In this paper, we construct trigonometric functions in the form of a sum T p (h, k) which is
referred to as a Dedekind-type DC-(Dahee and Changhee) sum. We establish analytic …

arxiv:1310.7103v1 [math.NT] 26 Oct 2013 Page 1 arxiv:1310.7103v1 [math.NT] 26 Oct 2013
HIGHER-ORDER CHANGHEE NUMBERS AND POLYNOMIALS DAE SAN KIM AND …

In this paper, we give some new and interesting identities which are derived from the basis
of Frobenius-Euler. Recently, several authors have studied some identities of Frobenius …

In this paper, we derive the identities of higher-order Bernoulli, Euler and Frobenius-Euler
polynomials from the orthogonality of Hermite polynomials. Finally, we give some interesting …

Umbral calculus and Sheffer sequences of polynomials | Journal of Mathematical Physics |
AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers …

Barnes’ type multiple degenerate Bernoulli and Euler polynomials - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

In this paper, we study some properties of several polynomials arising from umbral calculus.
In particular, we investigate the properties of orthogonality type of the Frobeniustype …

In this paper, we study umbral calculus to have alternative ways of obtaining our results.
That is, we derive some interesting identities of the higher-order Bernoulli, Euler, and …

Apostol considered generalized Dedekind sums by replacing the first Bernoulli function
appearing in Dedekind sums by any Bernoulli functions and derived a reciprocity relation for …

arxiv:1211.1582v1 [math.NT] 6 Nov 2012 Page 1 arxiv:1211.1582v1 [math.NT] 6 Nov 2012
SOME IDENTITIES FOR BERNOULLI POLYNOMIALS INVOLVING CHEBYSHEV …