2014, Studia Mathematica 13
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À la recherche de la preuve perdue: a simple proof of the Ficken theorem
(2014)A new proof of the Ficken criterion is given together with a comment concerning the known proofs and related results. -
First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods
(2014)In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear ... -
Semiprime rings with nilpotent Lie ring of inner derivations
(2014)We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions. -
On generalized M-projectively recurrent manifolds
(2014)The purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized Mprojectively recurrent manifolds have been studied under certain curvature conditions. ... -
On the gluing of hyperconvex metrics and diversities
(2014)In this work we consider two hyperconvex diversities (or hyperconvex metric spaces) $(X, δ_x)$ and $(Y, δ_y)$ with nonempty intersection and we wonder whether there is a natural way to glue them so that the new ... -
Starlike functions of complex order involving q-hypergeometric functions with fixed point
(2014)Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with $f(ξ) = f'(ξ) − 1 = 0, ξ (|ξ| = d)$ is a fixed point in the open disc $U = \{z ∈ C : |z| < 1\}$. In this paper ... -
A note on the convergence of partial Szász-Mirakyan type operators
(2014)In this paper we study approximation properties of partial modified Szasz-Mirakyan operators for functions from exponential weight spaces. We present some direct theorems giving the degree of approximation for these ... -
On some flat connection associated with locally symmetric surface
(2014)For every two-dimensional manifold $M$ with locally symmetric linear connection $∇$, endowed also with $∇-parallel$ volume element, we construct a flat connection on some principal fibre bundle $P(M,G)$. Associated with ... -
Perturbation of Toeplitz operators and reflexivity
(2014)It was shown that the space of Toeplitz operators perturbated by finite rank operators is 2-hyperreflexive. -
Simple proofs of some generalizations of the Wilson’s theorem
(2014)In this paper a remarkable simple proof of the Gauss’s generalization of the Wilson’s theorem is given. The proof is based on properties of a subgroup generated by element of order 2 of a finite abelian group. Some conditions ... -
Annales Universitatis Paedagogicae Cracoviensis. 149. Studia Mathematica 13
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2014)Quite a lot changes have happened to the journal I edit since 2007. External conditions out of the journal control led to replacing the word Academiae in the title of the series by the word Universitatis. Going online, ...
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