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Let f be a transcendental meromorphic function and $g (z) = f (z + c ₁) + \dots + f (z + c_{k}) - k f (z)$ and $g_{k} (z) = f (z + c ₁) \dots f (z + c_{k}) - f^{k} (z)$ . A number of results are obtained concerning the exponents of convergence of the zeros of g(z), $g_{k} (z)$ , g(z)/f(z), and $g_{k} (z) / f^{k} (z)$ .

On $ε$ -invariant measures and a functional equation

Kazimierz Nikodem (1991)

Czechoslovak Mathematical Journal

On ω-convex functions

Tomasz Szostok (2011)

Banach Center Publications

In Orlicz spaces theory some strengthened version of the Jensen inequality is often used to obtain nice geometrical properties of the Orlicz space generated by the Orlicz function satisfying this inequality. Continuous functions satisfying the classical Jensen inequality are just convex which means that such functions may be described geometrically in the following way: a segment joining every pair of points of the graph lies above the graph of such a function. In the current paper we try to obtain...

One-parameter system of functional equation. (Summary).

Stefania Paganoni-Marzegalli (1993)

Aequationes mathematicae

One-parameter system of functional equations.

Stefania Paganoni Marzegalli (1994)

Aequationes mathematicae

Opérateurs multiplicativement liés

Claude Piquet (1973/1974)

Séminaire Choquet. Initiation à l'analyse

Operations between sets in geometry

Richard J. Gardner, Daniel Hug, Wolfgang Weil (2013)

Journal of the European Mathematical Society

An investigation is launched into the fundamental characteristics of operations on and between sets, with a focus on compact convex sets and star sets (compact sets star-shaped with respect to the origin) in $n$ -dimensional Euclidean space $ℝ^{n}$ . It is proved that if $n \geq 2$ , with three trivial exceptions, an operation between origin-symmetric compact convex sets is continuous in the Hausdorff metric, $G L (n)$ covariant, and associative if and only if it is $L_{p}$ addition for some $1 \leq p \leq \infty$ . It is also demonstrated that if $n \geq 2$ ,...

Optimal bounds for the length of rational Collatz cycles

Lorenz Halbeisen, Norbert Hungerbühler (1997)

Acta Arithmetica

Orbit properties of functions and "Pre-Abel'' equations

György Targoński (1977)

Annales Polonici Mathematici

Original title unknown

Issledovanija po prikladnoj matematike

Orlicz spaces which are Lp-spaces.

Karol Baron, Henryk Hudzig (1994)

Aequationes mathematicae

Orlicz spaces which are Lp-spaces. (Summary).

K. Baron, Henryk Hudzik (1994)

Aequationes mathematicae

Orthogonal and additivity modulo a subgroup.

Jürg Rätz, Karl Baron (1993)

Aequationes mathematicae

Orthogonality and additivity modulo a subgroup. (Summary).

Karol Baron, Jürg Rätz (1993)

Aequationes mathematicae

Orthogonality preserving property, Wigner equation, and stability.

Chmieliński, Jacek (2006)

Journal of Inequalities and Applications [electronic only]

Orthogonally additive mappings on Hilbert modules

Dijana Ilišević, Aleksej Turnšek, Dilian Yang (2014)

Studia Mathematica

We study the representation of orthogonally additive mappings acting on Hilbert C*-modules and Hilbert H*-modules. One of our main results shows that every continuous orthogonally additive mapping f from a Hilbert module W over 𝓚(𝓗) or 𝓗𝓢(𝓗) to a complex normed space is of the form f(x) = T(x) + Φ(⟨x,x⟩) for all x ∈ W, where T is a continuous additive mapping, and Φ is a continuous linear mapping.

Oscillation and global attractivity in a nonlinear delay difference equation

Deng Hua Cheng, Ju Rang Yan (2000)

Mathematica Slovaca

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