Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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THE INCOMPLETE LAURICELLA AND FIRST APPELL FUNCTIONS AND ASSOCIATED PROPERTIES

  • Choi, Junesang (Department of Mathematics, Dongguk University) ;
  • Parmar, Rakesh K. (Department of Mathematics, Government College of Engineering and Technology) ;
  • Chopra, Purnima (Department of Mathematics, Marudhar Engineering College)
  • Received : 2014.05.19
  • Accepted : 2014.07.07
  • Published : 2014.09.25
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Abstract

Recently, Srivastava et al. [18] introduced the incomplete Pochhammer symbol and studied some fundamental properties and characteristics of a family of potentially useful incomplete hypergeometric functions. Here we introduce the incomplete Lauricella function ${\gamma}_D^{(n)}$ and ${\Gamma}_D^{(n)}$ of n variables, and investigate certain properties of the incomplete Lauricella functions, for example, their various integral representations, differential formula and recurrence relation, in a rather systematic manner. Some interesting special cases of our main results are also considered.

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References

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