A new functional equation of Pexider type related to the complex exponential function-Reference-Cited by-同舟云学术

A new functional equation of Pexider type related to the complex exponential function

Published:1995 Issue:8 Volume:347 Page:3111-3119
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Haruki Hiroshi,Rassias Themistocles M.

Abstract

The purpose of this paper is to solve a new functional equation, characteristic for the complex exponential function, which contains four unknown entire functions and to solve, as an application, three further functional equations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1995-347-08/S0002-9947-1995-1273494-2/S0002-9947-1995-1273494-2.pdf

Reference20 articles.

1. Mathematics in Science and Engineering, Vol. 19;Aczél, J.,1966

2. Encyclopedia of Mathematics and its Applications;Aczél, J.,1989

3. Mathematicians of Our Time, Vol. 11;Hille, Einar,1975

4. J. Aczél, Private communication.

5. On a generalization of the functional equations of Pexider;Aczél, J.;Publ. Inst. Math. (Beograd) (N.S.),1964

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hyers–Ulam stability of second-order differential equations using Mahgoub transform;Advances in Difference Equations;2021-01-07

2. Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces;Journal of Inequalities and Applications;2011-10-06

3. Homomorphisms between JC*–algebras and Lie C*–algebras;Acta Mathematica Sinica, English Series;2005-10-04

4. The Generalized Cauchy Functional Equation;Functional Equations, Inequalities and Applications;2003

5. Entire Solutions of the Hille-Type Functional Equation;Functional Equations and Inequalities;2000