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

• Srivastava, H. M. ^[1] ; Nisar, K. S. ^[3] ; Ahmad Khan, Mumtaz ^[2]
  1. [1] University of Victoria

     University of Victoria

     Canadá

     
  2. [2] Aligarh Muslim University

     Aligarh Muslim University

     India

     
  3. [3] Salman Bin Abdu-Aziz University.

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 33, Nº. 1, 2014, págs. 77-90
• Idioma: inglés
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• Resumen

  • 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 ofthe Chan-Chyan-Srivastava polynomials and also of their substantially more general form, the Erkus-Srivastava polynomials [9]. Some other closely-related results are also considered.