Solution to p ( x ) 2 = 1 + p ( x − 1) p ( x + 1)

In [1], De and Bhattacharya conclude their article with the following problem for the reader:Determine all polynomials p with real coefficients that satisfy (1) p(x)2=1+p(x−1)p(x+1) for all real x....

Authors

S. C. Dutta Roy (ORCID: https://orcid.org/0000-0002-1723-3850)

Institutions

Indian Institute of Technology Delhi (IN)

Publication Details

Journal: The Mathematical Gazette
Published: 2026-10-19
DOI: https://doi.org/10.1080/00255572.2026.2745722
Primary Topic: Mathematical functions and polynomials
Type: article
Field-Weighted Citation Impact: 0.00

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article

Solution to p ( x ) 2 = 1 + p ( x − 1) p ( x + 1)

S. C. Dutta Roy

Oct 19, 2026

The Mathematical Gazette

Mathematical functions and polynomials

article

Solution to p ( x ) 2 = 1 + p ( x − 1) p ( x + 1)

S. C. Dutta Roy

October 19, 2026article en

Abstract

The Mathematical Gazette

Indian Institute of Technology Delhi (IN)

Openalex Percentile: Top 6%

Mathematical functions and polynomials

DOI Source OpenAlex

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Solution to p ( x ) 2 = 1 + p ( x − 1) p ( x + 1) — S. C. Dutta Roy · The Mathematical Gazette (2026) | TGRS Research Map | TGRS