Kimoto, Kazufumi; Wakayama, Masato Partition functions for non-commutative harmonic oscillators and related divergent series. (English) Zbl 07967054 Indag. Math., New Ser. 36, No. 1, 302-336 (2025). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tertichniy, S. I. On the monodromy-preserving deformation of a double confluent Heun equation. (English. Russian original) Zbl 07969167 Proc. Steklov Inst. Math. 326, 303-338 (2024); translation from Tr. Mat. Inst. Steklova 326, 330-367 (2024). MSC: 34M56 34A30 33E30 33E17 × Cite Format Result Cite Review PDF Full Text: DOI
Ishkhanyan, A. M.; Krainov, V. P. Klein-Gordon potentials solvable in terms of the general Heun functions. (English) Zbl 07961733 Lobachevskii J. Math. 45, No. 8, 3538-3547 (2024). MSC: 81Q05 81Q80 81U15 33C47 33C90 × Cite Format Result Cite Review PDF Full Text: DOI
Droghei, Riccardo; Cesarano, Clemente; Ishkhanyan, Artur Examining the Mathematica algorithm for general Heun function calculation: a comparative analysis. (English) Zbl 07956313 Commun. Appl. Ind. Math. 15, No. 2, 60-68 (2024). MSC: 65L80 33E05 34M03 × Cite Format Result Cite Review PDF Full Text: DOI
Takemura, Kouichi Kernel function, \(q\)-integral transformation and \(q\)-Heun equations. (English) Zbl 1547.34128 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 083, 22 p. (2024). MSC: 34M03 33C47 33E30 05A30 44A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Dan The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations. (English. Russian original) Zbl 1547.15027 Theor. Math. Phys. 219, No. 3, 913-932 (2024); translation from Teor. Mat. Fiz. 219, No. 3, 440-461 (2024). MSC: 15B52 15A15 60B20 33C45 34M55 34M03 34M30 × Cite Format Result Cite Review PDF Full Text: DOI
Aldossari, Shayea Solving second-order differential equations in terms of confluent Heun’s functions. (English) Zbl 07869437 Math. Methods Appl. Sci. 47, No. 9, 7780-7792 (2024). MSC: 34M03 33C47 33E30 × Cite Format Result Cite Review PDF Full Text: DOI
Dariescu, Marina-Aura; Dariescu, Ciprian Dirac fermions around Schwarzschild black holes with quintessence. (English) Zbl 1544.83082 Gen. Relativ. Gravitation 56, No. 2, Paper No. 12, 15 p. (2024). MSC: 83C57 83C60 × Cite Format Result Cite Review PDF Full Text: DOI
Ikot, A. N.; Okon, I. B.; Okorie, U. S.; Omugbe, E.; Abdel-Aty, A. -H.; Obagboye, L. F.; Ahmadov, A. I.; Okpara, N.; Duque, C. A.; Abdullah, Hewa Y.; Qadir, Karwan W. Exact solutions of position-dependent mass Schrödinger equation with pseudoharmonic oscillator and its thermal properties using extended Nikiforov-Uvarov method. (English) Zbl 1533.34004 Z. Angew. Math. Phys. 75, No. 1, Paper No. 18, 20 p. (2024). MSC: 34A05 34L40 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Ishkhanyan, T. A.; Ishkhanyan, A. M.; Cesarano, C. Solutions of a confluent modification of the general Heun equation in terms of generalized hypergeometric functions. (English) Zbl 1548.34093 Lobachevskii J. Math. 44, No. 12, 5258-5265 (2023). MSC: 34M03 34M35 33E30 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Acosta-Humánez, Primitivo B.; Blázquez-Sanz, David; Venegas-Gómez, Henock Liouvillian solutions for second order linear differential equations with Laurent polynomial coefficient. (English) Zbl 1532.34023 São Paulo J. Math. Sci. 17, No. 2, 638-670 (2023). MSC: 34A30 34A05 12H05 33C47 34C15 34A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghazaryan, A. M.; Ishkhanyan, T. A.; Ishkhanyan, A. M. A new non-symmetric modification of the second Demkov-Kunike model. (English) Zbl 1533.81093 Lobachevskii J. Math. 44, No. 6, 2299-2305 (2023). MSC: 81V45 35P10 35B34 33C05 60J35 70G10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Dan; Zhu, Mengkun; Chen, Yang The Jacobi-type polynomials and general Heun equations. (English) Zbl 1525.33009 Appl. Math. Lett. 144, Article ID 108694, 9 p. (2023). Reviewer: Jose Javier Segura Sala (Santander) MSC: 33C45 30E15 34A05 × 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 1542.39009 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
Bernard, Pierre-Antoine; Crampé, Nicolas; Vinet, Luc An explanation of the commuting operator “miracle” in time and band limiting. (English) Zbl 1512.42005 J. Fourier Anal. Appl. 29, No. 2, Paper No. 22, 16 p. (2023). MSC: 42A38 35L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grava, Tamara; Mazzuca, Guido Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation. (English) Zbl 1521.37088 Commun. Math. Phys. 399, No. 3, 1689-1729 (2023). MSC: 37K60 39A36 33C47 15B52 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sasaki, Shoko; Takagi, Shun; Takemura, Kouichi \(q\)-Heun equation and initial-value space of \(q\)-Painlevé equation. (English) Zbl 1512.39004 Filipuk, Galina (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 782, 119-142 (2023). Reviewer: Mengkun Zhu (Jinan) MSC: 39A13 33E17 33D05 33D70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bernard, Pierre-Antoine; Carcone, Gauvain; Crampé, Nicolas; Vinet, Luc Bethe ansatz diagonalization of the Heun-Racah operator. (English) Zbl 1538.82010 Lett. Math. Phys. 113, No. 1, Paper No. 8, 13 p. (2023). MSC: 82B23 33C80 16S99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dariescu, Ciprian; Dariescu, Marina-Aura Relativistic particles moving around galaxy’s center. (English) Zbl 1538.85002 Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 23, No. 1, 39-46 (2022). MSC: 85A05 83C57 × Cite Format Result Cite Review PDF
Lisovyy, O.; Naidiuk, A. Perturbative connection formulas for Heun equations. (English) Zbl 1520.34081 J. Phys. A, Math. Theor. 55, No. 43, Article ID 434005, 22 p. (2022). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M03 34M35 33C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tertychniy, Sergey I. Special functions emerging from symmetries of the space of solutions to special double confluent Heun equation. (English) Zbl 1526.33006 Eur. J. Math. 8, No. 4, 1623-1654 (2022). MSC: 33E30 33C15 34M03 34M35 34M45 58D19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sasaki, Shoko; Takagi, Shun; Takemura, Kouichi \(q\)-middle convolution and \(q\)-Painlevé equation. (English) Zbl 1519.39005 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 056, 21 p. (2022). MSC: 39A13 33E10 34M55 × 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
van Diejen, Jan Felipe; Görbe, Tamás Elliptic Racah polynomials. (English) Zbl 1492.42029 Lett. Math. Phys. 112, No. 4, Paper No. 66, 26 p. (2022). MSC: 42C05 33D45 33C47 33E10 47B36 81Q80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Guo-Hua; Dong, Qian; Bezerra, V. B.; Dong, Shi-Hai Exact solutions of an asymmetric double well potential. (English) Zbl 1496.81055 J. Math. Chem. 60, No. 4, 605-612 (2022). MSC: 81Q05 34L40 34L16 33C15 81U15 × Cite Format Result Cite Review PDF Full Text: DOI
Acu, Ana-Maria; Rasa, Ioan Functional equations related to Appell polynomials and Heun functions. (English) Zbl 1511.39018 Anal. Math. Phys. 12, No. 3, Paper No. 77, 18 p. (2022). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 39B22 33E30 33C45 33C65 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Min, Chao; Chen, Yang A note on the asymptotics of the Hankel determinant associated with time-dependent Jacobi polynomials. (English) Zbl 1482.42069 Proc. Am. Math. Soc. 150, No. 4, 1719-1728 (2022). MSC: 42C05 41A60 33E17 34M55 × Cite Format Result Cite Review PDF Full Text: DOI
Condori-Pozo, E.; Reyes, M. A.; Rosu, H. C. Quasi-exactly solvable hyperbolic potential and its anti-isospectral counterpart. (English) Zbl 1484.81027 Ann. Phys. 437, Article ID 168743, 14 p. (2022). MSC: 81Q05 81U15 33C15 17B81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Melikdzhanian, D. Yu.; Ishkhanyan, A. M. Generalized-hypergeometric solutions of the biconfluent Heun equation. (English) Zbl 1501.33002 Ramanujan J. 57, No. 1, 37-53 (2022). MSC: 33C15 33E30 34B30 34M03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shapiro, Boris; Tater, Miloš On spectral asymptotic of quasi-exactly solvable quartic potential. (English) Zbl 1497.34118 Anal. Math. Phys. 12, No. 1, Paper No. 2, 35 p. (2022). Reviewer: Rodica Luca (Iaşi) MSC: 34L20 34C15 33E05 34B09 34B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tamar, Aditya Applications of hypergeometric functions to exactly solvable quantum mechanical potentials. (English) Zbl 1536.35286 Math. Stud. 90, No. 3-4, 49-59 (2021). MSC: 35Q40 33C05 81U15 × Cite Format Result Cite Review PDF
Han, Pengju; Chen, Yang A degenerate Gaussian weight connected with Painlevé equations and Heun equations. (English) Zbl 1545.33020 Random Matrices Theory Appl. 10, No. 4, Article ID 2150034, 32 p. (2021). Reviewer: Andrew Pickering (Madrid) MSC: 33E17 33C45 33C47 34M55 34M30 15B52 60B20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yi-Gu; Wei, Hai-Bo; Zheng, Hui; Wang, Zai-Dong; Li, Zhong-Heng Analysis of the wave functions for accelerating Kerr-Newman metric. (English) Zbl 1514.83020 Commun. Theor. Phys. 73, No. 10, Article ID 105402, 6 p. (2021). MSC: 83C57 83C15 53B50 53Z05 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Lungu, Vitalie; Dariescu, Andromeda-Iustina Perturbed Keplerian behavior in spiral galaxies described by the Mannheim-Kazanas metric. (English) Zbl 1488.83005 Bul. Inst. Politeh. Iași, Secț. I, Mat. Mec. Teor. Fiz. 67(71), No. 1, 31-41 (2021). MSC: 83D05 35Q75 83C57 × Cite Format Result Cite Review PDF
Takeyama, Yoshihiro On a weighted sum of multiple \(T\)-values of fixed weight and depth. (English) Zbl 1485.11134 Bull. Aust. Math. Soc. 104, No. 3, 398-405 (2021). MSC: 11M32 33C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lisovyy, O.; Naidiuk, A. Accessory parameters in confluent Heun equations and classical irregular conformal blocks. (English) Zbl 1480.81067 Lett. Math. Phys. 111, No. 6, Paper No. 137, 28 p. (2021). MSC: 81R12 81T40 33E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Atakishiyeva, Mesuma; Atakishiyev, Natig; Zhedanov, Alexei An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform. (English) Zbl 1480.42008 J. Math. Phys. 62, No. 10, Article ID 101704, 10 p. (2021). MSC: 42A38 33D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hatsuda, Yasuyuki Quasinormal modes of Kerr-de Sitter black holes via the Heun function. (English) Zbl 1479.83144 Classical Quantum Gravity 38, No. 2, Article ID 025015, 12 p. (2021). MSC: 83C57 83C30 83C15 70E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abu-Saleem, M.; Vieira, H. S. Some aspects of the five-dimensional Lovelock black hole spacetime: strong homotopy retract, perihelion precession and quasistationary levels. (English) Zbl 1531.83060 Ann. Phys. 433, Article ID 168583, 14 p. (2021). MSC: 83C57 83E30 81T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chiang, Yik-Man; Ching, Avery; Tsang, Chiu-Yin Resolving singularities and monodromy reduction of Fuchsian connections. (English) Zbl 1483.34121 Ann. Henri Poincaré 22, No. 9, 3051-3094 (2021). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M35 14F06 33E10 33E17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Figueiredo, Bartolomeu D. B. Solutions of Heun’s general equation and elliptic Darboux equation. (English) Zbl 1486.34045 Math. Methods Appl. Sci. 44, No. 8, 7165-7206 (2021); corrigendum ibid. 45, No. 3, 1798-1799 (2022). MSC: 34A25 34A05 33C05 34B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barar, Adina; Mocanu, Gabriela; Raşa, Ioan Heun equations and combinatorial identities. (English) Zbl 1488.33074 Constr. Math. Anal. 4, No. 1, 81-90 (2021). MSC: 33E30 05A19 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Schmidt, Heinz-Jürgen; Schnack, Jürgen; Holthaus, Martin Floquet theory of the analytical solution of a periodically driven two-level system. (English) Zbl 1460.81126 Appl. Anal. 100, No. 5, 992-1009 (2021). MSC: 81V80 34L40 33E30 33C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Magnus, Alphonse P.; Ndayiragije, François; Ronveaux, André About families of orthogonal polynomials satisfying Heun’s differential equation. (English) Zbl 1462.33004 J. Approx. Theory 263, Article ID 105522, 30 p. (2021). Reviewer: Thomas Ernst (Uppsala) MSC: 33C45 34M35 34M55 41A21 42C05 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Gaboriaud, Julien; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei Degenerate Sklyanin algebras, Askey-Wilson polynomials and Heun operators. (English) Zbl 1519.81279 J. Phys. A, Math. Theor. 53, No. 44, Article ID 445204, 19 p. (2020). MSC: 81R05 33D45 14A22 16S38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jain, Kavita; Devi, Archana Evolutionary dynamics and eigenspectrum of confluent Heun equation. (English) Zbl 1519.37107 J. Phys. A, Math. Theor. 53, No. 39, Article ID 395602, 15 p. (2020). MSC: 37N25 34L15 33C47 33C45 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdelaziz, Y.; Boukraa, S.; Koutschan, C.; Maillard, J.-M. Heun functions and diagonals of rational functions. (English) Zbl 1514.33010 J. Phys. A, Math. Theor. 53, No. 7, Article ID 075206, 24 p. (2020). MSC: 33C47 33C45 33E30 11F03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barna, Imre F.; Bognár, Gabriella; Guedda, Mohammed; Mátyás, László; Hriczó, Krisztián Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise terms. (English) Zbl 1479.35185 Math. Model. Anal. 25, No. 2, 241-256 (2020). MSC: 35C06 35K58 35R60 74A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Qian; Hernández, H. Iván García; Sun, Guo-Hua; Toutounji, Mohamad; Dong, Shi-Hai Exact solutions of the harmonic oscillator plus non-polynomial interaction. (English) Zbl 1472.81072 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200050, 8 p. (2020). MSC: 81Q05 33C15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dong, Qian; Sun, Guo-Hua; He, Bing; Dong, Shi-Hai Semi-exact solutions of sextic potential plus a centrifugal term. (English) Zbl 1466.81011 J. Math. Chem. 58, No. 10, 2197-2203 (2020). MSC: 81Q05 81U15 33C15 × Cite Format Result Cite Review PDF Full Text: DOI
Giscard, Pierre-Louis On the solutions of linear Volterra equations of the second kind with sum kernels. (English) Zbl 1465.45002 J. Integral Equations Appl. 32, No. 4, 429-445 (2020). MSC: 45A05 45D05 33E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid HAL
Budaca, Radu Quasi-exact solvability of the \(D\)-dimensional sextic potential in terms of truncated bi-confluent Heun functions. (English) Zbl 1474.34291 Ann. Acad. Rom. Sci., Math. Appl. 12, No. 1-2, 87-98 (2020). MSC: 34C40 34A05 33E99 × Cite Format Result Cite Review PDF Full Text: Link
Karayer, H.; Demirhan, D.; Atman, K. G. Analytical exact solutions for the Razavy type potential. (English) Zbl 1457.34003 Math. Methods Appl. Sci. 43, No. 15, 9185-9194 (2020). MSC: 34A05 34L10 33C15 81V19 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Mohamadian, Tayebeh; Panahi, H.; Negro, J. Second harmonic Hamiltonian: algebraic and Schrödinger approaches. (English) Zbl 1448.81530 Phys. Lett., A 384, No. 3, Article ID 126091, 9 p. (2020). MSC: 81V80 34M03 33C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Dan; Zhu, Mengkun; Chen, Yang Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights. (English) Zbl 1465.33009 J. Difference Equ. Appl. 26, No. 7, 1000-1012 (2020). Reviewer: María-José Cantero (Zaragoza) MSC: 33C47 34M55 35C20 65Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Tertychniy, Sergey I. Square root of the monodromy map associated with the equation of RSJ model of Josephson junction. (English) Zbl 1459.34193 Result. Math. 75, No. 4, Paper No. 139, 36 p. (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M04 34M15 34M35 44A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Filipuk, G.; Ishkhanyan, A.; Dereziński, J. On the derivatives of the Heun functions. (English) Zbl 1459.34195 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 3, 200-207 (2020) and Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 3, 21-29 (2020). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 34M56 34M03 34M35 33E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishkhanyan, A. M. Generalized hypergeometric solutions of the Heun equation. (English. Russian original) Zbl 1450.34065 Theor. Math. Phys. 202, No. 1, 1-10 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 3-13 (2020). MSC: 34M03 34M35 33C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kojima, Kentaro; Sato, Tsukasa; Takemura, Kouichi Ultradiscrete limit of the spectral polynomial of the \(q\)-Heun equation. (English) Zbl 1445.39005 Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 297-312 (2020). MSC: 39A13 39A12 33E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eremenko, Alexandre Metrics of constant positive curvature with four conic singularities on the sphere. (English) Zbl 1448.34161 Proc. Am. Math. Soc. 148, No. 9, 3957-3965 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M30 34M35 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergeron, Geoffroy; Vinet, Luc; Zhedanov, Alexei Signal processing, orthogonal polynomials, and Heun equations. (English) Zbl 1443.33033 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., 195-214 (2020). MSC: 33C80 94A11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baseilhac, Pascal; Vinet, Luc; Zhedanov, Alexei The q-Heun operator of big q-Jacobi type and the q-Heun algebra. (English) Zbl 1444.39007 Ramanujan J. 52, No. 2, 367-380 (2020). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 39A13 39A70 33D05 33E30 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Etoga, E. Anemena; Ema’a, J. M. Ema’a; Abiama, P. Ele; Ben-Bolie, G. H. Klein-Gordon equation with four inverse power term potentials. (English) Zbl 1434.81027 Mod. Phys. Lett. A 35, No. 11, Article ID 2050080, 9 p. (2020). MSC: 81Q05 33C15 × Cite Format Result Cite Review PDF Full Text: DOI
Dariescu, Marina-Aura; Dariescu, Ciprian; Stelea, Cristian Massless fermions on static general prolate metrics and their Heun solutions. (English) Zbl 1434.81026 Mod. Phys. Lett. A 35, No. 7, Article ID 2050036, 17 p. (2020). MSC: 81Q05 81Q70 53B50 81Q35 33E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crampé, Nicolas; Vinet, Luc; Zhedanov, Alexei Heun algebras of Lie type. (English) Zbl 1452.17024 Proc. Am. Math. Soc. 148, No. 3, 1079-1094 (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B60 33C45 33C80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
da Silva, W. C. F.; Bakke, K. Non-relativistic effects on the interaction of a point charge with a uniform magnetic field in the distortion of a vertical line into a vertical spiral spacetime. (English) Zbl 1478.83020 Classical Quantum Gravity 36, No. 23, Article ID 235002, 11 p. (2019). MSC: 83C10 14D15 81V70 81Q70 34B30 33C15 × Cite Format Result Cite Review PDF Full Text: DOI
Ishkhanyan, Artur M. Series solutions of confluent Heun equations in terms of incomplete gamma-functions. (English) Zbl 1464.33008 J. Appl. Anal. Comput. 9, No. 1, 118-139 (2019). MSC: 33E30 30B10 34B30 34M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baseilhac, Pascal; Pimenta, Rodrigo A. Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz. (English) Zbl 1442.82004 Nucl. Phys., B 949, Article ID 114824, 66 p. (2019). MSC: 82B23 82B20 33D45 82D40 60G35 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahmed, Faizuddin Linear confinement of spin-0 relativistic quantum particles in (1+2)-dimensions Gürses space-time. (English) Zbl 1427.81042 Ann. Phys. 411, Article ID 167941, 9 p. (2019). MSC: 81Q35 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmed, Faizuddin Quantum effects on spin-0 massive charged particles with Coulomb-type potentials in (1+2)-dimensions Gürses space-time. (English) Zbl 1430.83062 Gen. Relativ. Gravitation 51, No. 10, Paper No. 129, 14 p. (2019). MSC: 83C80 83C45 35L05 81Q05 83C10 × Cite Format Result Cite Review PDF Full Text: DOI
Baseilhac, Pascal; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type. (English) Zbl 1423.33027 Ann. Henri Poincaré 20, No. 9, 3091-3112 (2019). MSC: 33D45 33C52 17A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Qian; Torres-Arenas, Ariadna J.; Sun, Guo-Hua; Camacho-Nieto, O.; Femmam, Smain; Dong, Shi-Hai Exact solutions of the sine hyperbolic type potential. (English) Zbl 1422.81179 J. Math. Chem. 57, No. 8, 1924-1931 (2019). MSC: 81V55 81Q05 33C15 × Cite Format Result Cite Review PDF Full Text: DOI
Bărar, Adina; Mocanu, Gabriela; Raşa, Ioan Heun functions related to entropies. (English) Zbl 1416.33031 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 819-830 (2019). MSC: 33E30 33C05 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kojima, Kentaro; Sato, Tsukasa; Takemura, Kouichi Polynomial solutions of \(q\)-Heun equation and ultradiscrete limit. (English) Zbl 1420.39006 J. Difference Equ. Appl. 25, No. 5, 647-664 (2019). Reviewer: P. K. Banerji (Jodhpur) MSC: 39A13 33C05 33C45 33D15 33D60 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Puente, Luis; Cocha, Carlos; Rojas, Clara Study of superradiance in the Lambert-\(W\) potential barrier. (English) Zbl 1415.81021 Int. J. Mod. Phys. A 34, No. 16, Article ID 1950087, 10 p. (2019). MSC: 81Q05 33E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manukyan, V. A.; Ishkhanyan, T. A.; Ishkhanyan, A. M. A Schrödinger potential involving \(x^{2/3}\) and centrifugal-barrier terms conditionally integrable in terms of the confluent hypergeometric functions. (English) Zbl 1414.81092 Nonlinear Phenom. Complex Syst., Minsk 22, No. 1, 84-92 (2019). MSC: 81Q05 81R12 33C80 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kisel, V. V.; Pletyukhov, V. A.; Ovsiyuk, E. M.; Red’kov, V. M. On P-noninvariant wave equation for a spin 1/2 particle with anomalous magnetic moment. (English) Zbl 1414.81263 Nonlinear Phenom. Complex Syst., Minsk 22, No. 1, 18-40 (2019). MSC: 81V10 81R25 81Q05 81Q35 × Cite Format Result Cite Review PDF Full Text: Link
Alhaidari, A. D. Erratum: “Series solutions of Heun-type equation in terms of orthogonal polynomials” [J. Math. Phys. 59, 113507 (2018)]. (English) Zbl 1414.34009 J. Math. Phys. 60, No. 4, 049901, 1 p. (2019). MSC: 34A25 34A30 33C45 34L05 × Cite Format Result Cite Review PDF Full Text: DOI
Ishkhanyan, A. M. Appell hypergeometric expansions of the solutions of the general Heun equation. (English) Zbl 1414.33025 Constr. Approx. 49, No. 3, 445-459 (2019). Reviewer: Faitori Omer Salem (Tripoli) MSC: 33E30 34B30 30Bxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bărar, Adina; Mocanu, Gabriela Raluca; Raşa, Ioan Bounds for some entropies and special functions. (English) Zbl 1449.94049 Carpathian J. Math. 34, No. 1, 9-15 (2018). MSC: 94A17 33E30 33C05 33C45 × Cite Format Result Cite Review PDF Full Text: arXiv
Ishkhanyan, T. A.; Ishkhanyan, A. M. Generalized confluent hypergeometric solutions of the Heun confluent equation. (English) Zbl 1427.33014 Appl. Math. Comput. 338, 624-630 (2018). MSC: 33E30 34B30 33C15 33C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ovsiyuk, Elena; Koral’kov, Artem; Veko, Olga; Voynova, Yarina; Red’kov, Viktor; Kisel, Vasiliy On describing bound states for a spin 1 particle in the external Coulomb field. (English) Zbl 1406.33017 Balan, Vladimir (ed.) et al., Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2017 ), University Politehnica of Bucharest, Bucharest, Romania, October 12–15, 2017. Bucharest: Geometry Balkan Press. BSG Proceedings 25, 59-78 (2018). MSC: 33E10 34B30 × Cite Format Result Cite Review PDF Full Text: Link
Alhaidari, A. D. Series solutions of Heun-type equation in terms of orthogonal polynomials. (English) Zbl 1404.34017 J. Math. Phys. 59, No. 11, 113507, 12 p. (2018). MSC: 34A25 34A30 33C45 34L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Batic, Davide; Forrest, O.; Nowakowski, M. New indefinite integrals of confluent Heun functions. (English) Zbl 1402.33016 Integral Transforms Spec. Funct. 29, No. 12, 1001-1017 (2018). MSC: 33E20 33E05 33C05 70H03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grünbaum, F. Alberto; Vinet, Luc; Zhedanov, Alexei Algebraic Heun operator and band-time limiting. (English) Zbl 1405.33025 Commun. Math. Phys. 364, No. 3, 1041-1068 (2018). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33D45 33D99 39B42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dariescu, Marina-Aura; Dariescu, Ciprian; Stelea, Cristian The \(\mathrm{SO}(3,1) \times \mathrm U(1)\)-gauge covariant Dirac equation in relativistic magnetars. (English) Zbl 1403.83030 Gen. Relativ. Gravitation 50, No. 10, Paper No. 126, 13 p. (2018). MSC: 83C60 85A15 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Maier, Robert S. Associated Legendre functions and spherical harmonics of fractional degree and order. (English) Zbl 1404.33008 Constr. Approx. 48, No. 2, 235-281 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 33C45 33C47 33C55 22E70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ovsiyuk, E. M.; Veko, O. V.; Voĭnova, Ya. A.; Koral’kov, A. D.; Kisel’, V. V.; Red’kov, V. M. On describing bound states for a spin 1 particle in the external Coulomb field. (Russian. English summary) Zbl 1398.81088 Probl. Fiz. Mat. Tekh. 2018, No. 2(35), 21-33 (2018). MSC: 81Q05 × Cite Format Result Cite Review PDF Full Text: MNR
Ovsiyuk, E. M.; Veko, O. V.; Voynova, Ya. A.; Kisel, V. V.; Balan, V.; Red’kov, V. M. Spin \(1/2\) particle with two masses in magnetic field. (English) Zbl 1402.81139 Appl. Sci. 20, 148-166 (2018). MSC: 81Q05 33E30 34B30 81R20 81R25 81V10 35P05 × Cite Format Result Cite Review PDF Full Text: Link
Batic, D.; Mills, D.; Nowakowski, M. Semicommuting and commuting operators for the Heun family. (English. Russian original) Zbl 1401.33007 Theor. Math. Phys. 195, No. 1, 494-512 (2018); translation from Teor. Mat. Fiz. 195, No. 1, 6-26 (2018). MSC: 33C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Batic, Davide; Forrest, O.; Nowakowski, M. New indefinite integrals of Heun functions. (English) Zbl 1396.33040 Integral Transforms Spec. Funct. 29, No. 10, 794-804 (2018). MSC: 33E30 33C05 33C55 33E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander Elliptic basis for the Zernike system: Heun function solutions. (English) Zbl 1401.78002 J. Math. Phys. 59, No. 7, 073503, 15 p. (2018). Reviewer: Vladimir Čadež (Beograd) MSC: 78A05 35A18 33C45 81V45 × Cite Format Result Cite Review PDF Full Text: DOI
Birkandan, T.; Hortaçsu, M. The zero mass limit of Kerr and Kerr-(anti-)de-Sitter space-times: exact solutions and wormholes. (English) Zbl 1392.83011 Gen. Relativ. Gravitation 50, No. 3, Paper No. 28, 7 p. (2018); correction ibid. 50, No. 9, Paper No. 109, 2 p. (2018). MSC: 83C15 83C57 35L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dariescu, Marina-Aura; Dariescu, Ciprian Mathieu and Heun solutions to the Wheeler-De Witt equation for hyperbolic universes. (English) Zbl 1395.83138 Int. J. Theor. Phys. 57, No. 3, 652-663 (2018). MSC: 83F05 83C20 83C45 × Cite Format Result Cite Review PDF Full Text: DOI
Takemura, Kouichi On \(q\)-deformations of the Heun equation. (English) Zbl 1395.39003 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 061, 16 p. (2018). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 33E10 39A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Atai, Farrokh; Langmann, Edwin Series solutions of the non-stationary Heun equation. (English) Zbl 1387.33030 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 011, 32 p. (2018). MSC: 33E20 16R60 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishkhanyan, A. M. Schrödinger potentials solvable in terms of the general Heun functions. (English) Zbl 1382.81088 Ann. Phys. 388, 456-471 (2018). MSC: 81Q05 34L40 33C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gheorghiu, Călin-Ioan Spectral collocation solutions to problems on unbounded domains. (English) Zbl 1453.65004 Cluj-Napoca: Casa Cărţii de Ştiinţă (ISBN 978-606-17-1272-4/pbk). xvi, 151 p. (2018). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-02 65M70 65N35 65L15 65N15 65D05 × Cite Format Result Cite Review PDF
Choun, Yoon Seok Grand confluent hypergeometric function applying reversible three-term recurrence formula. (English) Zbl 1388.33009 Mem. Differ. Equ. Math. Phys. 71, 13-50 (2017). MSC: 33E20 33E30 34A99 × Cite Format Result Cite Review PDF Full Text: Link
Birkandan, T.; Hortaçsu, M. Quantum field theory applications of Heun type functions. (English) Zbl 1384.33035 Rep. Math. Phys. 79, No. 1, 81-87 (2017). MSC: 33E10 81V05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv