Browsing by Author "Lekesiz, Esra Guldogan"

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    On a Symmetric Generalization of Bivariate Sturm-Liouville Problems
    (Springer Singapore Pte Ltd, 2022) Tefo, Yves Guemo; Aktas, Rabia; Area, Ivan; Lekesiz, Esra Guldogan
    A new class of partial differential equations having symmetric orthogonal solutions is presented. The general equation is presented and orthogonality is obtained using the Sturm-Liouville approach. Conditions on the polynomial coefficients to have admissible partial differential equations are given. The general case is analyzed in detail, providing orthogonality weight function, three-term recurrence relations for the monic orthogonal polynomial solutions, as well as explicit form of these monic orthogonal polynomial solutions, which are solutions of an admissible and potentially self-adjoint linear second-order partial differential equation of hypergeometric type.