Orr, Daniel; Shimozono, Mark Wreath Macdonald polynomials, a survey. (English) Zbl 07915530 Can, Mahir Bilen (ed.) et al., Combinatorial and geometric representation theory. AMS special session, virtual, November 20–21, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 804, 123-169 (2024). MSC: 33-02 33D52 33D80 17B67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Odake, Satoru Another type of forward and backward shift relations for orthogonal polynomials in the Askey scheme. (English) Zbl 07915172 J. Math. Anal. Appl. 540, No. 1, Article ID 128591, 25 p. (2024). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33D45 33D15 39A70 81Q80 81U15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Moize, Othmane; Mouayn, Zouhaïr; Ahbli, Khalid \(q\)-deformed coherent states associated with the sequence \(x_n^{q,\alpha}=(1+\alpha q^{n-1})[n]_q\). (English) Zbl 07910995 Bol. Soc. Mat. Mex., III. Ser. 30, No. 3, Paper No. 73, 15 p. (2024). MSC: 33D15 33D45 05A30 11B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yadav, Ravindra Kumar Certain results involving Mock theta functions of order eight and ten. (English) Zbl 07900758 J. Rajasthan Acad. Phys. Sci. 23, No. 1-2, 56-62 (2024). MSC: 33D15 33D45 33C20 × Cite Format Result Cite Review PDF Full Text: Link
Desale, Bhausaheb S.; Kadu, Ganesh S. A general class of generating function for modified Laguerre polynomial. (English) Zbl 07892887 Gaṇita 74, No. 1, 23-30 (2024). MSC: 33C45 33C47 33D45 × Cite Format Result Cite Review PDF Full Text: Link
Motegi, Kohei; Ohkawa, Ryo Algebraic formulas and geometric derivation of source identities. (English) Zbl 07891933 J. Phys. A, Math. Theor. 57, No. 32, Article ID 325201, 46 p. (2024). MSC: 33D67 14H42 33D45 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Odake, Satoru; Sasaki, Ryu ‘Diophantine’ and factorization properties of finite orthogonal polynomials in the Askey scheme. (English) Zbl 07890814 J. Difference Equ. Appl. 30, No. 7, 820-848 (2024). MSC: 33D45 12D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hayashi, Masahito; Hora, Akihito; Yanagida, Shintarou \(q\)-Racah probability distribution. (English) Zbl 07887402 Ramanujan J. 64, No. 3, 963-990 (2024). MSC: 33D15 33D80 05A30 60E05 20C08 20C30 20C35 22E46 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mbouna, D.; Suzuki, A. Some Appell-type orthogonal polynomials on lattices. (English) Zbl 07887395 Ramanujan J. 64, No. 3, 807-822 (2024). MSC: 33D45 33C45 42C05 11B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Concha, Manuel; Lapointe, Luc Symmetry and Pieri rules for the bisymmetric Macdonald polynomials. (English) Zbl 07878025 Eur. J. Comb. 120, Article ID 103973, 31 p. (2024). MSC: 33D52 33D80 05E05 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belousov, N.; Derkachov, S.; Kharchev, S.; Khoroshkin, S. Baxter operators in Ruijsenaars hyperbolic system. I: Commutativity of \(Q\)-operators. (English) Zbl 07875071 Ann. Henri Poincaré 25, No. 7, 3207-3258 (2024). MSC: 81Q80 81U15 81R12 37J38 39A70 33C80 33D80 33D52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colmenarejo, Laura; Ram, Arun \(c\)-functions and Macdonald polynomials. (English) Zbl 07874668 J. Algebra 655, 163-222 (2024). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33D52 33D80 05E05 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dhaouadi, Lazhar; Saidani, Islem Linear transform that preserve real roots of polynomials. (English) Zbl 1540.33017 Anal. Math. Phys. 14, No. 3, Paper No. 65, 15 p. (2024). MSC: 33D15 42A16 42C10 33C10 26C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Richards, Donald; Zheng, Qifu A reflection formula for the Gaussian hypergeometric function of matrix argument. (English) Zbl 07852442 J. Math. Anal. Appl. 531, No. 2, Part 2, Article ID 127862, 9 p. (2024). Reviewer: Showkat Ahmad (Sopore) MSC: 33C05 33C50 33C70 15A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suzuki, A. Sturm’s comparison theorem for classical discrete orthogonal polynomials. (English) Zbl 07851977 Result. Math. 79, No. 4, Paper No. 153, 14 p. (2024). MSC: 30C15 05A30 33C45 33D15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Wei, Chuanan; Ruan, Guozhu Some double series for \(\pi\) and their \(q\)-analogues. (English) Zbl 1539.11156 J. Math. Anal. Appl. 537, No. 1, Article ID 128309, 12 p. (2024). MSC: 11Y60 11B65 05A30 33D45 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Sokal, Alan D. Multiple orthogonal polynomials, \(d\)-orthogonal polynomials, production matrices, and branched continued fractions. (English) Zbl 1536.42027 Trans. Am. Math. Soc., Ser. B 11, 762-797 (2024). MSC: 42C05 05A15 05A19 15A24 15A99 15B99 30B70 30E05 33C45 41A21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castillo, K.; Mbouna, D. A counterexample to a conjecture of M. Ismail. (English) Zbl 1535.33022 J. Math. Phys. 65, No. 3, Article ID 033507, 5 p. (2024). MSC: 33D45 33C45 33D80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Jing; Yang, DunKun; Bao, Qi Two \(q\)-operational equations and Hahn polynomials. (English) Zbl 1535.05036 Complex Anal. Oper. Theory 18, No. 3, Paper No. 53, 29 p. (2024). MSC: 05A30 33D45 33D90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khlifi, Mongia; Chammam, Wathek; Guo, Bai-Ni Several identities and relations related to \(q\)-analogues of Pochhammer \(k\)-symbol with applications to Fuss-Catalan-Qi numbers. (English) Zbl 07822266 Afr. Mat. 35, No. 1, Paper No. 21, 14 p. (2024). MSC: 11B83 11Y55 11C20 11B65 33C45 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Jian; Raza, Nusrat; Fadel, Mohammed Two-variable \(q\)-Laguerre polynomials from the context of quasi-monomiality. (English) Zbl 1537.33022 J. Math. Anal. Appl. 535, No. 2, Article ID 128126, 24 p. (2024). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33D70 33C70 33C45 33D45 05A30 05A10 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Ismail, Mourad E. H.; Zhou, Keru \(q\)-fractional integral operators with two parameters. (English) Zbl 1533.33026 Adv. Appl. Math. 154, Article ID 102638, 16 p. (2024). MSC: 33D45 47D03 33C45 45P05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Milas, Antun; Wang, Liuquan Modularity of Nahm sums for the tadpole diagram. (English) Zbl 07785371 Int. J. Number Theory 20, No. 1, 73-101 (2024). MSC: 11P84 33D15 33D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belousov, N.; Derkachov, S.; Kharchev, S.; Khoroshkin, S. Hypergeometric identities related to Ruijsenaars systems. (English) Zbl 1532.33028 J. Algebra 638, 918-930 (2024). MSC: 33D15 33D45 05A19 37J38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Jin; Ma, Xinrong A common recursive formula for Ramanujan’s \(_1\psi_1\) and Bailey’s very-well-poised \(_6\psi_6\) summation formulas. (English) Zbl 1527.33014 Proc. Am. Math. Soc. 152, No. 1, 163-175 (2024). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33D15 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Cohl, Howard S.; Volkmer, Hans Bilateral discrete and continuous orthogonality relations in the \(q^{-1}\)-symmetric Askey scheme. arXiv:2410.00246 Preprint, arXiv:2410.00246 [math.CA] (2024). MSC: 33D45 05A15 42C05 05E05 33D15 × Cite Format Result Cite Full Text: arXiv OA License
López, Ronald Orozco Deformed Homogeneous \((s,t)\)-Rogers-Szegö Polynomials and the Deformed \((s,t)\)-Exponential Operator e\(_{s,t}(y{\rm T}_a D_{s,t},v)\). arXiv:2409.06878 Preprint, arXiv:2409.06878 [math.CO] (2024). MSC: 05A30 11B39 33D15 33D45 × Cite Format Result Cite Full Text: arXiv OA License
Crampe, Nicolas; Frappat, Luc; Gaboriaud, Julien; Ragoucy, Eric Griffiths polynomials of \(q\)-Racah type. arXiv:2407.17016 Preprint, arXiv:2407.17016 [math-ph] (2024). MSC: 33D50 33D80 16G60 × Cite Format Result Cite Full Text: arXiv OA License
Watanabe, Yuta Terwilliger Algebra of the Ordered Hamming Scheme. arXiv:2407.06550 Preprint, arXiv:2407.06550 [math.CO] (2024). MSC: 05E30 15A72 33D50 × Cite Format Result Cite Full Text: arXiv OA License
Connes, Alain; Consani, Caterina; Moscovici, Henri On q-series and the moment problem associated to local factors. arXiv:2403.01247 Preprint, arXiv:2403.01247 [math.NT] (2024). MSC: 11B65 33D15 33C45 42C05 47B36 05A10 05A19 × Cite Format Result Cite Full Text: arXiv OA License
Bernstein, Joseph; Gourevitch, Dmitry; Sahi, Siddhartha Hypergeometric orthogonal polynomials of Jacobi type. arXiv:2401.14715 Preprint, arXiv:2401.14715 [math.CA] (2024). MSC: 33C45 33D45 × Cite Format Result Cite Full Text: arXiv OA License
Salahuddin; Chaudhary, M. P. Some definite integrals associated with hypergeometric functions. (English) Zbl 07859404 Honam Math. J. 45, No. 4, 682-688 (2023). MSC: 33B20 33C05 33C10 33D50 × Cite Format Result Cite Review PDF Full Text: DOI
Parveen, Sabahat; Mishra, B. P. Continued fractions for bilateral basic hypergeometric series. (English) Zbl 1536.33003 Math. Stud. 92, No. 1-2, 193-204 (2023). MSC: 33C20 33D45 × Cite Format Result Cite Review PDF
Singh, Satya Prakash; Singh, Ashish Pratap On certain results involving square of Ramanujan’s mock theta functions. (English) Zbl 07828510 South East Asian J. Math. Math. Sci. 19, No. 2, 157-162 (2023). MSC: 33C20 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
Min, Chao; Chen, Yang Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi-classical Laguerre polynomials and their Hankel determinants. (English) Zbl 1531.42052 Math. Methods Appl. Sci. 46, No. 14, 15270-15284 (2023). MSC: 42C05 33C45 33D45 33E17 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sghaier, M.; Zaatra, M.; Mechri, M. The symmetric \(H_q\)-Laguerre-Hahn orthogonal polynomials of class zero. (English) Zbl 1533.33017 Azerb. J. Math. 13, No. 1, 34-50 (2023). MSC: 33C45 33D45 42C05 39A70 × Cite Format Result Cite Review PDF Full Text: Link
Damelin, Steven B. Near extensions and alignment of data in \(R^n\). Whitney extensions of near isometries, shortest paths, equidistribution, clustering and non-rigid alignment of data in Euclidean space. (English) Zbl 07787146 Hoboken, NJ: John Wiley & Sons (ISBN 978-1-394-19677-7/hbk; 978-1-394-19681-4/ebook). xx, 164 p. (2023). MSC: 68-02 42-02 41-02 49-02 60-02 42B35 30H35 30E10 14Q15 53A45 58Z05 68P01 42B37 49J35 49J30 49J10 49J21 46-11 57Z25 68-11 68T09 62G05 41A05 62H30 46T20 26B05 68T45 41A50 15A72 05C38 33D50 58C25 65D18 68U10 94C30 68Q25 11K38 30E05 26E10 68Q17 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhi Guo A multiple \(q\)-translation formula and its implications. (English) Zbl 1535.33017 Acta Math. Sin., Engl. Ser. 39, No. 12, 2338-2363 (2023). Reviewer: Thomas Ernst (Uppsala) MSC: 33D05 33D15 33D45 05A30 39A13 41A58 32A05 30B10 × Cite Format Result Cite Review PDF Full Text: DOI
Guin, Satyajit; Saurabh, Bipul On the Clebsch-Gordan coefficients for the quantum group \(U_q (2)\). (English) Zbl 1530.58004 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 44, 20 p. (2023). MSC: 58B32 33D45 33D80 16W99 × Cite Format Result Cite Review PDF Full Text: DOI
Noumi, Masatoshi Macdonald polynomials. Commuting family of \(q\)-difference operators and their joint eigenfunctions. (English) Zbl 07779815 SpringerBriefs in Mathematical Physics 50. Singapore: Springer (ISBN 978-981-9945-86-3/pbk; 978-981-9945-87-0/ebook). viii, 132 p. (2023). MSC: 33-02 33D52 33D45 33D50 33D67 33D80 33C45 33C67 33C80 20C08 05E05 39A70 × Cite Format Result Cite Review PDF Full Text: DOI
Hounkonnou, Mahouton Norbert; Melong, Fridolin Quantum polynomials from deformed quantum algebras: probability distributions, generating functions and difference equations. (English) Zbl 07778494 Rev. Math. Phys. 35, No. 9, Article ID 2350019, 58 p. (2023). MSC: 33C45 33D45 17B37 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI
Crampé, Nicolas; Gaboriaud, Julien; Poulain d’Andecy, Loïc; Vinet, Luc Matrix elements of \(SO(3)\) in \(sl_3\) representations as bispectral multivariate functions. (English) Zbl 1531.33029 J. Math. Phys. 64, No. 11, Article ID 111702, 16 p. (2023). MSC: 33C80 81R12 33D45 81R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pétréolle, Mathias; Sokal, Alan D.; Zhu, Bao-Xuan Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. (English) Zbl 1528.05001 Memoirs of the American Mathematical Society 1450. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6268-0/pbk; 978-1-4704-7683-0/ebook). v, 154 p. (2023). MSC: 05-02 33-02 05A15 05A19 42C05 33C05 33C20 33D05 05A20 05C30 05E05 15B05 15B48 30B70 30E05 44A60 11B68 11A55 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhiguo A multiple \(q\)-exponential differential operational identity. (English) Zbl 07764465 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 6, 2449-2470 (2023). MSC: 33D05 33D15 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
Koornwinder, Tom H. Erratum to: “Charting the \(q\)-Askey scheme. II: The \(q\)-Zhedanov scheme”. (English) Zbl 1541.33015 Indag. Math., New Ser. 34, No. 6, 1419-1420 (2023). MSC: 33D45 33D80 × Cite Format Result Cite Review PDF Full Text: DOI
Odake, Satoru New finite-type multi-indexed orthogonal polynomials obtained from state-adding Darboux transformations. (English) Zbl 1531.33034 PTEP, Prog. Theor. Exper. Phys. 2023, No. 7, Article ID 073A01, 39 p. (2023). MSC: 33D45 33C90 33C45 39A13 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Singh, Satya Prakash; Rawat, Akash On certain results associated with the transformations of generalized hypergeometric series. (English) Zbl 1531.33014 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 37-44 (2023). MSC: 33C20 33D15 33D45 05A19 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cao, Jian; Arjika, Sama; Chaudhary, M. P. On Rogers-Ramanujan-Slater type theta function identity. (English) Zbl 1539.11136 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 29-36 (2023). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P84 11F27 05A30 11B65 33D15 33D45 33D60 39A13 39B32 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chea, Vutha Vichhea; Vinet, Luc; Zaimi, Meri; Zhedanov, Alexei An algebraic treatment of the Pastro polynomials on the real line. (English) Zbl 1539.39004 Proc. Am. Math. Soc. 151, No. 10, 4405-4418 (2023). Reviewer: Christoph Koutschan (Linz) MSC: 39A13 39A70 33C45 33D45 47B36 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borodachov, Sergiy Absolute minima of potentials of certain regular spherical configurations. (English) Zbl 1532.41001 J. Approx. Theory 294, Article ID 105930, 16 p. (2023). Reviewer: Peter Massopust (München) MSC: 41A05 05B30 31B99 33C45 33D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carreño, Juan Carlos López; Suárez, Rosalba Mendoza; Mendoza S., Jairo Alonso Connection between the Hermite and Gegenbauer polynomials using the Lewanowicz method. (English) Zbl 1524.33046 Int. J. Math. Comput. Sci. 18, No. 4, 627-636 (2023). MSC: 33C45 33D45 × Cite Format Result Cite Review PDF Full Text: Link
Van Peski, Roger Hall-Littlewood polynomials, boundaries, and \(p\)-adic random matrices. (English) Zbl 1518.60012 Int. Math. Res. Not. 2023, No. 13, 11217-11275 (2023). Reviewer: Pavel Stoynov (Sofia) MSC: 60B20 15B52 33D52 33D90 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McLaughlin, James Some more identities of Kanade-Russell type derived using Rosengren’s method. (English) Zbl 1530.33017 Ann. Comb. 27, No. 2, 329-352 (2023). MSC: 33D15 33D45 11P84 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Hanfei; Wang, Chun Families of identities involving universal mock theta functions. (English) Zbl 1533.33025 Int. J. Number Theory 19, No. 6, 1453-1472 (2023). Reviewer: M. P. Chaudhary (New Delhi) MSC: 33D15 33D45 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Back, Allen; Oersted, Bent; Sahi, Siddhartha; Speh, Birgit Askey-Wilson polynomials and branching laws. (English) Zbl 1535.33025 J. Lie Theory 33, No. 1, 29-77 (2023). MSC: 33D80 33D45 20C08 17B37 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Cohl, Howard S.; Costas-Santos, Roberto S. Utility of integral representations for basic hypergeometric functions and orthogonal polynomials. (English) Zbl 07695122 Ramanujan J. 61, No. 2, 649-674 (2023). MSC: 33D45 33D15 33D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kar, Pinaki Prasad; Gochhayat, Priyabrat Interlacing and bounds of zeros of quasi-orthogonal little \(q\)-Jacobi polynomials. (English) Zbl 07694963 Numer. Algorithms 93, No. 3, 1157-1170 (2023). MSC: 65-XX 33C45 33D15 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zexin; Narayan, Akil A Stieltjes algorithm for generating multivariate orthogonal polynomials. (English) Zbl 1515.65045 SIAM J. Sci. Comput. 45, No. 3, A1125-A1147 (2023). MSC: 65D15 33D50 42C05 65Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosengren, Hjalmar Proofs of some partition identities conjectured by Kanade and Russell. (English) Zbl 1523.11189 Ramanujan J. 61, No. 1, 295-317 (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 33D15 33D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Saadi, Faouaz; Daher, Radouan Absolutely convergent Fourier-Bessel series and generalized Lipschitz classes. (English) Zbl 1533.43006 Mediterr. J. Math. 20, No. 3, Paper No. 125, 10 p. (2023). MSC: 43A50 42C10 43A30 46E35 33D60 × Cite Format Result Cite Review PDF Full Text: DOI
He, Bing On a generalized homogeneous Hahn polynomial. (English) Zbl 1530.33019 Sci. China, Math. 66, No. 5, 957-976 (2023). MSC: 33D45 33D15 05A15 30D15 30E15 30C15 05A10 × Cite Format Result Cite Review PDF Full Text: DOI
Akel, Mohamed; Bakhet, Ahmed; Abdalla, Mohamed; He, Fuli On degenerate gamma matrix functions and related functions. (English) Zbl 1521.15007 Linear Multilinear Algebra 71, No. 4, 673-691 (2023). MSC: 15A16 33B15 33C05 33C45 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Saadi, Faouaz; Daher, Radouan Absolutely convergent Fourier-Jacobi series and generalized Lipschitz classes. (English) Zbl 1523.43003 Integral Transforms Spec. Funct. 34, No. 4, 334-345 (2023). MSC: 43A30 33D60 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Shibukawa, Genki; Tsuchimi, Satoshi A generalization of Zwegers’ \(\mu\)-function according to the \(q\)-Hermite-Weber difference equation. (English) Zbl 1530.39004 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 014, 23 p. (2023). MSC: 39A13 11B85 33D15 33D45 33D70 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cohl, Howard S.; Costas-Santos, Roberto S. Nonterminating transformations and summations associated with some \(q\)-Mellin-Barnes integrals. (English) Zbl 07680278 Adv. Appl. Math. 147, Article ID 102517, 46 p. (2023). MSC: 33D60 33D45 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Jian; Zhou, Hong-Li; Arjika, Sama Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications. (English) Zbl 1511.05019 Ramanujan J. 60, No. 4, 1033-1067 (2023). Reviewer: Uğur Duran (Iskenderun) MSC: 05A30 33D15 33D45 05A40 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ying; Zhang, Wenlong; Zhang, Jingjing Several \(q\)-series transformation formulas and new Hecke-Rogers type series identities. (English) Zbl 1509.05033 Ramanujan J. 60, No. 3, 627-657 (2023). MSC: 05A30 33C45 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Munarini, Emanuele Two-parameter identities for \(q\)-Appell polynomials. (English) Zbl 1509.05032 J. Integer Seq. 26, No. 3, Article 23.3.1, 20 p. (2023). MSC: 05A30 05A19 05A40 11B65 11B68 33C45 33D45 × Cite Format Result Cite Review PDF Full Text: Link
Yamaguchi, Kohei; Yanagida, Shintarou Specializing Koornwinder polynomials to Macdonald polynomials of type \(B\), \(C\), \(D\) and \(BC\). (English) Zbl 1531.33035 J. Algebr. Comb. 57, No. 1, 171-226 (2023). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33D52 33D67 33D80 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koornwinder, Tom H. Charting the \(q\)-Askey scheme. II. The \(q\)-Zhedanov scheme. (English) Zbl 1537.33021 Indag. Math., New Ser. 34, No. 2, 317-337 (2023); erratum ibid. 34, No. 6, 1419-1420 (2023). MSC: 33D45 33D80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Cao, Jian; Srivastava, H. M. A class of iterated fractional \(q\)-integrals and their applications. (English) Zbl 1504.26013 J. Nonlinear Convex Anal. 24, No. 1, 119-138 (2023). MSC: 26A33 33D15 33D45 11B65 33D60 39A13 39B32 × Cite Format Result Cite Review PDF Full Text: Link
Sadjang, P. Njionou; Sawalda, D. Kalda; Mboutngam, S.; Foupouagnigni, M.; Koepf, W. On non-linear characterizations of classical orthogonal polynomials. (English) Zbl 1524.33059 Mediterr. J. Math. 20, No. 1, Paper No. 10, 32 p. (2023). MSC: 33C45 33D45 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kar, Pinaki Prasad; Jordaan, Kerstin; Gochhayat, Priyabrat Stieltjes interlacing of zeros of little \(q\)-Jacobi and \(q\)-Laguerre polynomials from different sequences. (English) Zbl 07644408 Numer. Algorithms 92, No. 1, 723-746 (2023). MSC: 65-XX 33D15 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
Forrester, Peter J.; Li, Shi-Hao; Shen, Bo-Jian; Yu, Guo-Fu \(q\)-Pearson pair and moments in \(q\)-deformed ensembles. (English) Zbl 1528.33023 Ramanujan J. 60, No. 1, 195-235 (2023). MSC: 33E20 33C45 33D05 33D15 33D45 15B52 60B20 05A30 39A13 44A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martínez, Noé; Arceo, Alejandro; Rodríguez-Hernández, Andrea; Garza, Luis E.; Romero, Gerardo Zero dynamics for a class of robustly stable polynomials. (English) Zbl 1524.33057 J. Comput. Appl. Math. 423, Article ID 114972, 13 p. (2023). MSC: 33C45 33D45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Marriaga, Misael E. On Sobolev orthogonal polynomials on a triangle. (English) Zbl 1527.33008 Proc. Am. Math. Soc. 151, No. 2, 679-691 (2023). MSC: 33C50 33D50 33D45 33C45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cohl, Howard S.; Costas-Santos, Roberto S. Symmetry of terminating basic hypergeometric series representations of the Askey-Wilson polynomials. (English) Zbl 1520.33011 J. Math. Anal. Appl. 517, No. 1, Article ID 126583, 15 p. (2023). MSC: 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neha; Swaminathan, A. Orthogonality of a new family of \(q\)-Sobolev type polynomials. arXiv:2312.04340 Preprint, arXiv:2312.04340 [math.CA] (2023). MSC: 33D15 42C05 33D45 × Cite Format Result Cite Full Text: arXiv OA License
Schlösser, Philip Intermediate Macdonald Polynomials and Their Vector Versions. arXiv:2310.17362 Preprint, arXiv:2310.17362 [math.RT] (2023). MSC: 33D52 33D80 20C08 × Cite Format Result Cite Full Text: arXiv OA License
Lima, Hélder Bidiagonal matrix factorisations associated with symmetric multiple orthogonal polynomials and lattice paths. arXiv:2308.03561 Preprint, arXiv:2308.03561 [math.CA] (2023). MSC: 15B99 33C45 42C05 05A19 15A99 15B48 30C15 30E05 33C20 × Cite Format Result Cite Full Text: arXiv OA License
Cohl, Howard S.; Costas-Santos, Roberto S. A \(q\)-Chaundy representation for the product of two nonterminating basic hypergeometric series and symmetric and dual relations. arXiv:2307.04884 Preprint, arXiv:2307.04884 [math.CA] (2023). MSC: 33D45 05A15 42C05 33D15 × Cite Format Result Cite Full Text: arXiv OA License
Albion, Seamus P.; Rains, Eric M.; Warnaar, S. Ole Elliptic \(\mathrm{A}_n\) Selberg integrals. arXiv:2306.02442 Preprint, arXiv:2306.02442 [math.CA] (2023). MSC: 05E05 33D52 33D67 33E05 × Cite Format Result Cite Full Text: arXiv OA License
Damelin, S. B. Whitney extensions and orthonormal expansions. arXiv:2302.08045 Preprint, arXiv:2302.08045 [math.CA] (2023). MSC: 46T20 26B05 42B35 68T45 41A50 41A05 14Q15 15A72 05C38 30E10 33D50 × Cite Format Result Cite Full Text: arXiv OA License
Choi, J.; Shilin, I. A. A generalization of certain associated Bessel functions in connection with a group of shifts. (English) Zbl 07888809 Commun. Math. 30, No. 1, 103-115 (2022). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33C80 33C10 33B15 33C05 33D52 22E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Cao, Jian; Arjika, Sama; Chaudhary, M. P. A note on Rogers-Ramanujan-Slater type theta function identity. (English) Zbl 1517.11130 J. Ramanujan Soc. Math. Math. Sci. 10, No. 1, 31-38 (2022). MSC: 11P84 11F27 05A30 33D15 33D45 33D60 39A13 39B32 × Cite Format Result Cite Review PDF Full Text: DOI Link
Sasaki, Ryu Exactly solvable discrete time birth and death processes. (English) Zbl 1508.39011 J. Math. Phys. 63, No. 6, Article ID 063305, 20 p. (2022). MSC: 39A36 33C45 33D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Odake, Satoru; Sasaki, Ryu Markov chains generated by convolutions of orthogonality measures. (English) Zbl 1507.60095 J. Phys. A, Math. Theor. 55, No. 27, Article ID 275201, 42 p. (2022). MSC: 60J10 33C45 33D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saadi, Faouaz; Daher, Radouan Fourier-Bessel series of Lipschitz functions in weighted spaces \(L_p([0, 1], t^{2\alpha +1}dt)\). (English) Zbl 1502.42021 Anal. Math. Phys. 12, No. 6, Paper No. 137, 13 p. (2022). MSC: 42C10 42B35 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Koelink, Erik (ed.); Kolb, Stefan (ed.); Reshetikhin, Nicolai (ed.); Vlaar, Bart (ed.) Hypergeometry, integrability and Lie theory. Virtual conference, Lorentz Center, Leiden, the Netherlands, December 7–11, 2020. (English) Zbl 1496.17001 Contemporary Mathematics 780. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6520-9/pbk; 978-1-4704-7134-7/ebook). xii, 347 p. (2022). MSC: 17-06 17B80 33C80 43A90 13-06 13A35 16S38 17B37 17B67 33C60 33C67 33D45 60J60 00B25 00B30 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Hau-Wen Finite-dimensional irreducible modules of the universal DAHA of type \((C_1^\vee ,C_1)\). (English) Zbl 1510.20008 Linear Multilinear Algebra 70, No. 15, 2856-2883 (2022). MSC: 20C08 33D45 33D80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gupta, Vijay; Milovanović, Gradimir V. A solution to exponential operators. (English) Zbl 1520.41005 Result. Math. 77, No. 5, Paper No. 207, 8 p. (2022). MSC: 41A35 33C45 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
Hatano, Naoya; Matsunawa, Ryuya; Sato, Tomoki; Takemura, Kouichi Variants of \(q\)-hypergeometric equation. (English) Zbl 1517.39002 Funkc. Ekvacioj, Ser. Int. 65, No. 2, 159-190 (2022). MSC: 39A13 39A12 33C05 33C45 33C65 33D15 05A30 11B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castillo, K.; Mbouna, D.; Petronilho, J. On the functional equation for classical orthogonal polynomials on lattices. (English) Zbl 1520.33005 J. Math. Anal. Appl. 515, No. 1, Article ID 126390, 27 p. (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 33C45 33D45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Jain, Pankaj; Basu, Chandrani; Panwar, Vivek Two-dimensional \((P,Q)\)-Mellin transform and applications. (English) Zbl 1500.44004 Asian-Eur. J. Math. 15, No. 5, Article ID 2250081, 20 p. (2022). MSC: 44A20 33D05 33D50 33D60 33D90 44A05 × Cite Format Result Cite Review PDF Full Text: DOI
Weintraub, Steven H. Reverse Legendre polynomials. (English) Zbl 1493.42045 Arch. Math. 118, No. 6, 593-604 (2022). Reviewer: Pierluigi Vellucci (Roma) MSC: 42C05 33C45 05A10 15A99 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Area, I.; Tefo, Y. Guemo Monic bivariate polynomials on quadratic and \(q\)-quadratic lattices. (English) Zbl 1510.33016 Mediterr. J. Math. 19, No. 3, Paper No. 132, 18 p. (2022). MSC: 33D50 33C45 33D45 33E30 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Sokal, Alan D.; Zeng, Jiang Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions. (English) Zbl 1487.05032 Adv. Appl. Math. 138, Article ID 102341, 122 p. (2022). MSC: 05A19 05A05 05A10 05A15 05A18 05A30 30B70 33C45 33D45 11A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Dinkins, Hunter; Smirnov, Andrey Capped vertex with descendants for zero dimensional \(A_\infty\) quiver varieties. (English) Zbl 1492.14011 Adv. Math. 401, Article ID 108324, 30 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 14C35 16G20 19L47 33C80 39A70 16E20 14N99 33D52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhong, Wei-Ping; Zhong, WenYe; Belić, Milivoj; Yang, Zhengping Controllable two-dimensional diffraction-free polygon beams. (English) Zbl 1495.35164 Phys. Lett., A 432, Article ID 128009, 5 p. (2022). Reviewer: Fabrizio Davì (Ancona) MSC: 35Q60 35L05 78A40 78A60 33C45 78M99 × Cite Format Result Cite Review PDF Full Text: DOI
Ismail, Mourad E. H.; Zhang, Ruiming Integral and series representations of \(q\)-polynomials and functions. III: Theta, Ramanujan and \(q\)-Bessel functions. (English) Zbl 1506.33010 Anal. Appl., Singap. 20, No. 1, 1-18 (2022). MSC: 33D15 33D05 33D45 33D60 × Cite Format Result Cite Review PDF Full Text: DOI