J. Mod. Phys. A 24, No. 10, 1963-1986 (2009). MSC: 81R60 81R50 17B37 81P15 PDF BibTeX XML Cite \textit{M. H. Naderi} et al., Int. J. Mod. Phys. A 24, No. 10, 1963--1986 (2009; Zbl 1170.81393) Full Text: DOI
Algin, Abdullah Quantum groups \(GL_{p,q}(2)\)- and \(SU_{q_{1}/q_{2}}(2)\)-invariant bosonic gases: A Comparative study. (English) Zbl 1162.81391 Int. J. Theor. Phys. 48, No. 1, 71-84 (2009). MSC: 81R50 17B37 81S05 82B30 22E70 PDF BibTeX XML Cite \textit{A. Algin}, Int. J. Theor. Phys. 48, No. 1, 71--84 (2009; Zbl 1162.81391) Full Text: DOI
Algin, Abdullah Bose-Einstein condensation in a gas of Fibonacci oscillators. (English) Zbl 07120581 J. Stat. Mech. Theory Exp. 2008, No. 10, Article ID P10009, 23 p. (2008). MSC: 82 PDF BibTeX XML Cite \textit{A. Algin}, J. Stat. Mech. Theory Exp. 2008, No. 10, Article ID P10009, 23 p. (2008; Zbl 07120581) Full Text: DOI
Cardoso, Pedro G. S.; Borges, Ernesto P.; Lobão, Thierry C. P.; Pinho, Suani T. R. Nondistributive algebraic structures derived from nonextensive statistical mechanics. (English) Zbl 1152.81362 J. Math. Phys. 49, No. 9, 093509, 10 p. (2008). MSC: 33D15 82C05 PDF BibTeX XML Cite \textit{P. G. S. Cardoso} et al., J. Math. Phys. 49, No. 9, 093509, 10 p. (2008; Zbl 1152.81362) Full Text: DOI
Sahai, Vivek; Yadav, Sarasvati On models of certain \(p,q\)-algebra representations: the \(p,q\)-oscillator algebra. (English) Zbl 1152.81599 J. Math. Phys. 49, No. 5, 053504, 12 p. (2008). MSC: 81R50 17B37 33D80 PDF BibTeX XML Cite \textit{V. Sahai} and \textit{S. Yadav}, J. Math. Phys. 49, No. 5, 053504, 12 p. (2008; Zbl 1152.81599) Full Text: DOI
Ben Geloun, Joseph; Hounkonnou, M. Norbert Bosonic quasideterminants and eigenvalue problems of generalized spin-orbit operators. (English) Zbl 1153.81319 J. Math. Phys. 49, No. 2, 023509, 8 p. (2008). MSC: 81S05 15A15 81Q10 PDF BibTeX XML Cite \textit{J. Ben Geloun} and \textit{M. N. Hounkonnou}, J. Math. Phys. 49, No. 2, 023509, 8 p. (2008; Zbl 1153.81319) Full Text: DOI
Gavrilik, A. M.; Rebesh, A. P. Plethora of \(q\)-oscillators possessing pairwise energy level degenracy. (English) Zbl 1145.81375 Mod. Phys. Lett. A 23, No. 13, 921-932 (2008). MSC: 81R12 81Q05 17B37 PDF BibTeX XML Cite \textit{A. M. Gavrilik} and \textit{A. P. Rebesh}, Mod. Phys. Lett. A 23, No. 13, 921--932 (2008; Zbl 1145.81375) Full Text: DOI arXiv
Algin, Abdullah; Arik, Metin; Kocabicakoglu, Deniz Two-parameter deformed SUSY algebra for Fibonacci oscillators. (English) Zbl 1140.81415 Int. J. Theor. Phys. 47, No. 5, 1322-1332 (2008). MSC: 81R50 17B70 81Q60 17A70 PDF BibTeX XML Cite \textit{A. Algin} et al., Int. J. Theor. Phys. 47, No. 5, 1322--1332 (2008; Zbl 1140.81415) Full Text: DOI
Sahai, Vivek; Yadav, Sarasvati On models of certain \(p,q\)-algebra representations: the quantum Euclidean algebra \(\mathcal E _{p,q}(2)\). (English) Zbl 1131.17007 J. Math. Anal. Appl. 338, No. 2, 1043-1053 (2008). MSC: 17B37 33C80 PDF BibTeX XML Cite \textit{V. Sahai} and \textit{S. Yadav}, J. Math. Anal. Appl. 338, No. 2, 1043--1053 (2008; Zbl 1131.17007) Full Text: DOI
Wada, Tatsuaki; Suyari, Hiroki A two-parameter generalization of Shannon-Khinchin axioms and the uniqueness theorem. (English) Zbl 1209.94027 Phys. Lett., A 368, No. 3-4, 199-205 (2007). MSC: 94A17 39A70 PDF BibTeX XML Cite \textit{T. Wada} and \textit{H. Suyari}, Phys. Lett., A 368, No. 3--4, 199--205 (2007; Zbl 1209.94027) Full Text: DOI
Burban, I. M. On \((p,q,\alpha,\beta, l\))-deformed oscillator and its generalized quantum Heisenberg-Weyl algebra. (English) Zbl 1203.81082 Phys. Lett., A 366, No. 4-5, 308-314 (2007). MSC: 81R50 16T05 PDF BibTeX XML Cite \textit{I. M. Burban}, Phys. Lett., A 366, No. 4--5, 308--314 (2007; Zbl 1203.81082) Full Text: DOI
Ben Geloun, Joseph; Hounkonnou, M. Norbert Canonical and nonlinear vector coherent states of generalized models with spin-orbit interaction. (English) Zbl 1152.81332 J. Math. Phys. 48, No. 9, 093505, 28 p. (2007). MSC: 81R30 33D80 81R12 81R50 81V80 82D20 PDF BibTeX XML Cite \textit{J. Ben Geloun} and \textit{M. N. Hounkonnou}, J. Math. Phys. 48, No. 9, 093505, 28 p. (2007; Zbl 1152.81332) Full Text: DOI
Sahai, Vivek; Yadav, Sarasvati Representations of two parameter quantum algebras and \(p,q\)-special functions. (English) Zbl 1141.17015 J. Math. Anal. Appl. 335, No. 1, 268-279 (2007). Reviewer: Joaquín Jódar Reyes (Jaen) MSC: 17B37 33D80 PDF BibTeX XML Cite \textit{V. Sahai} and \textit{S. Yadav}, J. Math. Anal. Appl. 335, No. 1, 268--279 (2007; Zbl 1141.17015) Full Text: DOI
Gavrilik, A. M.; Rebesh, A. P. A \(q\)-oscillator with “accidental” degeneracy of energy levels. (English) Zbl 1116.81034 Mod. Phys. Lett. A 22, No. 13, 949-960 (2007). MSC: 81R50 17B37 81Q05 PDF BibTeX XML Cite \textit{A. M. Gavrilik} and \textit{A. P. Rebesh}, Mod. Phys. Lett. A 22, No. 13, 949--960 (2007; Zbl 1116.81034) Full Text: DOI arXiv
Ben Geloun, Joseph; Govaerts, Jan; Hounkonnou, M. Norbert \((p,q)\) deformations and \((p,q)\)-vector coherent states of the Jaynes-Cummings model in the rotating wave approximation. (English) Zbl 1137.81345 J. Math. Phys. 48, No. 3, 032107, 23 p. (2007). MSC: 81R50 81R30 81V80 PDF BibTeX XML Cite \textit{J. Ben Geloun} et al., J. Math. Phys. 48, No. 3, 032107, 23 p. (2007; Zbl 1137.81345) Full Text: DOI
Yildiz, A. Braided oscillators. (English) Zbl 1059.81092 J. Math. Phys. 43, No. 3, 1668-1674 (2002). MSC: 81R50 16W30 16W35 81S05 PDF BibTeX XML Cite \textit{A. Yildiz}, J. Math. Phys. 43, No. 3, 1668--1674 (2002; Zbl 1059.81092) Full Text: DOI arXiv
Algin, Abdullah Thermodynamics of a two-parameter deformed quantum group boson gas. (English) Zbl 0979.82008 Phys. Lett., A 292, No. 4-5, 251-255 (2002). MSC: 82B10 81R50 PDF BibTeX XML Cite \textit{A. Algin}, Phys. Lett., A 292, No. 4--5, 251--255 (2002; Zbl 0979.82008) Full Text: DOI
Wang, Jisuo; Wang, Boyun; Sun, Changyong Even and odd \(qs\)-coherent states and their photon-statistical properties. (English) Zbl 0941.81038 Phys. Lett., A 246, No. 5, 464-470 (1998). MSC: 81R30 81R50 81V80 PDF BibTeX XML Cite \textit{J. Wang} et al., Phys. Lett., A 246, No. 5, 464--470 (1998; Zbl 0941.81038) Full Text: DOI
Borges, Ernesto P.; Roditi, Itzhak A family of nonextensive entropies. (English) Zbl 0940.82008 Phys. Lett., A 246, No. 5, 399-402 (1998). MSC: 82B05 82B03 PDF BibTeX XML Cite \textit{E. P. Borges} and \textit{I. Roditi}, Phys. Lett., A 246, No. 5, 399--402 (1998; Zbl 0940.82008) Full Text: DOI
Paolucci, A.; Tsohantjis, I. Hopf-type deformed oscillators, their quantum double and a \(q\)-deformed Calogero-Vasiliev algebra. (English) Zbl 1044.81607 Phys. Lett., A 234, No. 1, 27-34 (1997). MSC: 81R12 81R50 81V70 PDF BibTeX XML Cite \textit{A. Paolucci} and \textit{I. Tsohantjis}, Phys. Lett., A 234, No. 1, 27--34 (1997; Zbl 1044.81607) Full Text: DOI
Katriel, J.; Quesne, C. Recursively minimally-deformed oscillators. (English) Zbl 0879.47048 J. Math. Phys. 37, No. 4, 1650-1661 (1996). MSC: 47N50 81S05 PDF BibTeX XML Cite \textit{J. Katriel} and \textit{C. Quesne}, J. Math. Phys. 37, No. 4, 1650--1661 (1996; Zbl 0879.47048) Full Text: DOI arXiv
Klimyk, A. U.; Schempp, W. Classical and quantum Heisenberg groups, their representations and applications. (English) Zbl 0857.22007 Acta Appl. Math. 45, No. 2, 143-194 (1996). MSC: 22E27 17B37 22E25 81R05 81R50 PDF BibTeX XML Cite \textit{A. U. Klimyk} and \textit{W. Schempp}, Acta Appl. Math. 45, No. 2, 143--194 (1996; Zbl 0857.22007) Full Text: DOI
Daoud, M.; Kibler, M. Statistical mechanics of \(qp\)-bosons in \(D\) dimensions. (English) Zbl 1020.82507 Phys. Lett., A 206, No. 1-2, 13-17 (1995). MSC: 82B10 82B21 PDF BibTeX XML Cite \textit{M. Daoud} and \textit{M. Kibler}, Phys. Lett., A 206, No. 1--2, 13--17 (1995; Zbl 1020.82507) Full Text: DOI
Gong, Ren Shan Thermodynamic characteristics of the \((p,q)\)-deformed ideal Bose gas. (English) Zbl 1020.81642 Phys. Lett., A 199, No. 1-2, 81-85 (1995). MSC: 81R50 82B30 PDF BibTeX XML Cite \textit{R. S. Gong}, Phys. Lett., A 199, No. 1--2, 81--85 (1995; Zbl 1020.81642) Full Text: DOI
Gong, Ren Shan Matsubara functions of \((p,q)\)-deformed phonon systems. (English) Zbl 0941.81607 Phys. Lett., A 194, No. 5-6, 380-384 (1994). MSC: 81V70 81R50 82B10 PDF BibTeX XML Cite \textit{R. S. Gong}, Phys. Lett., A 194, No. 5--6, 380--384 (1994; Zbl 0941.81607) Full Text: DOI
Papp, E. Quantum \(q\)-deformations of \(1/N\) energy formulae for arbitrary spherically symmetrical potentials. (English) Zbl 0961.81514 Phys. Lett., A 189, No. 5, 341-344 (1994). MSC: 81Q05 81R50 PDF BibTeX XML Cite \textit{E. Papp}, Phys. Lett., A 189, No. 5, 341--344 (1994; Zbl 0961.81514) Full Text: DOI
Burban, Ivan M.; Klimyk, Anatoli U. \(P,Q\)-differentiation, \(P,Q\)-integration, and \(P,Q\)-hypergeometric functions related to quantum groups. (English) Zbl 0823.33010 Integral Transforms Spec. Funct. 2, No. 1, 15-36 (1994). MSC: 33D15 33D45 33D60 33D80 17B37 39A70 47B25 81R50 PDF BibTeX XML Cite \textit{I. M. Burban} and \textit{A. U. Klimyk}, Integral Transforms Spec. Funct. 2, No. 1, 15--36 (1994; Zbl 0823.33010) Full Text: DOI
Chung, Won-Sang Two parameter deformation of Virasoro algebra. (English) Zbl 0822.17015 J. Math. Phys. 35, No. 5, 2490-2496 (1994). MSC: 17B37 17B68 81R50 PDF BibTeX XML Cite \textit{W.-S. Chung}, J. Math. Phys. 35, No. 5, 2490--2496 (1994; Zbl 0822.17015) Full Text: DOI