
Efraimidis, I., Gaona, J., Hernandez, R., & Venegas, O. (2017). On harmonic Blochtype mappings. Complex Var. Elliptic Equ., 62(8), 1081–1092.
Abstract: Let f be a complexvalued harmonicmapping defined in the unit disk D. We introduce the following notion: we say that f is a Blochtype function if its Jacobian satisfies This gives rise to a new class of functions which generalizes and contains the wellknown analytic Bloch space. We give estimates for the schlicht radius, the growth and the coefficients of functions in this class. We establish an analogue of the theorem which, roughly speaking, states that for. analytic log. is Bloch if and only if. is univalent.



Sha, L. Z., Huang, C. L. X., Shporer, A., Rodriguez, J. E., Vanderburg, A., Brahm, R., et al. (2021). TOI954 b and K2329 b: Shortperiod Saturnmass Planets that Test whether Irradiation Leads to Inflation. Astron. J., 161(2), 82.
Abstract: We report the discovery of two shortperiod Saturnmass planets, one transiting the G subgiant TOI954 (TIC 44792534, V = 10.343, T = 9.78) observed in TESS sectors 4 and 5 and one transiting the G dwarf K2329 (EPIC 246193072, V = 12.70, K = 10.67) observed in K2 campaigns 12 and 19. We confirm and characterize these two planets with a variety of groundbased archival and followup observations, including photometry, reconnaissance spectroscopy, precise radial velocity, and highresolution imaging. Combining all available data, we find that TOI954 b has a radius of 0.852(0.062)(+0.053) RJ and a mass of 0.174(0.017)(+0.018) MJ and is in a 3.68 day orbit, while K2329 b has a radius of 0.774(0.024)(+0.026) RJ and a mass if 0.260(0.022)(+0.020) MJ and is in a 12.46 day orbit. As TOI954 b is 30 times more irradiated than K2329 b but more or less the same size, these two planets provide an opportunity to test whether irradiation leads to inflation of Saturnmass planets and contribute to future comparative studies that explore Saturnmass planets at contrasting points in their lifetimes.

