Souissi, Jihad; Hamdi, Sabrine Diverse characterizations of \(q\)-Dunkl classical orthogonal polynomials. (English) Zbl 07917826 J. Difference Equ. Appl. 30, No. 9, 1253-1284 (2024). MSC: 33C45 33C80 42C05 47E07 39A70 20F55 × Cite Format Result Cite Review PDF Full Text: DOI
Jbeli, Sobhi Description of the symmetric \(H_q\)-Laguerre-Hahn orthogonal \(q\)-polynomials of class one. (English) Zbl 07915706 Period. Math. Hung. 89, No. 1, 86-106 (2024). MSC: 33C45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
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
Chaggara, H.; Gahami, A.; Ben Romdhane, N. Some expansion formulas for Brenke polynomial sets. (English) Zbl 07901581 Integral Transforms Spec. Funct. 35, No. 9, 421-436 (2024). MSC: 33C47 33C45 39A70 41A10 41A58 44A45 × 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
Bożejko, Marek; Bożejko, Wojciech Deformations and \(q\)-convolutions. Old and new results. (English) Zbl 07885443 Complex Anal. Oper. Theory 18, No. 6, Paper No. 130, 13 p. (2024). MSC: 47-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Jbeli, S. A new characterization of \(q\)-Chebyshev polynomials of the second kind. (English) Zbl 07879993 Probl. Anal. Issues Anal. 13(31), No. 2, 49-62 (2024). MSC: 33C45 42C05 05A30 39A12 39A70 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Belousov, N.; Derkachov, S.; Kharchev, S.; Khoroshkin, S. Baxter operators in Ruijsenaars hyperbolic system. II: Bispectral wave functions. (English) Zbl 07875072 Ann. Henri Poincaré 25, No. 7, 3259-3296 (2024). MSC: 81U15 81Q80 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jing, Naihuan; Liu, Ning A multiparametric Murnaghan-Nakayama rule for Macdonald polynomials. (English) Zbl 07874978 J. Comb. Theory, Ser. A 207, Article ID 105920, 34 p. (2024). MSC: 33D52 33D45 11B65 05E05 20C30 20B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Albion, Seamus P. Proof of some Littlewood identities conjectured by Lee, Rains and Warnaar. (English) Zbl 1541.05179 Proc. Am. Math. Soc., Ser. B 11, 133-146 (2024). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05E05 33D05 33D52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simsek, Yilmaz Formulas for \(p\)-adic \(q\)-integrals including falling-rising factorials, combinatorial sums and special numbers. (English) Zbl 07862421 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 92, 52 p. (2024). MSC: 11S80 11B68 05A15 05A19 11M35 30C15 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Douak, Khalfa On the \(D_\omega\)-classical orthogonal polynomials. (English) Zbl 1541.33011 Mediterr. J. Math. 21, No. 3, Paper No. 104, 27 p. (2024). MSC: 33C45 33E30 39A13 39A12 39A70 × 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
Srivastava, H. M.; Souissi, Jihad; Khalfallah, Mohamed Some characterizations of the symmetric \(q\)-Dunkl-semiclassical orthogonal \(q\)-polynomials. (English) Zbl 07834231 J. Difference Equ. Appl. 30, No. 3, 377-407 (2024). Reviewer: Lotfi Khériji (Tunis) MSC: 33C45 33C47 42C05 39A70 39A13 44A45 × Cite Format Result Cite Review PDF Full Text: DOI
Souissi, Jihad; Khalfallah, Mohamed Symmetric \(q\)-Dunkl-coherent pairs. (English) Zbl 1537.33013 Mediterr. J. Math. 21, No. 2, Paper No. 45, 26 p. (2024). MSC: 33C45 42C05 44A55 39A70 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
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
Chern, Shane; Jiu, Lin Hankel determinants and Jacobi continued fractions for \(q\)-Euler numbers. (English) Zbl 07816892 C. R., Math., Acad. Sci. Paris 362, 203-216 (2024). MSC: 11B68 11A55 33D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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
Xu, Ce; Zhao, Jianqiang Apéry-type series and colored multiple zeta values. (English) Zbl 1541.11075 Adv. Appl. Math. 153, Article ID 102610, 46 p. (2024). Reviewer: Sami Omar (Sukhair) MSC: 11M32 11B65 42C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Zhineng; Rosengren, Hjalmar; Wang, Liuquan On some double Nahm sums of Zagier. (English) Zbl 1531.05016 J. Comb. Theory, Ser. A 202, Article ID 105819, 13 p. (2024). MSC: 05A19 05A30 11P84 33D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prasad, Amritanshu; Ram, Samrith Enumeration of anti-invariant subspaces and Touchard’s formula for the entries of the \(q\)-Hermite Catalan matrix. (English) Zbl 1530.05009 Adv. Appl. Math. 154, Article ID 102654, 18 p. (2024). MSC: 05A15 05A19 33C45 15A21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Al-Towailb, M.; Mansour, Z. S. I. The \(q\)-Lidstone series involving \(q\)-Bernoulli and \(q\)-Euler polynomials generated by the third Jackson \(q\)-Bessel function. (English) Zbl 1536.33022 Kyoto J. Math. 64, No. 1, 205-228 (2024). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33D45 41A58 11B68 30B10 30E20 39A13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ghanmi, Allal; Lamsaf, Khalil Two-dimensional \((p, q)\)-heat polynomials of Gould-Hopper type. (English) Zbl 1540.33012 J. Math. Anal. Appl. 530, No. 1, Article ID 127682, 18 p. (2024). Reviewer: Norbert Hounkonnou (Cotonou) MSC: 33C47 33C20 33C45 33C50 33C70 33E30 32W30 32A08 32E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Ming-Jian; Zhu, Bao-Xuan Some results related to Hurwitz stability of combinatorial polynomials. (English) Zbl 07757075 Adv. Appl. Math. 152, Article ID 102591, 39 p. (2024). MSC: 26C10 93Dxx 33C45 30B70 × Cite Format Result Cite Review PDF Full Text: DOI
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
Carlsson, Erik; Chou, Raymond A descent basis for the Garsia-Procesi module. arXiv:2403.16278 Preprint, arXiv:2403.16278 [math.RT] (2024). MSC: 33D52 05E10 05A30 × 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
Habbachi, Yahia A new characterization of symmetric Dunkl and \(q\)-Dunkl-classical orthogonal polynomials. (English) Zbl 07882023 Ural Math. J. 9, No. 2, 109-120 (2023). MSC: 33E30 39A70 39A06 33C45 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Souissi, Jihad The \(q\)-analog of the Rodrigues formula for symmetric \(q\)-Dunkl-classical orthogonal \(q\)-polynomials. (English) Zbl 07877802 Methods Funct. Anal. Topol. 29, No. 1, 73-80 (2023). MSC: 33C45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Doğan Çalışır, Ayşe; Turan, Mehmet; Sevinik Adıgüzel, Rezan Spectrum of a \(q\)-deformed Schrödinger equation by means of the variational method. (English) Zbl 1536.34080 Math. Methods Appl. Sci. 46, No. 18, 18693-18705 (2023). MSC: 34L40 34L15 05A30 81Q05 33D45 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Kato, Masaki On \(q\)-analogues of zeta functions of root systems. II. (English) Zbl 1534.33016 Tokyo J. Math. 46, No. 2, 491-522 (2023). MSC: 33D52 33C52 05A30 17B22 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
Agrawal, Purshottam Narain; Shukla, Rahul; Baxhaku, Behar Characterization of deferred type statistical convergence and \(P\)-summability method for operators: applications to \(q\)-Lagrange-Hermite operator. (English) Zbl 1533.41006 Math. Methods Appl. Sci. 46, No. 4, 4449-4465 (2023). Reviewer: Hemant Kumar Nashine (Vellore) MSC: 41A25 41A36 33C45 26A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nasiruzzaman, Md.; Aljohani, A. F. Approximation by \(\alpha\)-Bernstein-Schurer operators and shape preserving properties via \(q\)-analogue. (English) Zbl 1530.41015 Math. Methods Appl. Sci. 46, No. 2, 2354-2372 (2023). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A25 41A36 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Filipuk, Galina; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Second-order difference equation for Sobolev-type orthogonal polynomials. II: Computational tools. (English) Zbl 1533.33029 East Asian J. Appl. Math. 13, No. 4, 960-979 (2023). MSC: 33E30 39A13 39A70 33F10 33C45 42C05 × 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
Savaş, Ekrem; Mursaleen, Mohammad Bézier type Kantorovich \(q\)-Baskakov operators via wavelets and some approximation properties. (English) Zbl 1530.41020 Bull. Iran. Math. Soc. 49, No. 5, Paper No. 68, 14 p. (2023). MSC: 41A36 41A25 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
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
Kouba, Omran Binomial identities obtained from the Gegenbauer series expansion. (English) Zbl 07765877 Integral Transforms Spec. Funct. 34, No. 12, 947-964 (2023). Reviewer: Elaine Wong (Oak Ridge) MSC: 33C45 33F05 33C05 42C10 05A19 05A10 11B65 40A05 40A30 × Cite Format Result Cite Review PDF Full Text: DOI
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
Kahler, Stefan Harmonic analysis of little \(q\)-Legendre polynomials. (English) Zbl 1537.33020 J. Approx. Theory 295, Article ID 105946, 21 p. (2023). Reviewer: Arash Ghaani Farashahi (Wien) MSC: 33D45 42C10 43A30 43A62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Joshi, Nalini; Latimer, Tomas Lasic Asymptotic behaviours of \(q\)-orthogonal polynomials from a \(q\)-Riemann Hilbert problem. (English) Zbl 1531.33021 Constr. Approx. 58, No. 1, 151-179 (2023). MSC: 33C45 34M50 34M30 39A13 39A12 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dağlı, Muhammet Cihat A new orthogonal polynomial associated with a generalization of Delannoy numbers. (English) Zbl 1531.33019 Bull. Sci. Math. 187, Article ID 103290, 12 p. (2023). MSC: 33C45 05A10 11B65 05A15 11B75 × Cite Format Result Cite Review PDF Full Text: DOI
Rebei, Habib; Riahi, Anis; Chammam, Wathek Hankel determinant of linear combination of the shifted Catalan numbers. (English) Zbl 1532.11040 Linear Multilinear Algebra 71, No. 11, 1829-1848 (2023). MSC: 11C20 05A10 11B65 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
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
Joshi, Nalini; Lasic Latimer, Tomas Asymptotics of discrete \(q\)-Freud II orthogonal polynomials from the \(q\)-Riemann Hilbert problem. (English) Zbl 1530.33020 Nonlinearity 36, No. 8, 3969-4006 (2023). MSC: 33D45 33D05 34M50 39A13 39A12 05A30 11B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gessel, Ira M.; Zeng, Jiang Moments of orthogonal polynomials and exponential generating functions. (English) Zbl 1539.33009 Ramanujan J. 61, No. 2, 675-700 (2023). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 33C45 33C20 05A15 05A19 05A30 11B75 11B83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koornwinder, Tom H. Dual addition formulas: the case of continuous \(q\)-ultraspherical and \(q\)-Hermite polynomials. (English) Zbl 1530.33021 Ramanujan J. 61, No. 2, 425-444 (2023). MSC: 33D45 39B12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei The rational Heun operator and Wilson biorthogonal functions. (English) Zbl 07690247 Ramanujan J. 61, No. 1, 7-29 (2023). MSC: 39A70 39A13 39A12 33D45 33C47 37J38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hancco Suni, M.; Marcellán, F.; Sri Ranga, A. Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a \(q\)-difference operator. (English) Zbl 1539.33016 J. Difference Equ. Appl. 29, No. 3, 315-343 (2023). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 33D45 42C05 39A70 39A13 × Cite Format Result Cite Review PDF Full Text: DOI
van Diejen, Jan Felipe Spectrum and orthogonality of the Bethe ansatz for the periodic \(q\)-difference Toda chain on \(\mathbb{Z}_{m+1}\). (English) Zbl 1538.81031 Ann. Henri Poincaré 24, No. 6, 1877-1895 (2023). MSC: 81Q80 82B23 33D52 39A13 37K60 05E05 81Q35 × 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
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
Jang, Jihyeug; Kim, Donghyun; Kim, Jang Soo; Song, Minho; Song, U-Keun Negative moments of orthogonal polynomials. (English) Zbl 1536.33006 Forum Math. Sigma 11, Paper No. e22, 34 p. (2023). MSC: 33C45 42C05 05A15 05A19 05A30 11C20 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO OA License
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
Jbeli, S.; Khériji, L. On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials. (English) Zbl 1524.33053 Period. Math. Hung. 86, No. 1, 115-138 (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Voit, Michael Positivity of Gibbs states on distance-regular graphs. (English) Zbl 1511.05067 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 1, Article ID 2250026, 23 p. (2023). MSC: 05C12 33C45 43A62 81R12 20N20 43A90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Rukhin, Andrew L. Orthogonal polynomials for self-dual weights. (English) Zbl 1519.42026 J. Approx. Theory 288, Article ID 105865, 20 p. (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 42C05 60B05 60A10 15B52 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Wenchang; Campbell, John M. Expansions over Legendre polynomials and infinite double series identities. (English) Zbl 1535.33003 Ramanujan J. 60, No. 2, 317-353 (2023). MSC: 33C05 33C45 33C20 33F05 41A60 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
van Diejen, J. F. Genus zero \(\widehat{\mathfrak{su}}(n)_m\) Wess-Zumino-Witten fusion rules via Macdonald polynomials. (English) Zbl 1519.81457 Commun. Math. Phys. 397, No. 3, 967-994 (2023). MSC: 81T40 05E05 05E10 18M20 20G43 33D52 62F10 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
Corteel, Sylvie; Jonnadula, Bhargavi; Keating, Jonathan P.; Kim, Jang Soo Lecture hall graphs and the Askey scheme. arXiv:2311.12761 Preprint, arXiv:2311.12761 [math.CO] (2023). MSC: 05A15 33D45 05A10 05A19 05A30 × Cite Format Result Cite Full Text: arXiv OA License
Khan, Subuhi; Nahid, Tabinda Certain results associated with hybrid relatives of the \(q\)-Sheffer sequences. (English) Zbl 07801824 Bol. Soc. Parana. Mat. (3) 40, Paper No. 36, 15 p. (2022). MSC: 33D45 11B68 11B83 × Cite Format Result Cite Review PDF Full Text: DOI 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
Nandini, P.; Latha, S. Certain subclass of bi-univalent functions related to Horadam polynomials associated with \(q \)-derivative. (English) Zbl 1538.30059 South East Asian J. Math. Math. Sci. 18, No. 3, 153-160 (2022). MSC: 30C45 30C10 33C45 × Cite Format Result Cite Review PDF Full Text: Link
Nemri, Akram \(q\)-Littlewood-Paley \(g\)-function. (English) Zbl 1507.42018 J. Math. Inequal. 16, No. 4, 1587-1603 (2022). MSC: 42B25 42B10 42B15 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
van Diejen, Jan; Görbe, Tamás Elliptic Ruijsenaars difference operators on bounded partitions. (English) Zbl 1530.39013 Int. Math. Res. Not. 2022, No. 24, 19335-19353 (2022). MSC: 39A70 39A13 33E05 05A17 33D52 81Q35 81Q80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Volosivets, S. S.; Mingachev, A. N. On the magnitude of Fourier coefficients with respect to the character system of \(\mathbb Z_p\). (English) Zbl 1506.42003 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 4, 316-324 (2022). MSC: 42A16 42B35 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Ismail, Mourad E. H.; Zhang, Ruiming; Zhou, Keru \(q\)-fractional Askey-Wilson integrals and related semigroups of operators. (English) Zbl 07631007 Physica D 442, Article ID 133534, 15 p. (2022). MSC: 47D03 26A33 33D45 41A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khan, Waseem A.; Haroon, Hiba Higher order degenerate Hermite-Bernoulli polynomials arising from \(p\)-adic integrals on \(\mathbb{Z}_p\). (English) Zbl 1499.11357 Iran. J. Math. Sci. Inform. 17, No. 2, 171-189 (2022). MSC: 11S80 11B65 11S23 33C45 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kiliçman, Adem; Ayman-Mursaleen, Mohammad; Nasiruzzaman, Md. A note on the convergence of Phillips operators by the sequence of functions via \(q\)-calculus. (English) Zbl 1522.41008 Demonstr. Math. 55, 615-633 (2022). MSC: 41A25 33C45 41A36 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Pathan, Mahmood Ahmad; Khan, Wassem Ahmad On a class of generalized Humbert-Hermite polynomials via generalized Fibonacci polynomials. (English) Zbl 1511.11019 Turk. J. Math. 46, No. 3, 929-945 (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 11B39 05A19 33C45 33C55 33C99 × Cite Format Result Cite Review PDF Full Text: DOI
Bussière, Ismaël; Gaboriaud, Julien; Vinet, Luc; Zhedanov, Alexei Bispectrality and biorthogonality of the rational functions of \(q\)-Hahn type. (English) Zbl 1519.33012 J. Math. Anal. Appl. 516, No. 1, Article ID 126443, 17 p. (2022). MSC: 33D45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Szabłowski, Paweł J. Multivariate generating functions built from Chebyshev polynomials and some of their applications and generalizations. (English) Zbl 1492.42033 Colloq. Math. 169, No. 1, 141-170 (2022). MSC: 42C10 05A15 33C47 26B35 40B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mejri, M. \(q\)-Chebyshev polynomials and their \(q\)-classical characters. (English) Zbl 1492.33007 Probl. Anal. Issues Anal. 11(29), No. 1, 81-101 (2022). MSC: 33C45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI MNR 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
Castillo, K.; Mbouna, D.; Petronilho, J. A characterization of continuous \(q\)-Jacobi, Chebyshev of the first kind and Al-Salam chihara polynomials. (English) Zbl 1493.33019 J. Math. Anal. Appl. 514, No. 2, Article ID 126358, 16 p. (2022). Reviewer: Roberto S. Costas-Santos (Alcalá) MSC: 33D45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Agrawal, Purshottam Narain; Shukla, Rahul; Baxhaku, Behar On some summability methods for a \(q\)-analogue of an integral type operator based on multivariate \(q\)-Lagrange polynomials. (English) Zbl 1506.41006 Numer. Funct. Anal. Optim. 43, No. 7, 796-815 (2022). MSC: 41A25 26A15 33C45 41A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Šťovíček, Pavel A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse. (English) Zbl 1511.33008 J. Approx. Theory 279, Article ID 105769, 22 p. (2022). MSC: 33C47 33D45 47B36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Pathan, M. A.; Khan, Waseem A. On \(\lambda \)-Changhee-Hermite polynomials. (English) Zbl 1487.11029 Analysis, München 42, No. 2, 57-69 (2022). MSC: 11B83 33C45 05A30 05A40 11B68 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
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