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The incomplete exponential \boldmath{$_pR_q(\alpha,\beta;z)$} function with some applications
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  • Ankit Pal,
  • R. Jana,
  • Ghazi Khammash,
  • AJAY SHUKLA
Ankit Pal
Sardar Vallabhbhai National Institute of Technology
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R. Jana
Sardar Vallabhbhai National Institute of Technology
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Ghazi Khammash
Al Aqsa University
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AJAY SHUKLA
Sardar Vallabhbhai National Institute of Technology
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Abstract

In this paper, we are motivated to establish a generalization of $_pR_q(\alpha,\beta;z)$ function in terms of incomplete exponential functions and obtain some properties of the incomplete exponential $_pR_q(\alpha,\beta;z)$ function. Further we give generating relations for incomplete exponential $_pR_q(\alpha,\beta;z)$ function. Some applications related to ground water pumping (Hydrology) modelling and probability theory have also been discussed.