Martínez Alonso, LuisMedina Reus, Elena2023-06-202023-06-202007-11-231751-811310.1088/1751-8113/40/47/013https://hdl.handle.net/20.500.14352/51627©IOP Publishing Ltd. The authors wish to thank the Spanish Ministerio de Educación y Ciencia (research project FIS2005-00319) for its finantial support. This work is also part of the MISGAM programme of the European Science Foundation.An iterative algorithm for determining a class of solutions of the dispersionful 2-Toda hierarchy characterized by string equations is developed. This class includes the solution which underlies the large N-limit of the Hermitian matrix model in the one-cut case. It is also shown how the double scaling limit can be naturally formulated in this schemeengjournal articlehttp://dx.doi.org/10.1088/1751-8113/40/47/013http://iopscience.iop.orghttp://arxiv.org/abs/0706.0592open access51-73Integrable hierarchiesOrthogonal polynomialsDiscrete KpUniversalityEquationsLimitAsymptoticsGravityGrowthFísica-Modelos matemáticosFísica matemática