bilateral generating functions
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2018 ◽  
Vol 33 (2) ◽  
pp. 279
Author(s):  
Nejla Özmen

The present study deals with some new properties for the Modified generalized Sylvester polynomials. The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous properties and also some special cases for these polynomials. In addition, we derive a theorem giving certain families of bilateral generating functions for the modified generalized Sylvester polynomials and the generalized Lauricella functions. Finally, we get several interesting results of this theorem.


2018 ◽  
Vol 68 (3) ◽  
pp. 607-616
Author(s):  
Rabia Aktaş ◽  
Abdullah Altin ◽  
Fatma Taşdelen

Abstract In this article, a class of analytic functions is investigated and their some properties are established. Several recurrence relations and various classes of bilinear and bilateral generating functions for these analytic functions are also derived. Examples of some members belonging to this family of analytic functions are given and differential equations satisfied by these functions are also obtained.


2017 ◽  
Vol 10 (12) ◽  
pp. 1-5
Author(s):  
P. L. Rama Kameswari ◽  
P. L. Rama Kameswari ◽  
V. S. Bhagavan ◽  
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2014 ◽  
Vol 45 (4) ◽  
pp. 341-356 ◽  
Author(s):  
Sébastien Gaboury ◽  
Richard Tremblay ◽  
Mehmet Ali Özarslan

Recently, Liu et al. [Bilateral generating functions for the Erkucs-Srivastava polynomials and the generalized Lauricella function, Appl.Math.Comput.218 (2012),pp.7685-7693 investigated some various families of bilateral generating functions involving the Erkucs Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Erkucs-Srivastava polynomials and three general classes of multivariable polynomials introduced earlier by Srivastava in A contour integral involving Fox's H-function, Indian J.Math.14 (1972), pp.1-6, A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J.Math.117 (1985), pp.183-191] and by Kaanouglu and Ozarslan in Two-sided generating functions for certain class of r-variable polynomials, Mathematical and Computer Modelling 54 (2011), pp.625-631. Special cases involving the (Srivastava-Daoust) generalized Lauricella functions are also given.


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