Forced convection heat transfer in a laminar Falkner-Skan boundary layer flow with constant wall temperature is considered over a wide range of pressure gradient parameter beta and entire range of Prandtl number Pr. A new asymptotic behavior for the Nusselt number Nu(x) for large beta and arbitrary Pr is discovered by examining the dependence of the ratio of the heat transfer for arbitrary Pr to its small Pr limit on Pr/beta. Correlations for Nu(x) are developed for -0.19883774 <= beta < infinity and all Pr for boundary layer flows without flow reversal. The thermal boundary layer for point-sink flow, which is the limiting case of Falkner-Skan problem as beta -> infinity, is analyzed. The peculiar behavior of Nu(x) = 0 as beta -> infinity in the Falkner-Skan thermal problem is caused by the loss of self-similarity for the solution of boundary layer temperature in the point-sink flow. (C) 2018 Elsevier Ltd. All rights reserved.