Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ANALYSIS OF AN EXTENDED WHITTAKER FUNCTION AND ITS PROPERTIES

  • Nabiullah Khan (Department of Applied Mathematics, Aligarh Muslim University, Faculty of Engineering and Technology) ;
  • Saddam Husain (Department of Applied Mathematics, Aligarh Muslim University, Faculty of Engineering and Technology) ;
  • M. Iqbal Khan (Department of Applied Mathematics, Aligarh Muslim University, Faculty of Engineering and Technology)
  • Received : 2022.01.15
  • Accepted : 2023.01.16
  • Published : 2023.06.01
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Abstract

For the numerous uses and significance of the Whittaker function in the diverse research areas of mathematical sciences and engineering sciences, This paper aims to introduce an extension of the Whittaker function by using a new extended confluent hypergeometric function of the first kind in terms of the Mittag-Leffler function. We also drive various valuable results like integral representation, integral transform and derivative formula. Further, we also analyze specific known results as a particular case of the main result.

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References

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