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Forstnerič, F.; Kutzschebauch, F. The first thirty years of Andersén-Lempert theory. (English) Zbl 1524.32023 Anal. Math. 48, No. 2, 489-544 (2022). MSC: 32M17 32Q56 14R10 53D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernandes, Gwladys A survey on the hypertranscendence of the solutions of the Schröder’s, Böttcher’s and Abel’s equations. (English) Zbl 1504.30031 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 91-125 (2021). MSC: 30D05 30D15 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Farzadfard, Hojjat; Farmanesh, Fatemeh Increasing solutions of simultaneous Poincaré equations. (English) Zbl 1469.39016 J. Difference Equ. Appl. 27, No. 2, 207-217 (2021). Reviewer: Gian Luigi Forti (Milano) MSC: 39B72 39B12 39B22 26A18 × Cite Format Result Cite Review PDF Full Text: DOI
Di Vizio, Lucia Difference Galois theory for the “applied” mathematician. (English) Zbl 1473.12008 Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer. Lect. Notes Math. 2275, 29-59 (2021). MSC: 12H10 12F10 11G09 11F52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farzadfard, Hojjat Periodic solutions of the Poincaré functional equation: existence. (English) Zbl 1462.26007 J. Math. Anal. Appl. 498, No. 1, Article ID 124933, 15 p. (2021). Reviewer: George Stoica (Saint John) MSC: 26A48 × Cite Format Result Cite Review PDF Full Text: DOI
Boc Thaler, Luka Entire functions with prescribed singular values. (English) Zbl 1455.30017 Int. J. Math. 31, No. 10, Article ID 2050075, 15 p. (2020). Reviewer: Ewa Ciechanowicz (Szczecin) MSC: 30D05 30D20 30D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Chin-Yuan; Lin, Gwo Dong Necessary and sufficient conditions for unique solution to functional equations of Poincaré type. (English) Zbl 1451.39020 J. Math. Anal. Appl. 491, No. 2, Article ID 124399, 18 p. (2020). MSC: 39B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabner, Peter J. Poincaré functional equations, harmonic measures on Julia sets, and fractal zeta functions. (English) Zbl 1337.28012 Bandt, Christoph (ed.) et al., Fractal geometry and stochastics V. Selected papers of the 5th conference, Tabarz, Germany, March 24–29, 2014. Cham: Springer (ISBN 978-3-319-18659-7/hbk; 978-3-319-18660-3/ebook). Progress in Probability 70, 157-174 (2015). MSC: 28A80 30D05 × Cite Format Result Cite Review PDF Full Text: DOI
Efthymiopoulos, Christos; Contopoulos, George; Katsanikas, Matthaios Analytical invariant manifolds near unstable points and the structure of chaos. (English) Zbl 1298.70033 Celest. Mech. Dyn. Astron. 119, No. 3-4, 331-356 (2014). MSC: 70K45 70H33 70K55 37J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cabré, Xavier; Fontich, Ernest; de La Llave, Rafael The parameterization method for invariant manifolds. III: Overview and applications. (English) Zbl 1101.37019 J. Differ. Equations 218, No. 2, 444-515 (2005). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37D10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Esterle, J. Picard’s theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras. (English) Zbl 0890.46039 Ann. Sci. Éc. Norm. Supér. (4) 29, No. 5, 539-582 (1996). Reviewer: G.Garske (Hagen) MSC: 46H40 46J05 46H05 46J20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Duverney, Daniel Arithmetic properties of solutions of certain Poincaré-type functional equations. (Propriétés arithmétiques des solutions de certaines équations fonctionnelles de Poincaré.) (English) Zbl 0870.11046 J. Théor. Nombres Bordx. 8, No. 2, 443-447 (1996). Reviewer: R.Wallisser (Freiburg i.Br.) MSC: 11J72 11J91 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML EMIS
Becker, Paul-Georg; Bergweiler, Walter Hypertranscendency of conjugacies in complex dynamics. (English) Zbl 0818.30015 Math. Ann. 301, No. 3, 463-468 (1995). Reviewer: W.Bergweiler (Aachen) MSC: 30D05 34M99 39B12 37F99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Ramis, Jean-Pierre About the growth of entire functions solutions of linear algebraic \(q\)- difference equations. (English) Zbl 0796.39005 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 1, No. 1, 53-94 (1992). Reviewer: F.Gramain (Saint-Etienne) MSC: 39A10 30D15 30D05 39B32 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Dixon, P. G.; Esterle, J. Michael’s problem and the Poincaré-Fatou-Bieberbach phenomenon. (English) Zbl 0608.32008 Bull. Am. Math. Soc., New Ser. 15, 127-187 (1986). Reviewer: A.Pankov MSC: 32H25 46H05 × Cite Format Result Cite Review PDF Full Text: DOI
Lauwerier, H. A. The structure of a strange attractor. (English) Zbl 0601.58052 Physica D 21, 146-154 (1986). MSC: 37D45 26A18 × Cite Format Result Cite Review PDF Full Text: DOI
Baker, I. N.; Liverpool, L. S. O. The entire solutions of a polynomial difference equation. (English) Zbl 0557.30003 Aequationes Math. 27, 97-113 (1984). Reviewer: D.Roux MSC: 30A10 30D05 39A10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Goldstein, R. On meromorphic solutions of a functional equation. (English) Zbl 0357.30006 Aequationes Math. 15, 239-248 (1977). MSC: 30D05 30D35 30D30 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Pastidès, M. Nicolas Sur les équations fonctionnelles du type de Poincaré. (French) Zbl 0047.36103 Compos. Math. 10, 168-212 (1952). × Cite Format Result Cite Review PDF Full Text: Numdam EuDML