article17. 294KB Jun 04 2011 12:06:57 AM
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Completely monotonic functions involving special functions are very important because they produce sharp bounds for the polygamma functions.. Recently, Qiu and Vuorinen obtained in
Keywords: Bell numbers, near-Bell numbers, exponential generating functions, ordinary generating functions, multisets, partitions, recurrence relations. (Concerned with
Now we are able to state the following theorem, which gives an effective finiteness result for the solutions of a so-called S-unit equation over function fields, which is
In 1968, Baker [1] showed, using estimates for linear forms in logarithms of algebraic numbers, that Thue equation can be solved effectively.. The result of Baker implies that
Using known estimates for linear forms in p-adic logarithms, we prove that a previous result, con- cerning the particular case of quadratic numbers, is close to be the best
Applying this result to the matrix A/α , some properties on diagonal dominance and nonsingularity for the matrix A/α d will be presented to establish some results about the
Making use of certain linear operator, we define a new subclass of meromorphically uniformly convex functions with positive coefficients and obtain coefficient estimates, growth
On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations,
