Bilateral generating functions for the Lagrange polynomials and the Lauricella functions

Liu, Shuoh-Jung

doi:10.1080/10652460802568291

Cited by 13 publications

(9 citation statements)

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“…with similar interpretations for other sets of parameters (see [4], [10], [14], [20]). Here, as usual,  ) ( denotes the Pochhammer symbol and Lauricella functions theory and its applications (see [17], [18], [20]).…”

Section: Introductionsupporting

confidence: 52%

Meixner Polinomlarının Bazı Yeni Özellikleri

Özmen¹

2017

SAÜ Fen Bilimleri Enstitüsü Dergisi

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The present study deals with some new properties for the Meixner polynomials. In this manuscript we obtain a number of families of bilinear and bilateral generating functions, general properties and also some special cases for these polynomials. In addition, we derive a theorem giving certain families of bilateral generating functions for the generalized Lauricella functions and the Meixner polynomials. Finally, we get several interesting results of this theorem.

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Section: Introductionsupporting

confidence: 52%

Meixner Polinomlarının Bazı Yeni Özellikleri

Özmen¹

2017

SAÜ Fen Bilimleri Enstitüsü Dergisi

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“…For a three-variable analogue of the polynomials S m,N n (x, y) defined by (3), we refer the interested reader to a recent investigation by Srivastava et al [12] (see also [13,14]). …”

Section: Introduction and Definitionsmentioning

confidence: 98%

Multiple integral representations for some families of hypergeometric and other polynomials

Liu

Chyan

et al. 2011

Mathematical and Computer Modelling

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a b s t r a c tThe main objective of this paper is to investigate several general families of hypergeometric and other polynomials and their associated multiple integral representations. Each of the integral representations, which are derived in this paper, may be viewed also as a linearization relationship for the product of two different members of the associated family of hypergeometric and other polynomials.

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“…, r) give similar equalities for the Lagrange-Hermite and Chan-Chyan-Srivastava multivariable polynomials, respectively. We should remark that the result in (ii) reduces to a known relation in [10] for the Chan-Chyan-Srivastava multivariable polynomials g…”

Section: R This Proves the Equality (22)mentioning

confidence: 99%

Some new results for the multivariable Humbert polynomials

Aktaş

2014

Mathematica Slovaca

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ABSTRACT. In this paper, we present some miscellaneous properties of the multivariable Humbert polynomials whose special cases include some well-known multivariable polynomials such as Chan-Chyan-Srivastava, Lagrange-Hermite and Erkus-Srivastava multivariable polynomials. We give recurrence relations, addition formula and integral representation for them. Then, we obtain some partial differential equations for the products of the multivariable Humbert polynomials and some other multivariable polynomials. Furthermore, some special cases of the results presented in this study are also indicated.

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Bilateral generating functions for the Lagrange polynomials and the Lauricella functions

Cited by 13 publications

References 5 publications

Meixner Polinomlarının Bazı Yeni Özellikleri

Meixner Polinomlarının Bazı Yeni Özellikleri

Multiple integral representations for some families of hypergeometric and other polynomials

Some new results for the multivariable Humbert polynomials

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