TY - JOUR
T1 - Identities involving some new special polynomials arising from the applications of fractional calculus
AU - Araci, Serkan
AU - Şen, Erdoğan
AU - Acikgoz, Mehmet
AU - Oruçoğlu, Kamil
N1 - Publisher Copyright:
© 2015 NSP Natural Sciences Publishing Cor.
PY - 2015
Y1 - 2015
N2 - Inspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. Making use of the Caputo-fractional derivative, we derive some new interesting identities of these polynomials. It turns out that some known results are derived as special cases.
AB - Inspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. Making use of the Caputo-fractional derivative, we derive some new interesting identities of these polynomials. It turns out that some known results are derived as special cases.
KW - Apostol-bernoulli polynomials
KW - Apostol-euler polynomials
KW - Apostol-genocchi polynomials
KW - Caputo-fractional derivative
KW - Mittag-leffler function
UR - http://www.scopus.com/inward/record.url?scp=84937848981&partnerID=8YFLogxK
U2 - 10.12785/amis/090551
DO - 10.12785/amis/090551
M3 - Article
AN - SCOPUS:84937848981
SN - 1935-0090
VL - 9
SP - 2657
EP - 2662
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
IS - 5
ER -