Dang, Guoqiang On the equation \(f^n + (f^{\prime\prime})^m \equiv 1\). (English) Zbl 07794643 Demonstr. Math. 56, Article ID 20230103, 9 p. (2023). MSC: 30D35 34M05 PDFBibTeX XMLCite \textit{G. Dang}, Demonstr. Math. 56, Article ID 20230103, 9 p. (2023; Zbl 07794643) Full Text: DOI OA License
Guo, Yinhao; Liu, Kai Meromorphic solutions of Fermat type differential and difference equations of certain types. (English) Zbl 1527.30025 Ann. Pol. Math. 131, No. 1, 1-19 (2023). MSC: 30D30 34M05 39A45 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{K. Liu}, Ann. Pol. Math. 131, No. 1, 1--19 (2023; Zbl 1527.30025) Full Text: DOI
Wang, Funa; Liu, Kai Value cross-sharing of meromorphic functions. (English) Zbl 1526.30036 Comput. Methods Funct. Theory 23, No. 4, 807-828 (2023). MSC: 30D20 30D30 30D35 PDFBibTeX XMLCite \textit{F. Wang} and \textit{K. Liu}, Comput. Methods Funct. Theory 23, No. 4, 807--828 (2023; Zbl 1526.30036) Full Text: DOI
Ahamed, Molla Basir; Allu, Vasudevarao Transcendental solutions of Fermat-type functional equations in \(\mathbb{C}^n\). (English) Zbl 1526.39009 Anal. Math. Phys. 13, No. 5, Paper No. 69, 17 p. (2023). MSC: 39B32 30D35 11D41 PDFBibTeX XMLCite \textit{M. B. Ahamed} and \textit{V. Allu}, Anal. Math. Phys. 13, No. 5, Paper No. 69, 17 p. (2023; Zbl 1526.39009) Full Text: DOI
Wang, Qiong; Liao, Liangwen; Chen, Wei On certain Fermat Diophantine functional equations in \(\mathbb{C}^2\). (English) Zbl 1511.32001 Comput. Methods Funct. Theory 23, No. 1, 87-100 (2023). MSC: 32A15 32A20 PDFBibTeX XMLCite \textit{Q. Wang} et al., Comput. Methods Funct. Theory 23, No. 1, 87--100 (2023; Zbl 1511.32001) Full Text: DOI
Bi, Wenqi; Lü, Feng On meromorphic solutions of the Fermat-type functional equations \(f(z)^3 + f(z+c)^3 = e^p\). (English) Zbl 1508.30062 Anal. Math. Phys. 13, No. 2, Paper No. 24, 15 p. (2023). MSC: 30D30 34M05 PDFBibTeX XMLCite \textit{W. Bi} and \textit{F. Lü}, Anal. Math. Phys. 13, No. 2, Paper No. 24, 15 p. (2023; Zbl 1508.30062) Full Text: DOI
Wang, Qiong; Han, Qi; Chen, Wei On generalized Fermat Diophantine functional and partial differential equations in \(\mathbf{C}^2\). (English) Zbl 1487.32016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 96, 16 p. (2022). MSC: 32A20 32A22 35F20 PDFBibTeX XMLCite \textit{Q. Wang} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 96, 16 p. (2022; Zbl 1487.32016) Full Text: DOI arXiv
Lü, Feng; Guo, Hongxiao On meromorphic solutions of the Fermat-type functional equation \(f(z)^n+f(z+c)^m=e^{\alpha z+\beta}\). (English) Zbl 1492.30070 Mediterr. J. Math. 19, No. 3, Paper No. 118, 13 p. (2022). MSC: 30D30 30D05 PDFBibTeX XMLCite \textit{F. Lü} and \textit{H. Guo}, Mediterr. J. Math. 19, No. 3, Paper No. 118, 13 p. (2022; Zbl 1492.30070) Full Text: DOI
Liu, Xinling; Liu, Kai; Korhonen, Risto Inverse problems on the parity of meromorphic functions. (English) Zbl 1486.30090 J. Math. Anal. Appl. 512, No. 1, Article ID 126129, 10 p. (2022). MSC: 30D30 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Math. Anal. Appl. 512, No. 1, Article ID 126129, 10 p. (2022; Zbl 1486.30090) Full Text: DOI
Kalmykov, Mikhail; Bytev, Vladimir; Kniehl, Bernd A.; Moch, Sven-Olaf; Ward, Bennie F. L.; Yost, Scott A. Hypergeometric functions and Feynman diagrams. (English) Zbl 1489.33010 Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 189-234 (2021). Reviewer: Radosław Szmytkowski (Gdańsk) MSC: 33C65 33C20 PDFBibTeX XMLCite \textit{M. Kalmykov} et al., in: Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. 189--234 (2021; Zbl 1489.33010) Full Text: DOI arXiv
Ahamed, M. B. On the Fermat-type difference equation \(f^3(z)+[c_1f(z+c)+c_0f(z)]^3=E^{\alpha z+\beta}\). (English) Zbl 1482.30084 J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 5, 255-269 (2021) and Izv. Nats. Akad. Nauk 56, No. 5, 3-22 (2021). MSC: 30D30 39A10 39B32 PDFBibTeX XMLCite \textit{M. B. Ahamed}, J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 5, 255--269 (2021; Zbl 1482.30084) Full Text: DOI
Lü, Feng Entire solutions of a variation of the Eikonal equation and related PDEs. (English) Zbl 1455.30024 Proc. Edinb. Math. Soc., II. Ser. 63, No. 3, 697-708 (2020). Reviewer: Katsuya Ishizaki (Chiba) MSC: 30D20 35F20 32A22 PDFBibTeX XMLCite \textit{F. Lü}, Proc. Edinb. Math. Soc., II. Ser. 63, No. 3, 697--708 (2020; Zbl 1455.30024) Full Text: DOI
Li, J.; Liu, K. Meromorphic solutions on the first order non-linear difference equations. (English) Zbl 1463.30151 Anal. Math. 46, No. 2, 323-344 (2020). Reviewer: Indrajit Lahiri (Kalyani) MSC: 30D35 39B32 PDFBibTeX XMLCite \textit{J. Li} and \textit{K. Liu}, Anal. Math. 46, No. 2, 323--344 (2020; Zbl 1463.30151) Full Text: DOI
Wang, Qiong; Chen, Wei; Hu, Peichu On entire solutions of two certain Fermat-type differential-difference equations. (English) Zbl 1443.39013 Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 2951-2965 (2020). Reviewer: Tomasz Zgraja (Bielsko-Biała) MSC: 39B32 30D35 PDFBibTeX XMLCite \textit{Q. Wang} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 2951--2965 (2020; Zbl 1443.39013) Full Text: DOI
Korhonen, Risto; Zhang, Yueyang Existence of meromorphic solutions of first-order difference equations. (English) Zbl 1441.39015 Constr. Approx. 51, No. 3, 465-504 (2020). Reviewer: Indrajit Lahiri (Kalyani) MSC: 39A45 39A10 30D35 39A12 PDFBibTeX XMLCite \textit{R. Korhonen} and \textit{Y. Zhang}, Constr. Approx. 51, No. 3, 465--504 (2020; Zbl 1441.39015) Full Text: DOI arXiv
Ma, Hongwei; Qi, Jianming; Zhang, Zhenjie Further results about a special Fermat-type difference equation. (English) Zbl 1435.30097 J. Funct. Spaces 2020, Article ID 3205357, 6 p. (2020). MSC: 30D30 39A99 PDFBibTeX XMLCite \textit{H. Ma} et al., J. Funct. Spaces 2020, Article ID 3205357, 6 p. (2020; Zbl 1435.30097) Full Text: DOI
Wu, Linlin; He, Chun; Lü, Weiran; Lü, Feng Existence of meromorphic solutions of some generalized Fermat functional equations. (English) Zbl 1435.30103 Aequationes Math. 94, No. 1, 59-69 (2020). MSC: 30D30 30D20 30D15 PDFBibTeX XMLCite \textit{L. Wu} et al., Aequationes Math. 94, No. 1, 59--69 (2020; Zbl 1435.30103) Full Text: DOI
Saleeby, Elias G. On meromorphic solutions of first-order Briot-Bouquet type PDEs. (English) Zbl 1430.32001 J. Math. Anal. Appl. 482, No. 1, Article ID 123517, 15 p. (2020). MSC: 32A15 30D30 PDFBibTeX XMLCite \textit{E. G. Saleeby}, J. Math. Anal. Appl. 482, No. 1, Article ID 123517, 15 p. (2020; Zbl 1430.32001) Full Text: DOI
Han, Q.; Lü, F. On the equation \(f^n(z) + g^n(z) = E^{ \alpha z+ \beta }\). (English) Zbl 1433.30085 J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 2, 98-102 (2019) and Izv. Nats. Akad. Nauk Armen., Mat. 54, No. 2, 90-96 (2019). MSC: 30D30 30D35 34M05 PDFBibTeX XMLCite \textit{Q. Han} and \textit{F. Lü}, J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 2, 98--102 (2019; Zbl 1433.30085) Full Text: DOI arXiv
Hu, Pei-Chu; Wang, Qiong On meromorphic solutions of functional equations of Fermat type. (English) Zbl 1423.39030 Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 2497-2515 (2019). Reviewer: Sergei V. Rogosin (Minsk) MSC: 39B32 34M05 30D30 11D41 PDFBibTeX XMLCite \textit{P.-C. Hu} and \textit{Q. Wang}, Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 2497--2515 (2019; Zbl 1423.39030) Full Text: DOI arXiv
Lü, Feng; Li, Zhen Meromorphic solutions of Fermat type partial differential equations. (English) Zbl 1420.35027 J. Math. Anal. Appl. 478, No. 2, 864-873 (2019). MSC: 35B08 30D30 35G20 34M05 PDFBibTeX XMLCite \textit{F. Lü} and \textit{Z. Li}, J. Math. Anal. Appl. 478, No. 2, 864--873 (2019; Zbl 1420.35027) Full Text: DOI
Ishizaki, Katsuya; Kimura, Naofumi Entire and meromorphic solutions of the functional equation \(f^n+g^n+h^n=1\) and differential equations. (English) Zbl 1419.30019 Comput. Methods Funct. Theory 19, No. 1, 157-172 (2019). MSC: 30D35 30D05 PDFBibTeX XMLCite \textit{K. Ishizaki} and \textit{N. Kimura}, Comput. Methods Funct. Theory 19, No. 1, 157--172 (2019; Zbl 1419.30019) Full Text: DOI
Chen, Wei; Han, Qi; Liu, Jingbo On Fermat Diophantine functional equations, little Picard theorem and beyond. (English) Zbl 1475.30077 Aequationes Math. 93, No. 2, 425-432 (2019). MSC: 30D30 11D99 39B32 PDFBibTeX XMLCite \textit{W. Chen} et al., Aequationes Math. 93, No. 2, 425--432 (2019; Zbl 1475.30077) Full Text: DOI arXiv
Liu, Kai; Ma, Lei; Zhai, Xiaoyang The generalized Fermat type difference equations. (English) Zbl 1421.30045 Bull. Korean Math. Soc. 55, No. 6, 1845-1858 (2018). Reviewer: Katsuya Ishizaki (Chiba) MSC: 30D35 39A05 PDFBibTeX XMLCite \textit{K. Liu} et al., Bull. Korean Math. Soc. 55, No. 6, 1845--1858 (2018; Zbl 1421.30045) Full Text: Link
Lü, Feng; Han, Qi On the Fermat-type equation \({f^3(z)+f^3(z+c)=1}\). (English) Zbl 1378.30015 Aequationes Math. 91, No. 1, 129-136 (2017). Reviewer: Risto Korhonen (Joensuu) MSC: 30D35 39A10 39B32 PDFBibTeX XMLCite \textit{F. Lü} and \textit{Q. Han}, Aequationes Math. 91, No. 1, 129--136 (2017; Zbl 1378.30015) Full Text: DOI
Saleeby, Elias G. On complex analytic solutions of certain trinomial functional and partial differential equations. (English) Zbl 1267.30098 Aequationes Math. 85, No. 3, 553-562 (2013). MSC: 30F10 32A15 35F20 35G20 PDFBibTeX XMLCite \textit{E. G. Saleeby}, Aequationes Math. 85, No. 3, 553--562 (2013; Zbl 1267.30098) Full Text: DOI
Li, Bao Qin On Fermat-type functional and partial differential equations. (English) Zbl 1247.32007 Sabadini, Irene (ed.) et al., The mathematical legacy of Leon Ehrenpreis. Berlin: Springer (ISBN 978-88-470-1946-1/hbk; 978-88-470-1947-8/ebook). Springer Proceedings in Mathematics 16, 209-222 (2012). MSC: 32A15 32A20 PDFBibTeX XMLCite \textit{B. Q. Li}, Springer Proc. Math. 16, 209--222 (2012; Zbl 1247.32007) Full Text: DOI
Gundersen, Gary G.; Laine, Ilpo On the meromorphic solutions of some algebraic differential equations. (English) Zbl 0593.34014 J. Math. Anal. Appl. 111, 281-300 (1985). Reviewer: K.Takano MSC: 34M05 30D20 30D30 30D35 PDFBibTeX XMLCite \textit{G. G. Gundersen} and \textit{I. Laine}, J. Math. Anal. Appl. 111, 281--300 (1985; Zbl 0593.34014) Full Text: DOI
Gol’dberg, A. A. Meromorphic functions. (English) Zbl 0335.30022 J. Sov. Math. 4, 157-216 (1975). MSC: 30D30 30D35 PDFBibTeX XMLCite \textit{A. A. Gol'dberg}, J. Sov. Math. 4, 157--216 (1975; Zbl 0335.30022) Full Text: DOI
Gross, F. On the equation \(f^ n +g^ n = 1\). II. (English) Zbl 0159.20201 Bull. Am. Math. Soc. 74, 647-648 (1968). PDFBibTeX XMLCite \textit{F. Gross}, Bull. Am. Math. Soc. 74, 647--648 (1968; Zbl 0159.20201) Full Text: DOI