Some new results for the Lagrange polynomials in several variables

The main object of this paper is to present a systematic introduction to the theory and applications of the extended Appell-Lauricella hypergeometric functions defined by means of the extended beta function and extended Dirichlet's beta integral. Their connections with the Laguerre polynomials, the ordinary Lauricella functions and the Srivastava-Daoust generalized Lauricella functions are established for some specific paramters. Furthermore, by applying the various methods and known formulas (such as fractional integral technique; some results of the Lagrange polynomials), we also derive some elegant generating functions for these new functions.

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“…, which are popularly known as the Chan-Chyan-Srivastava polynomials, are generated by (see [3]; see also [5] and [19])…”

Section: Generating Functions Formentioning

confidence: 99%

On the extended Appell-Lauricella hypergeometric functions and their applications

Agarwal

Luo

2017

Filomat

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“…For example, the bilateral generating functions for these polynomials and miscellaneous properties are given in Liu et al [12,18]. In [8], the orthogonality properties and various integral representations for these polynomials are given (see also [1,2,[5][6][7]). Furthermore, these polynomials are used in approximation theory.…”

Section: R-parameter R-variable Srivastava Polynomialsmentioning

confidence: 99%

Certain families of multivariable Chan-Chyan-Srivastava polynomials

Özarslan¹,

Srivastava²,

Kaanoğlu³

2017

MMN

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Abstract. In this paper we introduce r parameter Srivastava polynomials in r variable by inserting new indices. These polynomials include the Lagrange polynomials in several variables, which are also known as Chan-Chyan-Srivastava polynomials (W.-C.C. Chan, C.-J. Chyan and H.M. Srivastava, The Lagrange polynomials in several variables, Integral Transforms and Special Functions, 12 (2001) 139-148). We prove several two sided linear generating relations between r variable and .r 1/ variable Chan-Chyan-Srivastava polynomials. Some special cases of the main results are also presented.2010 Mathematics Subject Classification: 33C45

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“…These polynomials have been extensively investigated first by the work of Chan et al [2] and subsequently by the works of [3,6,7].…”

Section: Introductionmentioning

confidence: 99%

Some bilateral generating functions involving the Erkus-Srivastava polynomials and some general classes of multivariable polynomials

Gaboury¹,

Tremblay²,

Özarslan³

2014

Tamkang J. Math.

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Some new results for the Lagrange polynomials in several variables

Cited by 23 publications

References 5 publications

On the extended Appell-Lauricella hypergeometric functions and their applications

On the extended Appell-Lauricella hypergeometric functions and their applications

Certain families of multivariable Chan-Chyan-Srivastava polynomials

Some bilateral generating functions involving the Erkus-Srivastava polynomials and some general classes of multivariable polynomials

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