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Khakimova, Zilya Nail’evna; Zaĭtsev, Oleg Valentinovich
Fractional polynomial differential equations: discrete groups and solutions throw the transcendent of the 1st Painlevé equation. (Russian. English summary) Zbl 07340309
Differ. Uravn. Protsessy Upr. 2021, No. 1, 61-92 (2021).
Reviewer: Dmitry Artamonov (Moskva)
MSC:  34C14 34C20 34M55
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\textit{Z. N. Khakimova} and \textit{O. V. Zaĭtsev}, Differ. Uravn. Protsessy Upr. 2021, No. 1, 61--92 (2021; Zbl 07340309)
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Dominici, Diego; Marcellán, Francisco
Discrete semiclassical orthogonal polynomials of class 2. (English) Zbl 1460.33008
Marcellán, Francisco (ed.) et al., Orthogonal polynomials: current trends and applications. Proceedings of the 7th EIBPOA conference, Universidad Carlos III de Madrid, Leganés, Spain, July 3–6, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 22, 103-169 (2021).
MSC:  33C45 34M55 42C05
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\textit{D. Dominici} and \textit{F. Marcellán}, SEMA SIMAI Springer Ser. 22, 103--169 (2021; Zbl 1460.33008)
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Deaño, Alfredo
Special function solutions of Painlevé equations: theory, asymptotics and applications. (English) Zbl 1460.33023
Marcellán, Francisco (ed.) et al., Orthogonal polynomials: current trends and applications. Proceedings of the 7th EIBPOA conference, Universidad Carlos III de Madrid, Leganés, Spain, July 3–6, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 22, 77-102 (2021).
MSC:  33E17 33C10 34M55
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\textit{A. Deaño}, SEMA SIMAI Springer Ser. 22, 77--102 (2021; Zbl 1460.33023)
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Branquinho, Amílcar; Foulquié Moreno, Ana; Mañas, Manuel
Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective. (English) Zbl 1458.37073
J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021).
Reviewer: Vladimir P. Kostov (Nice)
MSC:  37K20 37K60 39A36 37J70 37J65 33C47 33E17 34M55 34M50 15A16
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\textit{A. Branquinho} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021; Zbl 1458.37073)
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Noumi, Masatoshi
On some explicit representations of the elliptic Painlevé equation. (English) Zbl 07326232
Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer (ISBN 978-3-030-56999-0/hbk; 978-3-030-57000-2/ebook). Springer Proceedings in Mathematics & Statistics 338, 191-212 (2020).
Reviewer: Vladimir P. Kostov (Nice)
MSC:  37J65 34M04 34M25 34M55
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\textit{M. Noumi}, in: Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9--13, 2018. Cham: Springer. 191--212 (2020; Zbl 07326232)
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Horrobin, Calum; Mazzocco, Marta
Stokes phenomenon arising in the confluence of the Gauss hypergeometric equation. (English) Zbl 07326229
Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer (ISBN 978-3-030-56999-0/hbk; 978-3-030-57000-2/ebook). Springer Proceedings in Mathematics & Statistics 338, 101-158 (2020).
Reviewer: Mykola Grygorenko (Kyïv)
MSC:  34M03 34M35 34M40
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\textit{C. Horrobin} and \textit{M. Mazzocco}, in: Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9--13, 2018. Cham: Springer. 101--158 (2020; Zbl 07326229)
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Chen, Zhijie
A survey on a theory relating Green functions with Painlevé VI equations. (English) Zbl 07325756
Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press (ISBN 978-1-57146-393-7/hbk). 429-444 (2020).
Reviewer: Dmitry Artamonov (Moskva)
MSC:  34M55
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\textit{Z. Chen}, in: Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 429--444 (2020; Zbl 07325756)
Orlov, Viktor Nikolaevich; Leont’eva, Tat’yana Yur’evna
On extension of the domain for analytical approximate solution of one class of nonlinear differential equations of the second order in a complex domain. (Russian. English summary) Zbl 07294533
Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 1, 174-186 (2020).
MSC:  34M04 34M35
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\textit{V. N. Orlov} and \textit{T. Y. Leont'eva}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 1, 174--186 (2020; Zbl 07294533)
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Buchstaber, V. M.; Tertychnyi, S. I.
Group algebras acting on the space of solutions of a special double confluent Heun equation. (English. Russian original) Zbl 1454.82051
Theor. Math. Phys. 204, No. 2, 967-983 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 153-170 (2020).
MSC:  82D55 81R10 34M35
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\textit{V. M. Buchstaber} and \textit{S. I. Tertychnyi}, Theor. Math. Phys. 204, No. 2, 967--983 (2020; Zbl 1454.82051); translation from Teor. Mat. Fiz. 204, No. 2, 153--170 (2020)
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