On a Conditional Cauchy-type Functional Equation Involving Powers

Martin-Gutierrez, Emma

Serdica Mathematical Journal (1999)

  • Volume: 25, Issue: 1, page 5-10
  • ISSN: 1310-6600

Abstract

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We solve the functional equation f(x^m + y) = f(x)^m + f(y) in the realm of polynomials with integer coefficients.

How to cite

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Martin-Gutierrez, Emma. "On a Conditional Cauchy-type Functional Equation Involving Powers." Serdica Mathematical Journal 25.1 (1999): 5-10. <http://eudml.org/doc/11500>.

@article{Martin1999,
abstract = {We solve the functional equation f(x^m + y) = f(x)^m + f(y) in the realm of polynomials with integer coefficients.},
author = {Martin-Gutierrez, Emma},
journal = {Serdica Mathematical Journal},
keywords = {Functional Equation; Cauchy functional equation; conditional functional equation; polynomial ring},
language = {eng},
number = {1},
pages = {5-10},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On a Conditional Cauchy-type Functional Equation Involving Powers},
url = {http://eudml.org/doc/11500},
volume = {25},
year = {1999},
}

TY - JOUR
AU - Martin-Gutierrez, Emma
TI - On a Conditional Cauchy-type Functional Equation Involving Powers
JO - Serdica Mathematical Journal
PY - 1999
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 25
IS - 1
SP - 5
EP - 10
AB - We solve the functional equation f(x^m + y) = f(x)^m + f(y) in the realm of polynomials with integer coefficients.
LA - eng
KW - Functional Equation; Cauchy functional equation; conditional functional equation; polynomial ring
UR - http://eudml.org/doc/11500
ER -

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