TY  - Type of reference 
TI  - On the solutions of Fermat type quadratic trinomial equations in ℂ<sup>2</sup> generated by first order linear C-SHIFT and partial differential operators 
AU  - Abhijit Banerjee
 
AU  - Jhuma Sarkar 
AB  - This article is devoted to explore various forms of transcendental entire solution of different quadratic trinomials generated by first order linear c-shift operator. We also investigate the forms of solutions of certain quadratic trinomials under linear and mixed partial differential operators. Our paper improves the results of Li-Xu [Axioms, 126(10)(2021), 1-19] in two directions. In addition, in a corollary, deducted from one of our main result, we extend a result of Zhang et al. [ Aims Math., 7(2022), 11597-11613]. A series of examples have been exhibited to justify the existence and forms of transcendental entire solution of such equations. In the last section of the paper we have put a relevant question for future research. 
DO  - 10.21494/ISTE.OP.2023.1049 
JF  - Advances in Pure and Applied Mathematics 
KW  - Fermat-type equation, entire solution, Nevanlinna theory, partial differential equation, trinomial equation, trinomial equation, partial differential equation, Fermat-type equation, entire solution, Nevanlinna theory,  
L1  - http://openscience.fr/IMG/pdf/iste_apam24v15n1_4.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2024/01/5 
SN  - 1869-6090 
TT  - Sur les solutions des equations de type Fermat quadratiques dans ℂ<sup>2</sup> engendrées par des opérateurs différentiels C-SHIFT d&#8217;ordre un  
UR  - http://openscience.fr/On-the-solutions-of-Fermat-type-quadratic-trinomial-equations-in-%E2%84%822-generated 
IS  - Issue 1 (January 2024) 
VL  - 15 
ER  -