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math.CA2026
Quartic Fourier-Laplace limits for -Rogers-Szegő polynomials
Per Åhag, Rafał Czyż, Per-Håkan Lundow
We prove asymptotic formulae for positive real -Rogers-Szegő polynomials when the quadratic term in the expansion about the middle coefficient vanishes. For coefficient indi…
math.CA2026
On -binomial coefficient ratios for complex parameters
Per Åhag, Rafał Czyż, Per-Håkan Lundow
We prove local asymptotics for near-central complex -binomial coefficient moduli ratios allowing an imaginary parameter perturbation of order at a leng…