On Some Special Functions for Conformable Fractional Integrals

Sarıkaya M. Z., Akkurt A., BUDAK H., Yıldırım M. E., Yıldırım H.

Konuralp Journal of Mathematics, cilt.8, sa.2, ss.376-383, 2020 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2020
  • Dergi Adı: Konuralp Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.376-383
  • Anahtar Kelimeler: beta function, confromable fractional integrals, Gamma function, Pochhammer symbol
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the (α,k)-gamma function, (α,k)-beta function, Pochhammer symbol (x)αn,k and Laplace transforms for conformable fractional integrals. We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. The results presented here would provide generalizations of those given in earlier works.