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On the superstability of the cosine and sine type functional equations

100%

Lehlou F., Moussa M., Roukbi A., Kabbaj S.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2016

tom 15

In this paper, we study the superstablity problem of the cosine and sine type functional equations: f(xσ(y)a)+f(xya)=2f(x)f(y) $$f(x\sigma (y)a) + f(xya) = 2f(x)f(y)$$ and f(xσ(y)a)−f(xya)=2f(x)f(y), $$f(x\sigma (y)a) - f(xya) = 2f(x)f(y),$$ where f : S → ℂ is a complex valued function; S is a semigroup; σ is an involution of S and a is a fixed element in the center of S.

Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

76%

Luo L.-Q., Zheng X.-M.

Open Mathematics

2016

tom 14

nr 1

970-976

In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the convergence exponents of the zeros, poles, a-points and small function value points of the solutions, which show the relations in the case of non-homogeneous equations are sharper than the ones in the case of homogeneous equations.

Ograniczanie wyników

1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Open Mathematics

1 Kabbaj S.

1 Lehlou F.

1 Luo L.-Q.

1 Moussa M.

1 Roukbi A.

1 Zheng X.-M.

2 2016

Wyniki wyszukiwania

On the superstability of the cosine and sine type functional equations

Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations