We provide strong evidence for the conjecture that analogue of Kontsevich's matrix Airy function, with cubic potential $\mathrm{Tr}(\Phi^3)$ replaced by a quartic term $\mathrm{Tr}(\Phi^4)$, obeys blobbed topological recursion Borot and Shadrin. identify in Kontsevich model three families correlation functions which we establish interwoven loop equations. One family consists symmetric meromorph...

Keywords: Squared spherical Bessel functions Regularization of Hankel series Gaussian power-law densities Kummer distributions Airy approximation of Bessel integrals a b s t r a c t Bessel integrals of type R 1 0 k lþ2 e Àak 2 ÀðbþixÞk j 2 l ðpkÞdk are studied, where the squared spherical Bessel function j 2 l is averaged with a modulated Gaussian power-law density. These inte-grals define the ...