[PDF] Top 20 Some results for sums of products of Chebyshev and Legendre polynomials
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Some results for sums of products of Chebyshev and Legendre polynomials
... the Legendre polyno- mials. Similar results can also be found in [8], where the left side of ...Hermite polynomials, generalized Laguerre polynomials, Gegen- bauer polynomials and ... See full document
13
CONNECTION PROBLEM FOR SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THE THIRD AND FOURTH KINDS
... mention some of previous results on the related connection ...expressing sums of finite products of Bernoulli, Euler and Genocchi polynomials in terms of Bernoulli ...those sums ... See full document
16
Sums of finite products of Chebyshev polynomials of the third and fourth kinds
... fication of this gives us the famous Faber–Pandharipande–Zagier identity and a slightly different variant of Miki’s identity. We note here that all the other known derivations of Faber–Pandharipande–Zagier identity and ... See full document
17
Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials
... mention some of the previous works that are related to the present ...certain sums of finite products of Chebyshev polynomials of the first, second, third, and fourth kinds, and of ... See full document
15
Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
... Bernoulli polynomials just as in (1.10) and (1.12). Then, after some simple modification of this expression, we are able to obtain the famous Faber–Pandharipande–Zagier identity (see [3]) and some ... See full document
14
Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds
... the Chebyshev polynomials of all kinds, Hermite polynomials, extended Laguerre ...polynomials. Legendre polynomials, Gegenbauer polynomials, and Jacobi poly- ...that ... See full document
16
REPRESENTING SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THIRD AND FOURTH KINDS BY CHEBYSHEV POLYNOMIALS
... The results in Proposition 2.1 can be derived by using the orthogonalities in (20)-(23) and the Rodrigues formulas in (16)-(19). The statements (a) and (b) in Proposition 2.1 are respectively from the equations ... See full document
11
EXPRESSING SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THE SECOND KIND AND OF FIBONACCI POLYNOMIALS BY SEVERAL ORTHOGONAL POLYNOMIALS
... The results (a), (b), (c), (d) and (e) in Proposition 2.1 follow respectively from (3.7) of [7], (2.3) of [10] (see also (2.4) of [5]), (2.3) of [8], (2.3) of [6] and (2.7) of [11]. They can be derived from their ... See full document
18
Sums of Products of Euler Polynomials and Numbers
... The results connected with an infinite exactness of measurements appear all the time in the formalisms of quantum mechanics and quantum field theories, which have the real continuum as one of their ... See full document
8
Some new identities of Chebyshev polynomials and their applications
... of Chebyshev polynomials, elementary methods, and combinational techniques to study the computational problem of one kind of convolution sums involving second kind Chebyshev ... See full document
8
Approximate solutions of a sum type fractional integro differential equation by using Chebyshev and Legendre polynomials
... shifted Legendre and Chebyshev polynomials, we provide a numerical method for finding solutions for the ...give some examples to illustrate our ... See full document
18
Sums of products of Apostol Bernoulli and Apostol Euler polynomials
... Apostol-Euler polynomials and numbers is performed. Some closed formulae of sums of products of any number of Apostol-Bernoulli and Apostol-Euler polynomials and numbers are established ... See full document
13
On Chebyshev polynomials and their applications
... These polynomials are very important in different areas of mathematics, and many scholars have studied various properties of them and obtained a series of interesting and important ...results. Some ... See full document
6
Some properties of Chebyshev polynomials
... obtain some new bounds for Chebyshev polynomials and their ...the results about zero distributions of certain sums of Chebyshev polynomials and their ...certain ... See full document
10
REPRESENTING SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THE FIRST KIND AND LUCAS POLYNOMIALS BY CHEBYSHEV POLYNOMIALS
... paper, sums of finite products of several spe- cial polynomials, namely Chebyshev polynomials of the second, third and fourth kinds and Fibonacci, Legendre, Laguerre ... See full document
16
Sums of finite products of Legendre and Laguerre polynomials
... In this paper, we considered the Fourier series expansions for functions associated with Legendre and Laguerre polynomials. In addition, by using a method other than Fourier series expansions, we were able ... See full document
17
Option pricing with Legendre polynomials
... In the following, we focus on the pricing formula for European call option and European digital call option. The European put option and European digital put option prices can be deduced by parity. Indeed, call/put and ... See full document
34
Some results on q harmonic number sums
... 6. Sofo, A: Shifted harmonic sums of order two. Commun. Korean Math. Soc. 29(2), 239-255 (2014) 7. Flajolet, P, Salvy, B: Euler sums and contour integral representations. Exp. Math. 7(1), 15-35 (1998) 8. ... See full document
16
The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials
... Fibonacci polynomials and Lucas polyno- mials, and obtained many interesting results, see ...infinite sums derived from the reciprocals of the Fibonacci numbers and Pell num- bers, and obtained ... See full document
8
Total characters and Chebyshev polynomials
... The total character τ of a finite group G is defined as the sum of all the irreducible characters of G. K. W. Johnson asks when it is possible to express τ as a polyno- mial with integer coefficients in a single irreducible ... See full document
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