9 papers
From Umbral Hyperbolic Integrals to a Cotangent Coefficient Formula for the Mittag Leffler Polynomials
Luc Ramsès Talla Waffo
Let \(g_n(x)\) be the Mittag--Leffler polynomials defined by We derive the coefficient formula $$ g_n(x)=\frac1n\…
Dirichlet Beta Analogues, Sign Alternation, and Lerch Unification of Hyperbolic and Logarithmic Tangent Integrals
Luc Ramsès Talla Waffo
We develop a Dirichlet-beta counterpart and a structural extension of the coefficient-extraction framework for hyperbolic and logarithmic tangent integrals. For integers $m\geq n\g…
Compact Coefficient Formulae for Logarithmic Tangent and Hyperbolic Integrals
Luc Ramsès Talla Waffo
We develop compact coefficient-extraction formulae for several families of hyperbolic, logarithmic tangent, and Malmsten-type integrals whose values are finite linear combinations…
Right edge rates of the zeros of and
Luc Ramsès Talla Waffo
We consider the two families of even polynomials and studied in~\cite{TallaWaffo2026arxiv2602.16761}, together with the rescaled polynomials $\widetildeΞ_n(x):=Ξ_n(\sqr…
Structure and Zero Asymptotics of Differential Operators Associated with and
Luc Ramsès Talla Waffo
We study the second-order differential operators \(\mathcal D_Ξ\) and \(\mathcal D_Λ\) associated with the rescaled polynomial families \((\widetildeΞ_n)\) and \((\widetildeΛ_n)\),…
Asymptotic zero distribution of the polynomials
Luc Ramsès Talla Waffo
We consider the polynomials introduced in~\cite{TallaWaffo2025arxiv2511.02843} and studied in further details in\cite{TallaWaffo2026arxiv2602.16761}, which are expressed in t…