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- W2127357114 abstract "The functions of hypergeometric-type are the solutions y = y�(z) of the differential equation �(z)y '' + �(z)y ' + �y = 0, whereandare polynomials of degrees not higher than 2 and 1, respectively, andis a constant. Here we consider a class of functions of hypergeometric type: those that satisfy the condition � +�� ' + 1 �(� 1)� '' = 0, whereis an arbitrary complex (fixed) number. We also assume that th e coefficients of the polynomialsanddo not depend on �. To this class of functions belong Gauss, Kummer, and Hermite functions, and also the classical orthogonal polynomials. In this work, using the constructive approach introduced by Nikiforov and Uvarov, several structural properties of t he hypergeometric-type functions y = y�(z) are obtained. Applications to hypergeometric functions and classical orthogonal polynomials are also given." @default.
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- W2127357114 date "2009-01-01" @default.
- W2127357114 modified "2023-10-01" @default.
- W2127357114 title "Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method" @default.
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