naa a22 4500 510768199 CHVBK 20180411083204.0 cr unu---uuuuu 180411e20130801xx s 000 0 eng 10.1007/s12043-013-0563-y doi (NATIONALLICENCE)springer-10.1007/s12043-013-0563-y Generalized Freud's equation and level densities with polynomial potential [Elektronische Daten] [AKSHAT BOOBNA, SAUGATA GHOSH] Orthogonal polynomials with weight $\exp[-NV(x)]$ are studied where V(x) = $\sum_{k=1}^{d}a_{2k}x^{2k}/2k$ is a polynomial of order 2d. The generalized Freud's equations for d = 3, 4 and 5 are derived and using this R μ  = h μ /h μ − 1 is obtained, where h μ is the normalization constant for the corresponding orthogonal polynomials. Moments of the density functions, expressed in terms of R μ , are obtained using Freud's equation and using this, explicit results of level densities as N→ ∞ are derived using the method of resolvents. The results are compared with those using Dyson-Mehta method. Indian Academy of Sciences, 2013 Orthogonal polynomial nationallicence Freud's equation nationallicence Dyson-Mehta method nationallicence methods of resolvents nationallicence level density nationallicence BOOBNA AKSHAT The Creative School, E-791, C.R. Park, 110 017, New Delhi, India aut GHOSH SAUGATA The Creative School, E-791, C.R. Park, 110 017, New Delhi, India aut Pramana Springer India 81/2(2013-08-01), 189-202 0304-4289 81:2<189 2013 81 12043 https://doi.org/10.1007/s12043-013-0563-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12043-013-0563-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- BOOBNA AKSHAT The Creative School, E-791, C.R. Park, 110 017, New Delhi, India aut NATIONALLICENCE 700 1- GHOSH SAUGATA The Creative School, E-791, C.R. Park, 110 017, New Delhi, India aut NATIONALLICENCE 773 0- Pramana Springer India 81/2(2013-08-01), 189-202 0304-4289 81:2<189 2013 81 12043 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer