## Journal of Applied Mathematics

### Solutions of $k$-Hypergeometric Differential Equations

#### 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.

#### Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 128787, 13 pages.

Dates
First available in Project Euclid: 2 March 2015

https://projecteuclid.org/euclid.jam/1425305724

Digital Object Identifier
doi:10.1155/2014/128787

Mathematical Reviews number (MathSciNet)
MR3206870

Zentralblatt MATH identifier
1318.33003

#### Citation

Mubeen, Shahid; Naz, Mammona; Rehman, Abdur; Rahman, Gauhar. Solutions of $k$ -Hypergeometric Differential Equations. J. Appl. Math. 2014 (2014), Article ID 128787, 13 pages. doi:10.1155/2014/128787. https://projecteuclid.org/euclid.jam/1425305724

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