[PDF] Top 20 Some identities involving Gegenbauer polynomials
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Some identities involving Gegenbauer polynomials
... of Gegenbauer polynomials of arbitrary degree n has only been obtained for the particular values of the parameter λ = , , (see ...of Gegenbauer polynomials, which makes use of ... See full document
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Some identities involving q poly tangent numbers and polynomials and distribution of their zeros
... q-poly-tangent polynomials and numbers. We also give some properties, explicit formulas, several identities, a connection with poly-tangent numbers and polynomials, and some integral ... See full document
14
Computation of Some Wonderful Results Involving Certain Polynomials
... slightly different generating function. They arise in the development of four-dimensional spherical harmonics in angular momentum theory. They are a special case of the Gegenbauer polynomial with . They are also ... See full document
10
Identities on Generalized Apostol-Genocchi Numbers and Polynomials Involving Binomial Coefficients
... [14] H. Ozden. Unification of generating function of the Bernoulli, Euler and Genoc- chi numbers and polynomials. International Conference of Numerical Analysis and Applied Mathematics 2010:AIP Conference ... See full document
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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 ... See full document
8
Operator Methods and SU(1,1) Symmetry in the Theory of Jacobi and of Ultraspherical Polynomials
... shev polynomials as their special ...pherical polynomials form a realization of the SU (1,1) Lie algebra with lowering and raising operators which we explicitly ...operator identities for the whole ... See full document
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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
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Some identities involving generalized Gegenbauer polynomials
... of Gegenbauer polynomials is relevant since it is related to the angular part of the information entropies of certain quantum mechanical systems such as the harmonic oscillator and the hydrogen atom in D ... See full document
12
Some Identities Involving the Higher Order Changhee Numbers and Polynomials
... number identities by various method [1] [2] [3] ...ious identities of the higher-order Changhee numbers and polynomials which are derived from umbral ...special polynomials and ma- thematical ... See full document
10
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
Some Results Involving Generalized Multivariable Gimel-Function and Gegenbauer Polynomials
... several Gegenbauer expansion formulae involving remarkably wide variety of useful functions ( or product of such functions) which are expressible in terms of E, F, G, H, I, Aleph- function of one and ... See full document
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SOME IDENTITIES RELATING TO EULERIAN POLYNOMIALS AND INVOLVING STIRLING NUMBERS
... two identities, which can be regarded as nonlinear differential equations, for the generating function of Eulerian polynomials, find two identities for the Stirling numbers of the sec- ond kind, and ... See full document
10
Ordinary and degenerate Euler numbers and polynomials
... sum polynomials in terms of Euler polyno- mials and also of Euler polynomials together with Stirling numbers of the second ...and polynomials were derived as ...sum polynomials associated with ... See full document
11
Some properties of the generalized Apostol-type polynomials
... study some properties of the generalized Apostol-type polynomials (see (Luo and Srivastava in ...and some other connected problems, which extend some known ...deduce some properties of ... See full document
13
Some identities for the product of two Bernoulli and Euler polynomials
... There are many ways of obtaining polynomial identities in general. Here, in Theo- rems 2-9, we use the Bernoulli basis in order to express certain polynomials as linear combinations of that basis and hence ... See full document
14
Degenerate Changhee Genocchi numbers and polynomials
... 8. Kim, T, Kim, DS: Degenerate Changhee numbers and polynomials of the second kind. arXiv:1707.09721 9. Kim, T, Kim, DS: A note on nonlinear Changhee differential equations. Russ. J. Math. Phys. 23(1), 88-92 (2016) ... See full document
10
Some identities on Bernoulli and Euler polynomials arising from orthogonality of Legendre polynomials
... Abstract The purpose of this paper is to investigate some interesting identities on the Bernoulli and Euler polynomials arising from the orthogonality of Legendre polynomials in the inne[r] ... See full document
8
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) and ... See full document
12
Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials
... Kim et al Advances in Difference Equations 2012, 2012 201 http //www advancesindifferenceequations com/content/2012/1/201 R ES EA RCH Open Access Some identities on Bernoulli and Euler polynomials ari[.] ... See full document
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... Genocchi polynomials and give some identities of these polynomials related to the Stirling numbers of the second ...kind. Some implicit summation formulae and gen- eral symmetry ... See full document
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