Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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AN EXTENSION OF THE WHITTAKER FUNCTION

  • Choi, Junesang (Department of Mathematics Dongguk University) ;
  • Nisar, Kottakkaran Sooppy (Department of Mathematics College of Arts and Science-Wadi Aldawaser, 11991 Prince Sattam bin Abdulaziz University) ;
  • Rahman, Gauhar (Department of Mathematics and Statistics Hazara University)
  • Received : 2020.08.19
  • Accepted : 2021.10.28
  • Published : 2021.10.31
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Abstract

The Whittaker function and its diverse extensions have been actively investigated. Here we aim to introduce an extension of the Whittaker function by using the known extended confluent hypergeometric function 𝚽p,v and investigate some of its formulas such as integral representations, a transformation formula, Mellin transform, and a differential formula. Some special cases of our results are also considered.

Keywords

Acknowledgement

The authors would like express their deep-felt thanks for the reviewer's favorable and constructive comments. The first-named author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2020R111A1A01052440).

References

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