{"title":"On Transcendental entire solutions of two-types of q-shift equations","authors":"Jhuma Sarkar, Abhijit Banerjee","doi":"10.1007/s11565-025-00610-3","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we have explored the forms of transcendental entire solutions for two categories of <i>q</i>-shift equations in the complex plane. The first investigation focused on Fermat-type simultaneous binomial <i>q</i>-shift equations, while the second dealt with trinomial <i>q</i>-shift equation. We have provided examples to illustrate and justify our findings.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 4","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-025-00610-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we have explored the forms of transcendental entire solutions for two categories of q-shift equations in the complex plane. The first investigation focused on Fermat-type simultaneous binomial q-shift equations, while the second dealt with trinomial q-shift equation. We have provided examples to illustrate and justify our findings.
期刊介绍:
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.