Karayer, H.Demirhan, D.Buyukkilic, F.2019-10-272019-10-2720180022-24881089-76580022-24881089-7658https://doi.org/10.1063/1.5022008https://hdl.handle.net/11454/30417Exact solutions of the Schrodinger equation for two different potentials are presented by using the extended Nikiforov-Uvarov method. The first one is the inverse square root potential which is a long-range potential and the second one is a combination of Coulomb, linear, and harmonic potentials which is often used to describe quarkonium. Eigenstate solutions are obtained in a systematicway without using any ansatz or transformation. Eigenfunctions for considered potentials are given in terms of biconfluent Heun polynomials. Published by AIP Publishing.en10.1063/1.5022008info:eu-repo/semantics/closedAccessArticle595WOS:000433950300031Q2