Liu, Fu; Hu, Naihong; Jing, Naihuan Quantum supergroup \(U_{r,s}(osp(1,2))\), Scasimir operators and Dickson polynomials. (English) Zbl 07773264 J. Algebra Appl. 23, No. 1, Article ID 2450003, 18 p. (2024). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B37 20G42 33C47 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Algebra Appl. 23, No. 1, Article ID 2450003, 18 p. (2024; Zbl 07773264) Full Text: DOI arXiv
Saikia, Neelam Zeros of hypergeometric functions in the \(p\)-adic setting. (English) Zbl 07720235 Ramanujan J. 61, No. 4, 1339-1355 (2023). MSC: 33E50 33C20 11S80 11T24 PDFBibTeX XMLCite \textit{N. Saikia}, Ramanujan J. 61, No. 4, 1339--1355 (2023; Zbl 07720235) Full Text: DOI arXiv
Saaltink, Mark Generalized trigonometry and Chebyshev functions in finite fields. (English) Zbl 1512.11092 Finite Fields Appl. 86, Article ID 102143, 22 p. (2023). Reviewer: Neranga Fernando (Worcester) MSC: 11T06 12E10 33B10 PDFBibTeX XMLCite \textit{M. Saaltink}, Finite Fields Appl. 86, Article ID 102143, 22 p. (2023; Zbl 1512.11092) Full Text: DOI
Chetry, Arjun Singh; Kalita, Gautam Lauricella hypergeometric series \(F_A^{(n)}\) over finite fields. (English) Zbl 1502.33005 Ramanujan J. 57, No. 4, 1335-1354 (2022). MSC: 33C65 11T24 11L99 PDFBibTeX XMLCite \textit{A. S. Chetry} and \textit{G. Kalita}, Ramanujan J. 57, No. 4, 1335--1354 (2022; Zbl 1502.33005) Full Text: DOI arXiv
Dominici, Diego Orthogonality of the Dickson polynomials of the \((k+1)\)-th kind. (English) Zbl 1482.33005 Rev. Unión Mat. Argent. 62, No. 1, 1-30 (2021). Reviewer: Thomas Ernst (Uppsala) MSC: 33C45 11T06 26A42 28C05 PDFBibTeX XMLCite \textit{D. Dominici}, Rev. Unión Mat. Argent. 62, No. 1, 1--30 (2021; Zbl 1482.33005) Full Text: DOI arXiv
Saikia, Neelam Zeros of \(p\)-adic hypergeometric functions, \(p\)-adic analogues of Kummer’s and Pfaff’s identities. (English) Zbl 1453.11156 Pac. J. Math. 307, No. 2, 491-510 (2020). Reviewer: Yilmaz Simsek (Antalya) MSC: 11S80 11T24 33C20 33C99 33E50 PDFBibTeX XMLCite \textit{N. Saikia}, Pac. J. Math. 307, No. 2, 491--510 (2020; Zbl 1453.11156) Full Text: DOI arXiv
Proskurin, N. V. On some trigonometric sums related to the Airy function. (English. Russian original) Zbl 1469.11260 J. Math. Sci., New York 249, No. 1, 89-94 (2020); translation from Zap. Nauchn. Semin. POMI 479, 137-145 (2019). MSC: 11L03 33C10 33E50 PDFBibTeX XMLCite \textit{N. V. Proskurin}, J. Math. Sci., New York 249, No. 1, 89--94 (2020; Zbl 1469.11260); translation from Zap. Nauchn. Semin. POMI 479, 137--145 (2019) Full Text: DOI
Damaskinsky, E. V.; Sokolov, M. A. On differential operators for Chebyshev polynomials in several variables. (English. Russian original) Zbl 1479.42068 J. Math. Sci., New York 242, No. 5, 651-657 (2019); translation from Zap. Nauchn. Semin. POMI 473, 99-109 (2018). Reviewer: Edmundo J. Huertas (Madrid) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{E. V. Damaskinsky} and \textit{M. A. Sokolov}, J. Math. Sci., New York 242, No. 5, 651--657 (2019; Zbl 1479.42068); translation from Zap. Nauchn. Semin. POMI 473, 99--109 (2018) Full Text: DOI
Sokolov, M. A. Generating functions of Chebyshev polynomials in three variables. (English. Russian original) Zbl 1369.33019 J. Math. Sci., New York 213, No. 5, 786-794 (2016); translation from Zap. Nauchn. Semin. POMI 433, 246-259 (2015). MSC: 33C67 17B22 PDFBibTeX XMLCite \textit{M. A. Sokolov}, J. Math. Sci., New York 213, No. 5, 786--794 (2016; Zbl 1369.33019); translation from Zap. Nauchn. Semin. POMI 433, 246--259 (2015) Full Text: DOI arXiv
Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A. On calculation of generating functions of Chebyshev polynomials in several variables. (English) Zbl 1317.05012 J. Math. Phys. 56, No. 6, 063507, 11 p. (2015). MSC: 05A15 41A50 33C52 17B22 PDFBibTeX XMLCite \textit{E. V. Damaskinsky} et al., J. Math. Phys. 56, No. 6, 063507, 11 p. (2015; Zbl 1317.05012) Full Text: DOI arXiv
Moody, R. V.; Motlochová, L.; Patera, J. Gaussian cubature arising from hybrid characters of simple Lie groups. (English) Zbl 1317.65070 J. Fourier Anal. Appl. 20, No. 6, 1257-1290 (2014). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 33C52 22E46 43A80 41A55 41A63 PDFBibTeX XMLCite \textit{R. V. Moody} et al., J. Fourier Anal. Appl. 20, No. 6, 1257--1290 (2014; Zbl 1317.65070) Full Text: DOI arXiv
Hou, Xiangdong A class of permutation binomials over finite fields. (English) Zbl 1295.11135 J. Number Theory 133, No. 10, 3549-3558 (2013). MSC: 11T06 33C05 11T55 PDFBibTeX XMLCite \textit{X. Hou}, J. Number Theory 133, No. 10, 3549--3558 (2013; Zbl 1295.11135) Full Text: DOI arXiv
Diene, Adama; Salim, Mohamed A. Fixed points of the Dickson polynomials of the second kind. (English) Zbl 1266.33010 J. Appl. Math. 2013, Article ID 472350, 7 p. (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{A. Diene} and \textit{M. A. Salim}, J. Appl. Math. 2013, Article ID 472350, 7 p. (2013; Zbl 1266.33010) Full Text: DOI
He, Tian-Xiao; Shiue, Peter J.-S.; Weng, Tsui-Wei Sequences of numbers meet the generalized Gegenbauer-Humbert polynomials. (English) Zbl 1301.33017 ISRN Discrete Math. 2011, Article ID 674167, 16 p. (2011). MSC: 33C47 33C45 11B37 11B39 PDFBibTeX XMLCite \textit{T.-X. He} et al., ISRN Discrete Math. 2011, Article ID 674167, 16 p. (2011; Zbl 1301.33017) Full Text: DOI
Nesterenko, Maryna; Patera, Jiří; Tereszkiewicz, Agnieszka Orthogonal polynomials of compact simple Lie groups. (English) Zbl 1250.33016 Int. J. Math. Math. Sci. 2011, Article ID 969424, 23 p. (2011). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C52 33C45 33D52 22E46 33C80 05E05 PDFBibTeX XMLCite \textit{M. Nesterenko} et al., Int. J. Math. Math. Sci. 2011, Article ID 969424, 23 p. (2011; Zbl 1250.33016) Full Text: DOI arXiv
He, Tian-Xiao; Shiue, Peter J.-S. Sequences of non-Gegenbauer-Humbert polynomials meet the generalized Gegenbauer-Humbert polynomials. (English) Zbl 1221.33030 ISRN Algebra 2011, Article ID 268096, 18 p. (2011). MSC: 33D45 PDFBibTeX XMLCite \textit{T.-X. He} and \textit{P. J. S. Shiue}, ISRN Algebra 2011, Article ID 268096, 18 p. (2011; Zbl 1221.33030) Full Text: DOI
Moisio, Marko On the moments of Kloosterman sums and fibre products of Kloosterman curves. (English) Zbl 1140.11060 Finite Fields Appl. 14, No. 2, 515-531 (2008). Reviewer: Piroska Lakatos (Debrecen) MSC: 11T24 33D15 PDFBibTeX XMLCite \textit{M. Moisio}, Finite Fields Appl. 14, No. 2, 515--531 (2008; Zbl 1140.11060) Full Text: DOI arXiv
Natalini, P.; Ricci, P. E. Newton sum rules of polynomials defined by a three-term recurrence relation. (English) Zbl 0979.33006 Comput. Math. Appl. 42, No. 6-7, 767-771 (2001). Reviewer: Hari M.Srivastava (Victoria) MSC: 33C45 33F05 PDFBibTeX XMLCite \textit{P. Natalini} and \textit{P. E. Ricci}, Comput. Math. Appl. 42, No. 6--7, 767--771 (2001; Zbl 0979.33006) Full Text: DOI
Kwaśniewski, A. K. Remarks on recurrences on streams. (English) Zbl 0984.11011 Rep. Math. Phys. 47, No. 3, 363-369 (2001). Reviewer: N.Robbins (San Francisco) MSC: 11B39 11B83 33C65 PDFBibTeX XMLCite \textit{A. K. Kwaśniewski}, Rep. Math. Phys. 47, No. 3, 363--369 (2001; Zbl 0984.11011) Full Text: DOI
Shishkin, Andrei D. Some properties of special classes of orthogonal polynomials in two variables. (English) Zbl 0896.33005 Integral Transforms Spec. Funct. 5, No. 3-4, 261-272 (1997). Reviewer: H.-J.Glaeske (Jena) MSC: 33C50 PDFBibTeX XMLCite \textit{A. D. Shishkin}, Integral Transforms Spec. Funct. 5, No. 3--4, 261--272 (1997; Zbl 0896.33005) Full Text: DOI
Germano, B.; Natalini, P.; Ricci, P. E. Computing the moments of the density of zeros for orthogonal polynomials. (English) Zbl 0846.65005 Comput. Math. Appl. 30, No. 3-6, 69-81 (1995). Reviewer: J.Gilewicz (Marseille) MSC: 65D20 33C45 26C10 PDFBibTeX XMLCite \textit{B. Germano} et al., Comput. Math. Appl. 30, No. 3--6, 69--81 (1995; Zbl 0846.65005) Full Text: DOI
Beerends, R. J. Chebyshev polynomials in several variables and the radial part of the Laplace-Beltrami operator. (English) Zbl 0739.22008 Trans. Am. Math. Soc. 328, No. 2, 779-814 (1991). Reviewer: F.Rouvière (Nice) MSC: 22E30 33C50 33C80 33C45 43A75 PDFBibTeX XMLCite \textit{R. J. Beerends}, Trans. Am. Math. Soc. 328, No. 2, 779--814 (1991; Zbl 0739.22008) Full Text: DOI
Hoffman, Michael E.; Withers, William Douglas Generalized Chebyshev polynomials associated with affine Weyl groups. (English) Zbl 0681.33020 Trans. Am. Math. Soc. 308, No. 1, 91-104 (1988). Reviewer: A.Klimyk MSC: 33E99 33C80 17B20 33C45 PDFBibTeX XMLCite \textit{M. E. Hoffman} and \textit{W. D. Withers}, Trans. Am. Math. Soc. 308, No. 1, 91--104 (1988; Zbl 0681.33020) Full Text: DOI
Greene, John Hypergeometric functions over finite fields. (English) Zbl 0629.12017 Trans. Am. Math. Soc. 301, 77-101 (1987). Reviewer: Harald Niedereiter (Wien) MSC: 11T24 33C05 11L05 PDFBibTeX XMLCite \textit{J. Greene}, Trans. Am. Math. Soc. 301, 77--101 (1987; Zbl 0629.12017) Full Text: DOI
Dunn, Ken B.; Lidl, Rudolf Generalizations of the classical Chebyshev polynomials to polynomials in two variables. (English) Zbl 0511.33008 Czech. Math. J. 32(107), 516-528 (1982). MSC: 33C45 11T99 PDFBibTeX XMLCite \textit{K. B. Dunn} and \textit{R. Lidl}, Czech. Math. J. 32(107), 516--528 (1982; Zbl 0511.33008) Full Text: EuDML
Eier, Richard; Lidl, Rudolf A class of orthogonal polynomials in \(k\) variables. (English) Zbl 0474.33009 Math. Ann. 260, 93-99 (1982). MSC: 33C45 PDFBibTeX XMLCite \textit{R. Eier} and \textit{R. Lidl}, Math. Ann. 260, 93--99 (1982; Zbl 0474.33009) Full Text: DOI EuDML
Dunn, K. B.; Lidl, R. Multi-dimensional generalizations of the Chebyshev polynomials. II. (English) Zbl 0452.33014 Proc. Japan Acad., Ser. A 56, 160-165 (1980). MSC: 33C45 PDFBibTeX XMLCite \textit{K. B. Dunn} and \textit{R. Lidl}, Proc. Japan Acad., Ser. A 56, 160--165 (1980; Zbl 0452.33014) Full Text: DOI
Kaiser, H. K.; Lidl, R. Die Polynomlösungen spezieller partieller Differentialgleichungen. (German) Zbl 0364.33013 Monatsh. Math. 81, 109-117 (1976). MSC: 33C45 PDFBibTeX XMLCite \textit{H. K. Kaiser} and \textit{R. Lidl}, Monatsh. Math. 81, 109--117 (1976; Zbl 0364.33013) Full Text: DOI EuDML
Eier, R.; Lidl, R. Tschebyscheffpolynome in einer und zwei Variablen. (German) Zbl 0289.33028 Abh. Math. Semin. Univ. Hamb. 41, 17-27 (1974). MSC: 33C45 11B39 05B20 PDFBibTeX XMLCite \textit{R. Eier} and \textit{R. Lidl}, Abh. Math. Semin. Univ. Hamb. 41, 17--27 (1974; Zbl 0289.33028) Full Text: DOI