Title of article
Hypergeometric-type differential equations: second kind solutions and related integrals
Author/Authors
Area، نويسنده , , I and Godoy، نويسنده , , E and Ronveaux، نويسنده , , A and Zarzo، نويسنده , , A، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
14
From page
93
To page
106
Abstract
A Rodrigues-type representation for the second kind solutions of a second-order differential equation of hypergeometric type is given. This representation contains some integrals related with relevant special functions. For these integrals, a general recurrence relation, which only involves the coefficients of the differential equation, is also presented. Finally, an extension of the Rodrigues type representation for the second solution of a second-order difference equation of hypergeometric type is indicated.
Keywords
orthogonal polynomials , Incomplete beta function , Exponential integral , error function , Incomplete gamma function , Second-order differential equations of hypergeometric type , Functions of the second kind
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2003
Journal title
Journal of Computational and Applied Mathematics
Record number
1552224
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