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Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
(ELSEVIER SCIENCE INC, 2015-07-01)
In this paper, we present a further investigation for the Apostol-Bernoulh polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ...
On applications of blending generating functions of q-Apostol-type polynomials
(BULGARIAN ACAD SCIENCE, 2019)
Motivated by Kurt's blending generating functions of q-Apostol polynomials , we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized ...
A new generalization of Apostol type Hermite-Genocchi polynomials and its applications
(SPRINGER INTERNATIONAL PUBLISHING AG, 2016-06-24)
By using the modified Milne-Thomson's polynomial given in Araci et al. (Appl Math Inf Sci 8(6):2803-2808, 2014), we introduce a new concept of the Apostol Hermite-Genocchi polynomials. We also perform a further investigation ...