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Indian Journal of Pure and Applied Mathematics

, Volume 50, Issue 4, pp 1039–1048 | Cite as

Several formulas and identities related to Catalan-Qi and q-Catalan-Qi numbers

  • Wathek ChammamEmail author
Article
  • 11 Downloads

Abstract

In the paper, the author generalizes several formulas and series identities involving the Catalan numbers and establishes several new formulas and series identities involving the Catalan-Qi numbers and q-Catalan-Qi numbers.

Key words

Formula Catalan numbers Catalan-Qi number q-analogue q-Catalan-Qi number binomial transform hypergeometric series 

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Notes

Acknowledgment

The author is grateful to an anonymous referee for careful corrections to and valuable comments on the original version of this paper. The author would like to thank the Deanship of Scientific Research at Majmaah University for supporting this work under Project No. 125-1440.

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Copyright information

© Indian National Science Academy 2019

Authors and Affiliations

  1. 1.Department of Mathematics, College of Science Al-ZulfiMajmaah UniversityAl-MajmaahSaudi Arabia
  2. 2.Department of Mathematics, Faculty of Sciences of GabèsGabès University, City of ErriadhGabèsTunisia

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