
The authors prove the superstability of the functional equation \[ B(x,y)f(x,y)=f(x)f(y), \] where \(B(x,y)\) is the beta function of Euler and also prove the stability of this equation in the sense of R. Ger.
beta function, Functional equations for real functions, superstability, Applied Mathematics, Stability, separation, extension, and related topics for functional equations, stability, Ger stability, Analysis
beta function, Functional equations for real functions, superstability, Applied Mathematics, Stability, separation, extension, and related topics for functional equations, stability, Ger stability, Analysis
| citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 7 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
