scholarly journals Eigenfunctions of Two-Scale Difference Equations and Appell Polynomials

2001 ◽  
Vol 20 (2) ◽  
pp. 457-488 ◽  
Author(s):  
Lothar Berg ◽  
Manfred Krüppel
Keyword(s):  
Difference Equations ◽  
Appell Polynomials ◽  
Scale Difference

scholarly journals Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials

Mathematics ◽  
2018 ◽  
Vol 6 (11) ◽  
pp. 258 ◽  
Author(s):  
Subuhi Khan ◽  
Tabinda Nahid
Keyword(s):  
Generating Function ◽  
Difference Equations ◽  
Recurrence Relations ◽  
Computer Experiment ◽  
Appell Polynomials ◽  
Distribution Of Zeros ◽  
Hybrid Form ◽  
Special Polynomials

The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition. Some significant properties of q-Hermite-Appell polynomials such as determinant definitions, q-recurrence relations and q-difference equations are established. Examples providing the corresponding results for certain members belonging to this q-Hermite-Appell family are considered. In addition, graphs of certain q-special polynomials are demonstrated using computer experiment. Thereafter, distribution of zeros of these q-special polynomials is displayed.

scholarly journals q-difference equations for the composite 2D q-Appell polynomials and their applications

2017 ◽  
Vol 4 (1) ◽  
pp. 1376972 ◽  
Author(s):  
Mumtaz Riyasat ◽  
Subuhi Khan ◽  
Tabinda Nahid
Keyword(s):  
Difference Equations ◽  
Appell Polynomials
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