Some functional equations originating from number theory

DOI10.1007/BF02829761zbMath1041.39016arXivmath/0310287OpenAlexW2090888339MaRDI QIDQ1422297

Jae-Hyeong Bae, Jung, Soon-Mo

Publication date: 11 February 2004

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310287

zbMATH Keywords

stabilityfunctional equation of complex numbersfunctional equation of quaternionsmultiplicative equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32)

Related Items (15)

Multiplicative type functional equations in a ring ⋮ A parametric functional equation originating from number theory ⋮ Some functional equations related to number theory ⋮ A functional equation related to the product in a quadratic number field ⋮ Solution of a general pexiderized permanental functional equation ⋮ Unnamed Item ⋮ Ulam's type stability of involutional-exponential functional equations ⋮ Stability of two functional equations arising from number theory ⋮ Stability of exponential functional equations with involutions ⋮ On two functional equations originating from number theory ⋮ Matrix homomorphism equations on a class of monoids and non abelian groupoids ⋮ A functional equation originated from the product in a cubic number field ⋮ Functional equations in matrix normed spaces ⋮ A class of semigroup homomorphisms arising from the product in a pure quartic number field ⋮ Conditional functional equations on restricted domains of measure zero

Cites Work

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• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of functional equations and a problem of Ulam
• On the stability of functional equations in Banach spaces
• Hyers-Ulam stability of functional equations in several variables
• The Stability of the Cosine Equation
• On a Theorem of Baker, Lawrence and Zorzitto
• The Stability of the Equation f(x + y) = f(x)f(y)
• On the Stability of the Linear Mapping in Banach Spaces
• The stability of the exponential equation
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms
• Stability of functional equations in several variables

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