Legendre inversions and Ultra-hypergeometric series identities

  • Basen . Department of Mathematics, College of Sciences and Technology, Inner Mongolia University Huhhot 010021, P. R.
  • Wuyungaowa . Department of Mathematics, College of Sciences and Technology, Inner Mongolia University Huhhot 010021, P. R.
Keywords: Ultra-hypergeometric series; Legendre inversions; convolution formula

Abstract

In this paper, we extension of hypergeometric series to obtain a new α-hypergeometric series, we establish three terminating Ultra-hypergeometric series identities, by means of Legendre inverse series relations. By using the linear combination between these three identities, we can obtain new terminating Ultra-hypergeometric series identities.

References

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Published
2019-01-11
How to Cite
., B., & ., W. (2019). Legendre inversions and Ultra-hypergeometric series identities. Journal of Progressive Research in Mathematics, 14(3), 2437-2445. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1680
Section
Articles