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[PDF] Top 20 On Some Mixed Trilateral Generating Functions of Modified Jacobi Polynomials by Group Theoretic Method

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On Some Mixed Trilateral Generating Functions of Modified Jacobi Polynomials by Group Theoretic Method

On Some Mixed Trilateral Generating Functions of Modified Jacobi Polynomials by Group Theoretic Method

... corresponding mixed trilateral generating relation can at once be written down from ...of mixed trilateral generating relations from ... See full document

9

Some Generating Functions of Modified Gegenbauer Polynomials by Lie Algebraic Method

Some Generating Functions of Modified Gegenbauer Polynomials by Lie Algebraic Method

... Several generating functions for Gegenbauer polynomials have been derived by different method namely classical, theory of Lie groups ...in group theoretic method as intro- ... See full document

7

Certain generating matrix functions of Charlier matrix polynomials using Weisner’s group theoretic method

Certain generating matrix functions of Charlier matrix polynomials using Weisner’s group theoretic method

... Charlier polynomials. The introduction of special functions is used as an analytical foundation for the majority of problems in mathematical physics it has been solved exactly and finds broad practical ... See full document

13

Generating function for q-Eulerian polynomials and their decomposition and applications

Generating function for q-Eulerian polynomials and their decomposition and applications

... Eulerian polynomials and numbers (Frobenius-Euler polyno- mials and numbers) has become a very important part of analytic number theory and other sciences, for example, engineering, computer, geometric design and ... See full document

14

An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method

Mohammed G. S. AL-Safi

An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method Mohammed G. S. AL-Safi

... The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi ... See full document

8

Some Expansions for the Multivariable Gimel-Function in Series Involving Jacobi Polynomials

Some Expansions for the Multivariable Gimel-Function in Series Involving Jacobi Polynomials

... special functions o several variables such as multivariable I- function ,multivariable Fox's H-function, Fox's H-function , Meijer's G-function, Wright's generalized Bessel function, Wright's generalized ... See full document

9

On a Paper in Connection with the Derivation of Generating Functions Involving Laguerre Polynomials

On a Paper in Connection with the Derivation of Generating Functions Involving Laguerre Polynomials

... In conclusion, it is obvious that not only the theorems stated in the paper 1,2 but also their extensions can be easily derived by using the operator in the paper 4 , which is in the paper 1 . Furthermore, by using the ... See full document

10

Sumudu Transformation or What Else Can Laplace Transformation Do

Sumudu Transformation or What Else Can Laplace Transformation Do

... Special functions with a special function symbol and, clearly, problems of their convergence also do not ...of generating functions can make ...basic Generating func- tion for Hermite ... See full document

32

On the denseness of Jacobi polynomials

On the denseness of Jacobi polynomials

... of functions in terms of polynomials which indicate its denseness is an important part of analysis with many notable contributions, such as Riesz [14], Pollard [11, 12, 13], Newman and Rudin [10], Askey [1, ... See full document

8

Generating relations involving 2-variable Hermite matrix polynomials

Generating relations involving 2-variable Hermite matrix polynomials

... special functions is special matrix ...matrix polynomials is important due to their applications in certain areas of statistics, physics and ...matrix polynomials are introduced by J ´ odar and ... See full document

7

Complex and distributional weights for sieved ultraspherical polynomials

Complex and distributional weights for sieved ultraspherical polynomials

... Ultraspherical and sieved ultraspherical polynomials, Jacobi polynomials, Chebyshev polynomials, recurrence relations, continued fractions, orthogonality measures, distributions, contour[r] ... See full document

14

Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials

Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials

... of generating functions are presented in the monographs [2] ...basic generating function for simple Laguerre 2D and Hermite 2D polynomials was solved in [9]-[12] ...of generating ... See full document

27

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

... The rest of this paper is organized as follows. In Section 2, the method of solution is developed. In Section 3, we report our numerical findings and demonstrate the accuracy of the proposed scheme by considering ... See full document

12

ON GENERALIZATION OF WEIERSTRASS APPROXIMATION THEOREM FOR A GENERAL CLASS OF POLYNOMIALS AND GENERATING FUNCTIONS

ON GENERALIZATION OF WEIERSTRASS APPROXIMATION THEOREM FOR A GENERAL CLASS OF POLYNOMIALS AND GENERATING FUNCTIONS

... Special Functions and Their Applications in Different ...Special functions, Application of Special functions in Boundary value problems, Fractional Calculus and Generating functions via ... See full document

7

New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials

New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials

... of Jacobi polynomials of certain parameters are given, while in the second, and based on a certain Whipple transformation, two new re- duction formulas for certain hypergeometric functions of the ... See full document

13

Generalized  Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities

Generalized Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities

... new generating functions which are related to q-Euler numbers and polynomials of higher order attached to ...q-Euler polynomials attached to χ, and have some identities involving these ... See full document

6

Some identities of Genocchi polynomials arising from Genocchi basis

Some identities of Genocchi polynomials arising from Genocchi basis

... Simsek, Y: Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions.. Simsek, Y: Theorems on twisted L-function and twisted Ber[r] ... See full document

6

Search | Preprints

Search | Preprints

... consider generating functions for Laguerre-based Hermite-Fubini numbers and polynomials and give some properties of these numbers and ... See full document

12

Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions

Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions

... The linearization coefficients of the Jacobi polynomials are usually given in forms involv- ing terminating hypergeometric functions. The Ph.D. dissertation of Tcheutia [] exhibits a detailed study ... See full document

13

On Humbert Matrix Polynomials of Two Variables

On Humbert Matrix Polynomials of Two Variables

... matrix functions appear in statistics, lie group theory and number theory [1-4] and the matrix polyno- mials have become more important and some results in the theory of classical orthogonal ... See full document

5

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