An Extension of Bilateral Generating Functions of the Biorthogonal Polynomials Suggestedby Laguerre Polynomials
نویسنده
چکیده
In this note, we have obtained a novel extension of a bilateral generating relationsinvolvingbiorthogonal polynomials ; from the existence of quasi-bilinear generating relation by group theoretic method. As particular cases, we obtain the corresponding results on generalised Laguerre polynomials.
منابع مشابه
On Bilateral Generating Functions of Konhauser Biorthogonal Polynomials
In this article, we have obtained some novel results on bilateral generating functions of the polynomials, YYnn+rr αα−nnnn(xx;kk), a modified form of Konhauser biorthogonal polynomials, YYnn(xx; kk) by group-theoretic method. As special cases, we obtain the corresponding results on Laguerre polynomials, LLnn αα(xx). Some applications of our results are also discussed.
متن کاملSome Bilateral Generating Functions Involving the Chan-chyan-srivastava Polynomials and Some General Classes of Multivariable Polynomials
Abstract. Recently, Liu et al. [Bilateral generating functions for the Chan-Chyan-Srivastava polynomials and the generalized Lauricella function, Integral Transform Spec. Funct. 23 (2012), no. 7, 539–549] investigated, in several interesting papers, some various families of bilateral generating functions involving the Chan-Chyan-Srivastava polynomials. The aim of this present paper is to obtain...
متن کاملBilinear and Bilateral Generating Functions for the Gauss’ Hypergeometric Polynomials
The object of the present paper is to investigate several general families of bilinear and bilateral generating functions with different argument for the Gauss’ hypergeometric polynomials. Mathematics Subject Classification(2010): Primary 42C05, Secondary 33C45. Keywords—Appell’s functions, Gauss hypergeometric functions, Heat polynomials, Kampe’ de Fe’riet function, Laguerre polynomials, Lauri...
متن کاملOn composition of generating functions
In this work we study numbers and polynomials generated by two type of composition of generating functions and get their explicit formulae. Furthermore we state an improvementof the composita formulae's given in [6] and [3], using the new composita formula's we construct a variety of combinatorics identities. This study go alone to dene new family of generalized Bernoulli polynomials which incl...
متن کاملTutte polynomials of wheels via generating functions
We find an explicit expression of the Tutte polynomial of an $n$-fan. We also find a formula of the Tutte polynomial of an $n$-wheel in terms of the Tutte polynomial of $n$-fans. Finally, we give an alternative expression of the Tutte polynomial of an $n$-wheel and then prove the explicit formula for the Tutte polynomial of an $n$-wheel.
متن کامل