[1] O. Biquard and T. Delcroix: Ricci flat Ka¨hler metrics on rank two complex symmetric spaces, J. E´ c. poly- tech. Math. 6 (2019), 163–201.
[2] E. Calabi: Isometric imbedding of complex manifolds, Ann. of Math. (2) 58 (1953), 1–23.
[3] E. Calabi: Me´triques ka¨hle´riennes et fibre´s holomorphes, (French) [Ka¨hler metrics and holomorphic vector bundles], Ann. Sci. E´ cole Norm. Sup. (4) 12 (1979), 269–294.
[4] L. Comtet: Advanced combinatorics, the art of the finite and infinite expansion, Springer, 1974.
[5] A. Doicu: Calabi–Yau structures on cotangent bundles, J. Differential Geom. 100 (2015), 481–489.
[6] D. Hulin: Ka¨hler–Einstein metrics and projective embeddings, J. Geom. Anal. 10 (2000), 525–528.
[7] C. Lebrun: Complete Ricci-flat Ka¨hler metrics on Cn need not be flat, Proc. Sympos. Pure Math. 52 (1991), Part. 2, 297–304.
[8] T.-C. Lee: Complete Ricci flat Ka¨hler metric on Mn, M2n, M4n , Pacific J. Math. 185 (1998), 315–326.
[9] A. Loi, F. Salis and F. Zuddas: Two conjectures on Ricci–flat Ka¨hler metrics, Math. Z. 290 (2018), 599–613.
[10] A. Loi and M. Zedda: Ka¨hler-Einstein submanifolds of the infinite dimensional projective space, Math. Ann. 350 (2011), 145–154.
[11] A. Loi and M. Zedda: Ka¨hler immersions of Ka¨hler manifolds into complex space forms, Lect. Notes of UMI, Springer (2018).
[12] A. Loi, M. Zedda and F. Zuddas: Some remarks on the Ka¨hler geometry of the Taub-NUT metrics, Ann. Global Anal. Geom. 41 (2012), 515–533.
[13] A. Loi, M. Zedda and F. Zuddas: Ricci flat Calabi’s metric is not projectively induced, Tohoku Math. J. 73(2021), 29–37.
[14] C. Spotti: Deformations of nodal Ka¨hler–Einstein del Pezzo surfaces with discrete automorphism groups,J. Lond. Math. Soc., (2) 89 (2014), 539–558.
[15] M.B. Stenzel: Ricci–flat metrics on the complexification of a compact rank one symmetric space, Manuscripta Math. 80 (1993), 151–163.
[16] F. Qi and B.-N. Guo: Viewing Some Ordinary Differential Equations from the Angle of Derivative Polyno- mials, Iran. J. Math. Sc. Inf. 16 (2021), 77–95.