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On some q-versions of the Ramanujan Master Theorem

  • Ahmed FitouhiEmail author
  • Kamel Brahim
  • Néji Bettaibi
Article

Abstract

In this paper, we state some q-analogs of the famous Ramanujan Master Theorem. As an application, we compute some values of Jackson’s q-integrals that involve q-special functions.

Keywords

q-Mellin transform Ramanujan Master Theorem Analytic continuation 

Mathematics Subject Classification

33D60 33D15 30B40 30D10 

Notes

References

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Faculty of Sciences of TunisUniversity of Tunis El ManarTunisTunisia
  2. 2.Department of Mathematics, College of ScienceQassim UniversityBuraidahSaudi Arabia

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