Author

Valmir Krasniqi

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Preprint Sep 2026

The Guo-Zhang-Qi conjecture and positive Laplace kernels for a digamma power family

We study logarithmic complete monotonicity of a power family built from the digamma function. An explicit Laplace representation of its negative logarithmic derivative reduces the question to positivity of a continuous kernel. We prove a strict kernel bound on an explicit parameter range and obtain uniform lower bounds...

Valmir Krasniqi · 0 citations

Preprint Oct 2026

Noninteger completely monotonic degrees of Stirling remainders and their derivatives

For Stirling expansions truncated after at least two Bernoulli terms, we disprove the three real-degree conjectures recorded by Mahmoud and Qi for the signed remainders of the logarithm of the gamma function and their derivatives. We give a unified proof of the corresponding integer-degree formula, recovering known cas...

Valmir Krasniqi · 0 citations