On q-Sumudu Transforms of Certain q-Polynomials

Albayrak D., Purohit S. D., UÇAR F.

FILOMAT, cilt.27, sa.2, ss.411-427, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.2298/fil1302411a
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.411-427
  • Anahtar Kelimeler: q-Sumudu transforms, q-Hypergeometric functions, q-special polynomials, Fox's H-function
  • Marmara Üniversitesi Adresli: Evet

Özet

Although Sumudu transform is the theoritical dual of the Laplace transform, it has many applications in sciences and engineering for its special fundamental properties. In a previous paper [3], we studied q-analogues of the Sumudu transform and derived some fundamental properties. This paper follows the previous paper and aims to provide some applications of the q-Sumudu transform. The authors give q-Sumudu transforms of some q-polynomials and q-functions. Also, we evaluated the q-Sumudu transform of basic analogue of Fox's H-function.