Solutions of k-Hypergeometric Differential Equations

Shahid Mubeen; Mammona Naz; Abdur Rehman; Gauhar Rahman

doi:10.1155/2014/128787

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Home > Journals > J. Appl. Math. > Volume 2014 > Article

2014 Solutions of

k

-Hypergeometric Differential Equations

Shahid Mubeen, Mammona Naz, Abdur Rehman, Gauhar Rahman

J. Appl. Math. 2014: 1-13 (2014). DOI: 10.1155/2014/128787

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Abstract

We solve the second-order linear differential equation called the $k$ -hypergeometric differential equation by using Frobenius method around all its regular singularities. At each singularity, we find 8 solutions corresponding to the different cases for parameters and modified our solutions accordingly.

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Shahid Mubeen. Mammona Naz. Abdur Rehman. Gauhar Rahman. "Solutions of $k$ -Hypergeometric Differential Equations." J. Appl. Math. 2014 1 - 13, 2014. https://doi.org/10.1155/2014/128787