Generalization of Mellin derivative and its applications

Kargin L., Corcino R. B.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.27, sa.8, ss.620-631, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 8
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1080/10652469.2016.1174701
  • Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.620-631
  • Anahtar Kelimeler: Stirling numbers, Bell numbers, exponential numbers and polynomials, geometricnumbers and polynomials, STIRLING NUMBERS
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this paper we define generalized exponential polynomials by means of the generalization of the Mellin derivative (xD). We give different proofs for some known results and obtain a new recurrence relation and a new operator formula for generalized exponential polynomials. We also define generalized geometric polynomials by means of the generalization of the Mellin derivative (xD) and obtain their basic properties.