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The y function applied in the study of an anomalous diffusion

Xiao‐Jun YangState Key Laboratory for Geo-Mechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, China + School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, China + College of Mathematics, China University of Mining and Technology, Xuzhou, China
2021en
ABI

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In this article, we propose a new family of the extended analogues to the Y function for the first time. The relationships among the Y function, Fox H function, Meijer G function, Wright generalized hypergeometric function, and Clausen hypergeometric function are discussed in detail. This result is used to represent the solutions for the anomalous diffusion problems.

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