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An Extended k-type Hypergeometric Functions. (arXiv:1705.03762v2 [math.CA] UPDATED)

来源于:arXiv
Hypergeometric functions and their generalizations play an important r\^{o}les in diverse applications. Many authors have been established generalizations of hypergeometric functions by a number ways. In this paper, we aim at establishing (presumably new) extended $k-$type hypergeometric function $_{2}f_{1}^{k}[a, b; c; \omega; z]$ and study various properties including integral representations, differential formulas and fractional integral and derivative formula. 查看全文>>