A difference equation analogue of the generalized hypergeometric differential equation is defined, its contiguous relations are developed, and its relation to numerous well-known classical special functions are demonstrated.
M. Bohner and T. Cuchta, "The Generalized Hypergeometric Difference Equation," Demonstratio Mathematica, vol. 51, no. 1, pp. 62-75, Walter de Gruyter GmbH, Jan 2018.
The definitive version is available at https://doi.org/10.1515/dema-2018-0007
Mathematics and Statistics
Keywords and Phrases
Contiguous relation; Delay difference equations; Discrete hypergeometric series; Generalized hypergeometric functions; Special functions
International Standard Serial Number (ISSN)
Article - Journal
© 2018 Martin Bohner and Tom Cuchta, All rights reserved.
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This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
01 Jan 2018