Generalization of Mellin derivative and its applications
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.27, sa.8, ss.620-631, 2016 (SCI-Expanded, Scopus)
- 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.