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699  Articles
1 of 71 pages  |  10  records  |  more records»
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

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 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 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

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

The main purpose of this paper is to derive various Matiyasevich-Miki-Gessel type convolution identities for Bernoulli and Genocchi polynomials and numbers by applying some Euler type identities with two parameters.

Recently, Bényi and the second author introduced two combinatorial interpretations for symmetrized poly-Bernoulli polynomials. In the present study, we construct bijections between these combinatorial objects. We also define various combinatorial polynomi... see more

Vibration analysis of a beam is an important subject of study in engineering. All real physical structures, when subjected to loads or displacements, behave dynamically. In case of structure with large aspect ratio of height and length the Timoshenko beam... see more

1 of 71 pages  |  10  records  |  more records»