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all records (11)

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35  Articles
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We continue our study on relationships between Bernoulli polynomials and balancing (Lucas-balancing) polynomials. From these polynomial relations, we deduce new combinatorial identities with Fibonacci (Lucas) and Bernoulli numbers. Moreover, we prove a sp... see more

In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on of p-adic gamma function via their Mahler expansions. We also derived two -Volkenborn integrals of p-adic gamma function in terms of q-Daehee polynomials and numbers and q-Daehee p... see more

We define the concept of rough limit set of a triple sequence space of Bernstein-Stancu polynomials of fuzzy numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of Bernstein-Stancu polynom... see more

We define the concept of rough limit set of a triple sequence space of Bernstein-Stancu polynomials of fuzzy numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of Bernstein-Stancu polynom... see more

We present an alternative deduction of the Gould’s relation for Stirling numbers of the second kind. Our approach is based in the Nörlund polynomials and in the duality property between the Stirling numbers.

We continue our study on relationships between Fibonacci (Lucas) numbers and Bernoulli numbers and polynomials. The derivations of our results are based on functional equations for the respective generating functions, which in our case are combinations of... see more

In this paper, we introduce a parametric type of Bernoulli polynomials with higher level and study their characteristic and combinatorial properties. We also give determinant expressions of a parametric type of Bernoulli polynomials with higher level. The... see more

In this paper, we introduce a new class of generalized  polynomials associated with  the modified Milne-Thomson's polynomials F_{n}^{(a)}(x,?) of degree n and order a introduced by  Derre and Simsek.The concepts of Bernoulli numbers B_n, Be... see more

In the note, the authors express the generalized Fibonacci polynomials in terms of a tridiagonal determinant. Consequently, they also express the Fibonacci numbers and polynomials in terms of tridiagonal determinants.

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