A new -analogue of Bernoulli polynomials associated with -adic -integrals.
A note on Hölder type inequality for the fermionic -adic invariant -integral.
On multiple generalized -Genocchi polynomials and their applications.
Multiple twisted -Euler numbers and polynomials associated with -adic -integrals.
A note on the multiple twisted Carlitz's type -Bernoulli polynomials.
Some relationships between the analogs of Euler numbers and polynomials.
Note on -extensions of Euler numbers and polynomials of higher order.
On the twisted -analogs of the generalized Euler numbers and polynomials of higher order.
A note on the modified -Bernstein polynomials.
A study on the -adic integral representation on associated with Bernstein and Bernoulli polynomials.
A note on Euler number and polynomials.
On the identities of symmetry for the generalized Bernoulli polynomials attached to of higher order.
Note on -Nasybullin's lemma associated with the modified -adic -Euler measure.
Fourier series of functions involving higher-order ordered Bell polynomials
In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the preferred arrangement numbers). In this paper, we study Fourier series of functions related to higher-order ordered Bell polynomials and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions.
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