This work aims to determine the general solution f : (u, v) for suitable conditions on the function Ο : where F will denote either R or C, and K is an abelian group. Using this result, we determine the solution f : (u, v) for all x, y, u, v β C without assuming any regularity condition. Here (C β ,
On a functional equation arising in information theory
β Scribed by Wolfgang Sander
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 412 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0025-2611
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π SIMILAR VOLUMES
We consider in this paper the following functional equation which occurs in the theory of queues : + (1a)(l -F ( 4 ) 1 dG(t).
We use the Tau Method to approximate Buchstab's function which is defined by the differential-delay equation (uw(u))' = w(u -1) for u >/ 2 and w(u) = 1/u for 1 ~< u ~< 2. This equation has been treated by other authors using different numerical techniques. The errors in the Tau Method case are found
## Abstract In this paper the functional equation will be reformulated in distributions. Operators in appropriate function spaces will be introduced to mirror functional operations. Then a solution will be given for the equation in distributions. Finally it is pointed out that for regular distribu