[PDF] Top 20 On the Lucas polynomials and some of their new identities
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On the Lucas polynomials and some of their new identities
... Chebyshev polynomials to obtain some identi- ties involving Fibonacci numbers and Lucas ...proved some divisible properties involving Fibonacci numbers and Lucas ...numbers. Some ... See full document
8
Several identities involving the Fibonacci polynomials and Lucas polynomials
... In this paper, the authors consider infinite sums derived from the reciprocals of the Fibonacci polynomials and Lucas polynomials. Then applying the floor function to the reciprocals of these sums, the ... See full document
14
On the degenerate \((h,q)\) Changhee numbers and polynomials
... and polynomials are introduced by Kim, Kim and Seo ...those polynomials are characterized. In this paper, we investigate a new q-analog of the higher order degenerate Changhee polynomials and ... See full document
15
Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... But we should notice that (2.5) and (2.6) are equivalent to (2.1) and (2.2), respectively. This is because when k goes from 0 to n, n −k also goes from 0 to k. Hence if we replace k by n −k in (2.1) and (2.2), we can ... See full document
7
Some convolution identities for Frobenius Euler polynomials
... state some new convolution identities for the classical Frobenius-Euler polynomials, by virtue of which some known results including the classical ones due to Carlitz [] are obtained ... See full document
16
Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions
... for new families of special numbers and polynomials of higher ...derive identities and relations for these numbers and ...these new families of special numbers and polynomials and ... See full document
9
New identities involving generalized Fibonacci and generalized Lucas numbers
... two new identities involving generalized Fibonacci and generalized Lucas numbers are ...several identities of Fibonacci, Lucas, Pell and Pell-Lucas numbers are exhibited ... See full document
11
Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials
... which was established alternatively in [5, Theorem 4.1], [20, Eq. (2.8)], and [21, Section 3]. The identities (3.6) and (3.7) are, to the best of our knowledge, new. Remark 2. By the way, the formulas (3.4) ... See full document
12
The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials
... Fibonacci polynomials and Lucas polynomials, and infinite sums derived from the reciprocals of the square of the Fibonacci polynomials and Lucas ...several new equalities ... See full document
8
Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
... Kim et al Advances in Difference Equations 2013, 2013 73 http //www advancesindifferenceequations com/content/2013/1/73 R ES EA RCH Open Access Some new identities of Bernoulli, Euler and Hermite poly[.] ... See full document
11
Some new and explicit identities related with the Appell type degenerate q Changhee polynomials
... many new and novel identities and relations related to the Appell-type degenerate q-Changhee polynomials and also q-Changhee ...gave some relations between q-Changhee type polynomials ... See full document
8
Some new identities on the twisted carlitz's q bernoulli numbers and q bernstein polynomials
... investigate some properties for the twisted Carlitz’s q -Bernoulli ...give some relations between the twisted Carlitz’s q -Bernoulli numbers and q - Bernstein ... See full document
6
Some identities for the product of two Bernoulli and Euler polynomials
... polynomial identities in ...certain polynomials as linear combinations of that basis and hence to get some new and interesting polynomial ... See full document
14
Some explicit identities on Changhee Genocchi polynomials and numbers
... a new family of functions, which is called the Changhee-Genocchi ...study some explicit identities on these polynomials, which are related to Genocchi polynomials and Changhee ... See full document
12
Some new results for the (p,q) Fibonacci and Lucas polynomials
... and Lucas polynomials appeared, some authors have explored their different ...of polynomials with real coefficients, Nalli and Haukkanen [] introduced the h(x)-Fibonacci and Lucas ... See full document
15
Some new identities of Frobenius Euler numbers and polynomials
... give some new and interesting identities which are derived from the basis of ...studied some identities of Frobenius-Euler ...interesting identities of Frobenius-Euler numbers ... See full document
10
Degenerate Changhee Genocchi numbers and polynomials
... same new and interesting identities of Changhee numbers and polynomials which are derived from the non-linear differential equation (see ...These identities and technical method are very useful ... See full document
10
Some new identities of Chebyshev polynomials and their applications
... Chebyshev polynomials, elementary methods, and combinational techniques to study the computational problem of one kind of convolution sums involving second kind Chebyshev polynomials, and we give an exact ... See full document
8
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... a new class of degenerate Hermite poly- Genocchi polynomials and give some identities of these polynomials related to the Stirling numbers of the second ...kind. Some implicit ... See full document
9
Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
... introducing various degenerate special polynomials and numbers and investigating their properties, some identities related to them and their applications. This research has been carried out by means ... See full document
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