Evaluating complex inverse formulas for q-Sumudu transforms

ALBAYRAK D., UÇAR F., Purohit S. D.

WSEAS Transactions on Mathematics, cilt.23, ss.16-25, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23
  • Basım Tarihi: 2024
  • Dergi Adı: WSEAS Transactions on Mathematics
  • Derginin Tarandığı İndeksler: Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.16-25
  • Anahtar Kelimeler: Complex inversion formula, Integral transforms, q-Sumudu transforms, Sumudu transform
  • Marmara Üniversitesi Adresli: Evet

Özet

In this paper, q-analogues of the Sumudu transform, along with an inversion formula and some explicit computations, are presented. This work essentially focuses on q-analogues of the inverse Sumudu transform and the construction method of the inversion formula via a path integral along a Bromwich contour. It is also shown how the complex inversion formulas considered in this paper admit q-expansions that yield various inverse q- Sumudu transforms for q-series.