1 citations · 2 across the 5 of their papers we have counts for
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Analyzing a Seneta's conjecture by using the Williamson transform
Edward Omey, Meitner Cadena
Considering slowly varying functions (SVF), Seneta in 2019 conjectured the following implication, for , $$ \int_0^x y^{α-1}(1-F(y))dy\textrm{ is SVF}\ \Longrightarrow\ \int…
A new test for convergence of positive series
Vyacheslav Abramov, Meitner Cadena, Edward Omey
The paper provides a new test of convergence and divergence of positive series. In particular, it extends the known test by Margaret Martin [%\emph{Bull. Amer. Math. Soc.} \textbf{…
Regular Variation and Raabe
Christopher N. B. Hammond, Edward Omey
There are many tests for determining the convergence or divergence of series. The test of Raabe and the test of Betrand are relatively unknown and do not appear in most classical c…
New results on the order of functions at infinity
Meitner Cadena, Marie Kratz, Edward Omey
Recently, new classes of positive and measurable functions, and , have been defined in terms of their asymptotic behaviour at infinity, wh…
Generalised regular variation of arbitrary order
Edward Omey, Johan Segers
Let be a measurable, real function defined in a neighbourhood of infinity. The function is said to be of generalised regular variation if there exist functions $h \not\equi…