AbstractBilateral generating functions are those involving products of different types of polynomials. We show that operational methods offer a powerful tool to derive these families of generating functions. We study cases relevant to products of Hermite polynomials with Laguerre, Legendre and other polynomials. We also propose further extensions of the method which we develop here
AbstractFor a certain class of generalized hypergeometric polynomials, the authors first derive a ge...
Abstract. The authors apply a certain novel technique based on the com-bined use of operational meth...
In this note, we have obtained some results on bilateral and trilateral generat-ing functions of mod...
AbstractOperational identities, often exploited in the theory of exponential operators, are used to ...
AbstractThe object of this paper is to present a systematic introduction to and several interesting ...
AbstractThis paper presents a systematic introduction to and several applications of a certain metho...
[[abstract]]We show that the use of operational methods and of multi-index Bessel functions allow th...
We show that the use of operational methods and of multi-index Bessel functions allow the derivation...
Abstract. A group-theoretic method of obtaining more general class of generating functions from a gi...
In the paper, we define Laguerre-based Hermite-Bernoulli polynomial with its generating function, an...
AbstractThe authors derive a unification and generalization of several families of linear, bilinear,...
[[abstract]]For a certain class of generalized hypergeometric polynomials, the authors first derive ...
In this paper an extension of the bilateral generating function involving Jacobi polynomial derived ...
In this paper, we obtain some new results on bilateral generating functions of the modified Laguerre...
Recently Chatterjea (1) has proved a theorem to deduce a bilateral generating function for the Ultra...
AbstractFor a certain class of generalized hypergeometric polynomials, the authors first derive a ge...
Abstract. The authors apply a certain novel technique based on the com-bined use of operational meth...
In this note, we have obtained some results on bilateral and trilateral generat-ing functions of mod...
AbstractOperational identities, often exploited in the theory of exponential operators, are used to ...
AbstractThe object of this paper is to present a systematic introduction to and several interesting ...
AbstractThis paper presents a systematic introduction to and several applications of a certain metho...
[[abstract]]We show that the use of operational methods and of multi-index Bessel functions allow th...
We show that the use of operational methods and of multi-index Bessel functions allow the derivation...
Abstract. A group-theoretic method of obtaining more general class of generating functions from a gi...
In the paper, we define Laguerre-based Hermite-Bernoulli polynomial with its generating function, an...
AbstractThe authors derive a unification and generalization of several families of linear, bilinear,...
[[abstract]]For a certain class of generalized hypergeometric polynomials, the authors first derive ...
In this paper an extension of the bilateral generating function involving Jacobi polynomial derived ...
In this paper, we obtain some new results on bilateral generating functions of the modified Laguerre...
Recently Chatterjea (1) has proved a theorem to deduce a bilateral generating function for the Ultra...
AbstractFor a certain class of generalized hypergeometric polynomials, the authors first derive a ge...
Abstract. The authors apply a certain novel technique based on the com-bined use of operational meth...
In this note, we have obtained some results on bilateral and trilateral generat-ing functions of mod...
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