2 problems

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Coefficient-wise Wright log-convexity and log-concavity in the first parameter of the normalized incomplete beta function
For $a,b,\alpha,\beta>0$ and $x\tsim(0,1)$ , write the relevant generalized Turán expression as a power series whose coefficients are denoted by $\psi_k$ . Coefficient-wise first-par…
Conjectureopenincomplete-beta-functions log-convexity special-functionsarXiv posted 2 days ago
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Conjecture on unrestricted signs of generalized Turán determinants for the normalized incomplete beta function
The normalized incomplete beta function $I_x(a,b)$ is considered through generalized Turán determinants formed by shifts in its parameters. Under additional restrictions, the assoc…
Conjectureopenincomplete-beta-functions log-concavity special-functionsarXiv posted 2 days ago

Coefficient-wise Wright log-convexity and log-concavity in the first parameter of the normalized incomplete beta function