scholarly journals Some generating functions of modifed Bessel polynomials from the view point of Lie group

1986 ◽  
Vol 9 (3) ◽  
pp. 623-623
Author(s):  
Asit Kumar Chongdar
Keyword(s):  
Lie Group ◽  
Generating Functions ◽  
View Point ◽  
Bessel Polynomials

scholarly journals Some generating functions of modified Bessel polynomials from the view point of Lie group

1984 ◽  
Vol 7 (4) ◽  
pp. 823-825 ◽  
Author(s):  
Asit Kumar Chongdar
Keyword(s):  
Lie Group ◽  
Generating Functions ◽  
View Point ◽  
Bessel Polynomials

In this paper we have derived a class of bilateral generating relation for modified Bessel polynomials from the view point of Lie group. An application of our theorem is also pointed out.

scholarly journals On the p,q-Humbert Functions from the View Point of the Generating Function Method

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Ayman Shehata
Keyword(s):  
Generating Function ◽  
Generating Functions ◽  
Function Method ◽  
Recurrence Relations ◽  
View Point ◽  
Starting Point ◽  
Explicit Representations

The main object of the present paper is to construct new p,q-analogy definitions of various families of p,q-Humbert functions using the generating function method as a starting point. This study shows a class of several results of p,q-Humbert functions with the help of the generating functions such as explicit representations and recurrence relations, especially differential recurrence relations, and prove some of their significant properties of these functions.

scholarly journals Generating Functions for Bessel Functions

1959 ◽  
Vol 11 ◽  
pp. 148-155 ◽  
Author(s):  
Louis Weisner
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Generating Function ◽  
Lie Group ◽  
Generating Functions ◽  
Bessel Functions ◽  
Partial Differential ◽  
Systematic Determination ◽  
Image Position

On replacing the parameter n in Bessel's differential equation1.1by the operator y(∂/∂y), the partial differential equation Lu = 0 is constructed, where1.2This operator annuls u(x, y) = v(x)yn if, and only if, v(x) satisfies (1.1) and hence is a cylindrical function of order n. Thus every generating function of a set of cylindrical functions is a solution of Lu = 0.It is shown in § 2 that the partial differential equation Lu = 0 is invariant under a three-parameter Lie group. This group is then applied to the systematic determination of generating functions for Bessel functions, following the methods employed in two previous papers (4; 5).

Some Generating Functions for the Generalized Bessel Polynomials

1992 ◽  
Vol 87 (4) ◽  
pp. 351-366 ◽  
Author(s):  
Ming-Po Chen ◽  
Chia-Chin Feng ◽  
H. M. Srivastava
Keyword(s):  
Generating Functions ◽  
Bessel Polynomials
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