Entire solutions of two certain types of quadratic trinomial q-difference differential equations-Reference-Cited by-同舟云学术

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Entire solutions of two certain types of quadratic trinomial q-difference differential equations

Published:2023 Issue:11 Volume:8 Page:27659-27669
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Gao Zhenguang¹,Gao Lingyun²,Liu Manli³

Affiliation:

1. Department of Mathematics, Jinan University, Guangzhou 510632, China

2. College of General Education, Guangzhou Institute of Science and Technology, Guangzhou 510540, China

3. Department of Mathematics, South China Agricultural University, Guangzhou 510642, China

Abstract

<abstract><p>The main purpose of this paper is to find the explicit forms for entire solutions of two certain types of Fermat-type q-difference differential equations. Some previous results are generalized and examples are constructed to show that the results are accurate.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference23 articles.

1. A. Wiles, Modular elliptic curves and Fermat's last theorem, Ann. Math., 141 (1995), 443–551.

2. F. Gross, On the equation $f^n+g^n = 1$, Bull. Amer. Math. Soc., 72 (1966), 86–88.

3. F. Gross, On the equation $f^n+g^n = h^n$, Am. Math. Mon., 73 (1966), 1093–1096. https://doi.org/10.2307/2314644

4. I. N. Baker, On a class of meromorphic functions, Proc. Am. Math. Soc. 17 (1966), 819–822. https://doi.org/10.2307/2036259

5. C. C. Yang, A generalization of a theorem of p. montel on entire functions, Proc. Am. Math. Soc., 26 (1970), 332–334. https://doi.org/10.2307/2036399

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