scholarly journals Lacunary Generating Functions of Hybrid Type Polynomials in View Point of Symbolic Approach

2022 ◽  
Vol 129 (1) ◽  
pp. 1-19
Author(s):  
Nusrat Raza ◽  
Umme Zainab ◽  
Serkan Araci
Keyword(s):  
Generating Functions ◽  
View Point ◽  
Hybrid Type ◽  
Symbolic Approach

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 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 Construction of a new family of Fubini-type polynomials and its applications

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
H. M. Srivastava ◽  
Rekha Srivastava ◽  
Abdulghani Muhyi ◽  
Ghazala Yasmin ◽  
Hibah Islahi ◽  
...  
Keyword(s):  
Generating Functions ◽  
Graphical Representation ◽  
Special Functions ◽  
Approximate Solutions ◽  
View Point ◽  
New Class ◽  
New Family ◽  
General Class Of Polynomials ◽  
Operational Technique ◽  
Derivative Formulas

AbstractThis paper gives an overview of systematic and analytic approach of operational technique involves to study multi-variable special functions significant in both mathematical and applied framework and to introduce new families of special polynomials. Motivation of this paper is to construct a new class of generalized Fubini-type polynomials of the parametric kind via operational view point. The generating functions, differential equations, and other properties for these polynomials are established within the context of the monomiality principle. Using the generating functions, various interesting identities and relations related to the generalized Fubini-type polynomials are derived. Further, we obtain certain partial derivative formulas including the generalized Fubini-type polynomials. In addition, certain members belonging to the aforementioned general class of polynomials are considered. The numerical results to calculate the zeros and approximate solutions of these polynomials are given and their graphical representation are shown.

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