Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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CERTAIN NEW EXTENSION OF HURWITZ-LERCH ZETA FUNCTION

  • KHAN, WASEEM A. (Department of Mathematics, Faculty of Science, Integral University) ;
  • GHAYASUDDIN, M. (Department of Mathematics, Faculty of Science, Integral University) ;
  • AHMAD, MOIN (Department of Mathematics, Faculty of Science, Integral University)
  • Received : 2018.06.06
  • Accepted : 2018.09.17
  • Published : 2019.01.30
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Abstract

In the present research paper, we introduce a further extension of Hurwitz-Lerch zeta function by using the generalized extended Beta function defined by Parmar et al.. We investigate its integral representations, Mellin transform, generating functions and differential formula. In view of diverse applications of the Hurwitz-Lerch Zeta functions, the results presented here may be potentially useful in some related research areas.

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References

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