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On the g-Jacobi Matrix Functions

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Advances in Applied Mathematics and Approximation Theory

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 41))

Abstract

In this paper, we introduce a matrix version of the generalized Jacobi (g-Jacobi) function, which is a solution of fractional Jacobi differential equation, and study its fundamental properties. We also present the fractional hypergeometric matrix function as a solution of the matrix generalization of the fractional Gauss differential equation. Some special cases are discussed.

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Correspondence to Bayram Çekim .

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Çekim, B., Erkuş-Duman, E. (2013). On the g-Jacobi Matrix Functions. In: Anastassiou, G., Duman, O. (eds) Advances in Applied Mathematics and Approximation Theory. Springer Proceedings in Mathematics & Statistics, vol 41. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6393-1_4

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