[PDF] Top 20 Sheffer sequences of polynomials and their applications

... Equation (.) is important in deriving our results in this paper. The purpose of this pa- per is to investigate some properties of Sheffer sequences of several polynomials arising from umbral calculus. ... See full document

... special polynomials and special numbers. There are various applications of these polynomials and numbers in many branches of not only in mathe- matics and mathematical physics, but also in computer ... See full document

... Bernstein-type polynomials, Bernoulli polynomials, Euler numbers and Stirling numbers of the second ...and applications of the Bernstein-type polynomials related to solving high even-order ... See full document

... type polynomials given in (Simsek in Fixed Point Theory ...these polynomials. Finally, numerical values of these polynomials for selected cases are demonstrated with their ... See full document

... and polynomials, see details ...and polynomials, which are related to the many known polynomials and numbers such as Frobenius-Euler polynomials and numbers, Apostol-Euler polynomials ... See full document

... Chebyshev polynomials to study the power sum problem involving Fibonacci and Lucas polynomials and prove some new divisible properties involving these ... See full document

... Camenisch and Lysyanskaya presented an efficient zero-knowledge protocol for proving that a value contained in a Pedersen commitment is also contained in a particular strong-RSA accumulator [12]. The Camenisch-Lysyanskaya ... See full document

... As far as we know, it seems that nobody has studied these problems yet. In this paper, we shall use the properties of the Chebyshev polynomials of the first kind to obtain some closed formulas for the above ... See full document

... Kim et al Advances in Difference Equations 2013, 2013 41 http //www advancesindifferenceequations com/content/2013/1/41 R ES EA RCH Open Access A note on the higher order Frobenius Euler polynomials a[.] ... See full document

... Ryoo, “On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials,” Journal of Inequalities and Applications, vol... Operation[r] ... See full document

... q)−Lucas polynomials are recursive sequences that generalize several polynomial and number sequences defined by recurrence relations of order two, such as Fibonacci numbers, Lucas numbers, Pell ... See full document

... Eulerian polynomials that were discovered by Leonhard Euler have applications in ...these polynomials satisfy multiple recurrences and are enumerated by an exponential generating func- ...several ... See full document

... The integration of multivariate non-linear differential systems is a very impor- tant but challenging subject in computer algebra. Exact solutions of many such systems, especially those with complicated nonlinear terms, ... See full document

... The Boubaker polynomials were established for the first by Boubaker et al. as a guide for solving heat equation inside physical model and then for other physical applications [10,11,12]. During resolution ... See full document

... Sheffer polynomials (to be defined in next section) such as Bell polynomials, Bernoulli polynomials, Frobenius-Euler polynomials, Korobov polynomials, degenerate Bernoulli ... See full document

... A Gr¨ uss type inequality in inner product spaces and applications for the discrete Fourier transform, Mellin transform of sequences, polynomials with coefficients in Hilbert spaces and [r] ... See full document

... A discrete inequality of Gr¨ uss type in normed linear spaces and applications for the discrete Fourier transform, Mellin transform of sequences, for polynomials with coefficients in nor[r] ... See full document

... have wide applications in the development of research programme and various fields such as communication, pollution, pharmaceuticals, defense and energy storage. The use of CCPs and their PNCs have grown rapidly ... See full document

... genomic sequences can be represented mathematically by character strings of symbols from 4 alphabet sequences consisting of the letters A, T, G and ...numerical sequences, DSP acts as a powerful tool ... See full document

... required. Main results are given in Section 3 and deal with the application of a certain matrix to the various polynomial interpolants in the above results. Interestingly, we are able to show that under the matrix ... See full document