The cosine functional equation for nilpotent groups

1977 ◽  
Vol 15 (1) ◽  
pp. 99-106 ◽  
Author(s):  
Ilie Corovei
Keyword(s):  
Functional Equation ◽  
Nilpotent Groups ◽  
Cosine Functional Equation

The superstability of d’Alembert’s functional equation on step 2 nilpotent groups

2007 ◽  
Vol 74 (3) ◽  
pp. 226-241 ◽  
Author(s):  
Ahmed Redouani ◽  
Elhoucien Elqorachi ◽  
Themistocles M. Rassias
Keyword(s):  
Functional Equation ◽  
Nilpotent Groups ◽  
D’Alembert’S Functional Equation

A Cosine Functional Equation with Restricted Argument

1974 ◽  
Vol 17 (4) ◽  
pp. 505-509 ◽  
Author(s):  
L. B. Etigson
Keyword(s):  
Functional Equation ◽  
The Other ◽  
Single Element ◽  
Discrete Subset ◽  
Cosine Functional Equation ◽  
Cosine Functions

We name a functional equation with restricted argument one in which at least one of the variables is restricted to a certain discrete subset of the domain of the other variable(s). In particular, the subset may consist of a single element.The purpose of this paper is to present a functional equation satisfied only by cosine functions.

scholarly journals An application of Nevanlinna-pólya theorem to a cosine functional equation

1970 ◽  
Vol 11 (3) ◽  
pp. 325-328 ◽  
Author(s):  
Hiroshi Haruki
Keyword(s):  
Functional Equation ◽  
Entire Function ◽  
Complex Variable ◽  
Complex Variables ◽  
Cosine Functional Equation ◽  
Image Position

We consider the cosine functional equation (see [1, 2, 3]) , where f(z) is an entire function of a complex variable z and x, y are complex variables.

On an exponential-cosine functional equation

1988 ◽  
Vol 19 (4) ◽  
pp. 287-297 ◽  
Author(s):  
J. C. Parnami ◽  
H. Singh ◽  
H. L. Vasudeva
Keyword(s):  
Functional Equation ◽  
Cosine Functional Equation
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