Bilateral generating functions for the Chan–Chyan–Srivastava polynomials and the generalized Lauricella functions

Liu, Shuoh-Jung; Chyan, Chuan Jen; Lu, Han-Chun; Srivástava, H. M.

doi:10.1080/10652469.2011.610152

Cited by 12 publications

(13 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: Introductionmentioning

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: Introductionmentioning

confidence: 52%

Meixner Polinomlarının Bazı Yeni Özellikleri

Özmen¹

2017

SAÜ Fen Bilimleri Enstitüsü Dergisi

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“…, which are popularly known in the literature as the Chan-Chyan-Srivastava polynomials, are generated by (see, for details, [3]; see also [4], [12] and [13])…”

Section: Introduction Definitions and Notationsmentioning

confidence: 99%

Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials

Srivástava

Nisar²,

Khan

2014

Proyecciones (Antofagasta)

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In their recent investigation involving differential operators for the generalized Lagrange polynomials, Chan et. al. [3] encountered and proved a certain summation identity and several other results for the Lagrange polynomials in several variables, which are popularly known in the literature as the Chan-Chyan-Srivastava polynomials. These multivariable polynomials have been studied systematically and extensively in the literature ever since then (see, for example, [1], [4], [9], [11], [12] and [13]). In the present paper, we investigate umbral calculus presentations of the Chan-Chyan-Srivastava polynomials and also of their substantially more general form, the Erkuş-Srivastava polynomials [9]. Some other closely-related results are also considered.

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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]).…”

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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Bilateral generating functions for the Chan–Chyan–Srivastava polynomials and the generalized Lauricella functions

Cited by 12 publications

References 10 publications

Meixner Polinomlarının Bazı Yeni Özellikleri

Meixner Polinomlarının Bazı Yeni Özellikleri

Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials

Certain families of multivariable Chan-Chyan-Srivastava polynomials

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Bilateral generating functions for the Chan–Chyan–Srivastava polynomials and the generalized Lauricella functions

Cited by 12 publications

References 10 publications

Meixner Polinomlarının Bazı Yeni Özellikleri

Meixner Polinomlarının Bazı Yeni Özellikleri

Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erku&#537;-Srivastava Polynomials

Certain families of multivariable Chan-Chyan-Srivastava polynomials

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Product

Resources

About

Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials