Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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GENERALIZATION OF EXTENDED APPELL'S AND LAURICELLA'S HYPERGEOMETRIC FUNCTIONS

  • Khan, N.U. (Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University) ;
  • Ghayasuddin, M. (Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University)
  • Received : 2014.12.10
  • Accepted : 2015.01.15
  • Published : 2015.03.25
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Abstract

Recently, Liu and Wang generalized Appell's and Lauricella's hypergeometric functions. Motivated by the work of Liu and Wang, the main object of this paper is to present new generalizations of Appell's and Lauricella's hypergeometric functions. Some integral representations, transformation formulae, differential formulae and recurrence relations are obtained for these new generalized Appell's and Lauricella's functions.

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References

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