Evaluating complex inverse formulas for q-Sumudu transforms
WSEAS Transactions on Mathematics, cilt.23, ss.16-25, 2024 (Scopus)
- 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.