scholarly journals An asymptotic form of Cauchy's functional equation

1982 ◽  
Vol 25 (1) ◽  
pp. 122-122
Author(s):  
A. J. Parsloe
Keyword(s):  
Functional Equation ◽  
Asymptotic Form ◽  
Cauchy’S Functional Equation

scholarly journals Cauchy's functional equation in restricted complex domains

2006 ◽  
Vol 2006 ◽  
pp. 1-12
Author(s):  
Watcharapon Pimsert ◽  
Vichian Laohakosol ◽  
Sajee Pianskool
Keyword(s):  
Functional Equation ◽  
Complex Field ◽  
Continuous Solutions ◽  
Cauchy’S Functional Equation ◽  
Restricted Domains ◽  
Uniformly Continuous

Using a method modified from that used by Pisot and Schoenberg in 1964-1965, a Cauchy's functional equation with restricted domains in the complex field is solved for uniformly continuous solutions.

scholarly journals Cauchy's functional equation and Gaussian measures

2019 ◽  
Vol 2 (3-4) ◽  
pp. 142-146
Author(s):  
Daniel W. Stroock
Keyword(s):  
Functional Equation ◽  
Gaussian Measures ◽  
Cauchy’S Functional Equation

scholarly journals Correction to: Gleason-Type Theorems from Cauchy’s Functional Equation

2020 ◽  
Vol 50 (5) ◽  
pp. 511-514
Author(s):  
Victoria J. Wright ◽  
Stefan Weigert
Keyword(s):  
Functional Equation ◽  
Cauchy’S Functional Equation

On the Functional Equations f(x+iy)| = |f(x)+f(iy)| and |f(x+iy)| = |f(x)-f(iy)| and on Ivory's Theorem

1966 ◽  
Vol 9 (4) ◽  
pp. 473-480 ◽  
Author(s):  
Hiroshi Haruki
Keyword(s):  
Functional Equation ◽  
Entire Function ◽  
Functional Equations ◽  
Cauchy’S Functional Equation

Considering Cauchy's functional equationf(z1+z2)=f(z1)+ f(z2),where f(z) is an entire function of z, we have the following functional equation:(1) |f(x+iy)|=|f(x)+f(iy)|,where x and y are real.

scholarly journals Cauchy's functional equation in the mean

1984 ◽  
Vol 51 (3) ◽  
pp. 253-257 ◽  
Author(s):  
P.D.T.A Elliott
Keyword(s):  
Functional Equation ◽  
Cauchy’S Functional Equation ◽  
The Mean
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