Some generalizations of Bessel and Flett potentials associated to the Laplace-Bessel differential operator

ALİYEV İ., Yucel S.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.29, sa.3, ss.235-251, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/10652469.2017.1422735
  • Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.235-251
  • Anahtar Kelimeler: Generalized Bessel potentials, wavelet transforms, Gauss-Weierstrass semigroup, Poisson semigroup, inversion formulas, WAVELET TRANSFORMS, INVERSION, SPACES, AID
  • Akdeniz Üniversitesi Adresli: Evet

Özet

We introduce the notion of bi-parametric potential-type operators, which generalize the Bessel and Flett potentials associated to singular Laplace-Bessel differential operator. Explicit inversion formulas for them are obtained by using a special wavelet-like transform, generated by the so-called modified beta-semigroup'.