S-Heun operators on linear and $q$-linear grids are introduced. These special cases of Heun related to Sklyanin-like algebras. The Continuous Hahn Big $q$-Jacobi polynomials functions which these have natural actions. We show that the encompass both bispectral Kalnins Miller's structure operators. four realize limit trigonometric degeneration original Sklyanin algebra. Finite-dimensional repres...

We study linear scalar perturbations of black holes in two-dimensional (2D) gravity models with a particular emphasis on Jackiw-Teitelboim (JT) gravity. obtain an exact expression the quasinormal mode frequencies for single horizon JT and then verify it numerically using Horowitz-Hubeny method. For 2D Reissner-Nordstr\"om like solution, we find that massless wave equation reduces to confluent H...

We investigate quasinormal modes, greybody factor, and Hawking evaporation of a five-dimensional Kerr-anti--de Sitter (${\mathrm{AdS}}_{5}$) black hole by solving wave equation for test massive scalar field in terms the local Heun function. clarify distribution modes satisfying ingoing decaying boundary conditions at event horizon conformal infinity, respectively, their splitting behaviors comp...

Keun-Young Park, Geun-Woo Kim, Yong-Jun Seo, Si-Nae Heo, Hang Ju Ko, Sung-Hun Lee, Tae Kwon Song and Bon Heun Koo* School of Nano & Advanced Materials Engineering, Changwon National University, Chang Won, Korea Photovoltaic and Optoelectronic device center, Korea Photonics Technology Institute (KOPTI), Gwangju, Korea Department of Material Processing, Advanced Thin Film Research Group, Korea In...

213 Correspondence to: Chan Heun Park, Department of Surgery, Kangdong Sacred Heart Hospital, Hallym University School of Medicine, 445, Gil 1-dong, Gangdong-gu, Seoul 134-701, Korea. Tel: 022224-2222, Fax: 02-2224-1655, E-mail: [email protected] Received November 25, 2009, Accepted January 8, 2010 *Jun Ho Park and Kee Hoon Hyun contributed equally to this work. Laparoscopic vs Transumbilical Si...