ON SOME TRANSFORMATIONS INVOLVING UNIT AND QUARTER ARGUMENTS

M.I. Qureshi
M.I. Qureshi
Dr. Chaudhary Wali Mohd.
Dr. Chaudhary Wali Mohd.
Izharul H. Khan
Izharul H. Khan
Amity University

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ON SOME TRANSFORMATIONS INVOLVING UNIT AND QUARTER ARGUMENTS

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Abstract

The main object of this paper is to obtain a general theorem on multiple series identity involving bounded sequences. The theorem, in turn, is expressed in terms of Srivastava-Daoust hypergeometric function of three variables. A known result of Joshi and Vyas is deduced as a special case of our reduction formula. Certain results involving unit and quarter arguments associated with hypergeometric more known or new results can be obtained by specializing the parameters or the variables or both.

References

12 Cites in Article
  1. W Bailey (1935). Some Theorems Concerning Products of Hypergeometric Series.
  2. H Exton (1976). Multiple Hypergeometric Functions and Applications.
  3. É Goursat (1881). Sur l'équation differéntielle linéaire qui admet pour intégrale la série hypergéométrique.
  4. C Joshi,Yashoverdhan Vyas (2005). Extensions of Bailey′s transform and applications.
  5. P Karlsson (1995). Clausen′s Hypergeometric Series with Variable 1/4.
  6. E Kümmer Ü ber die hypergeometrische reihe.
  7. A Prudnikov,Yu Brychkov,O Marichev (1986). More Special Functions.
  8. H Srivastava,M Daoust (1969). On Eulerian integrals associated with Kampé de Fériet's function.
  9. H Srivastava,M Daoust (1969). Certain generalized Neumann expansions asso-ciated with the Kampé de Fériet's function.
  10. H Srivastava,M Daoust (1972). A note on the convergence of Kampé de Fériet's double hypergeometric series.
  11. H Srivastava,P Karlsson (1985). Multiple Gaussian Hypergeometric Series.
  12. H Srivastava,H Manocha (1984). A Treatise On Generating Functions.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

M.I. Qureshi. 1970. \u201cON SOME TRANSFORMATIONS INVOLVING UNIT AND QUARTER ARGUMENTS\u201d. Unknown Journal GJSFR Volume 11 (GJSFR Volume 11 Issue 5).

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v1.2

Issue date
July 11, 2011

Language
en
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ON SOME TRANSFORMATIONS INVOLVING UNIT AND QUARTER ARGUMENTS

Dr. Chaudhary Wali Mohd.
Dr. Chaudhary Wali Mohd.
M.I. Qureshi
M.I. Qureshi <p>Amity University</p>
Izharul H. Khan
Izharul H. Khan

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