A Determinantal Approach to Post Quantum Analogue of Appell Type Polynomials

In this paper, we have studied post-quantum analogue of Appell type polynomials (( p ,  q )-Appell polynomials) from determinantal aspect using the definition of post-quantum analogue of Appell type polynomials from Sadjang (Anal Math 45:583, 2019). Some basic properties for post-quantum analogue of...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2022-02, Vol.8 (1), Article 15
Main Authors: Obad, Alaa Mohammed, Khan, Asif, Mursaleen, M., Yasmin, Ghazala
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Polynomials
Theoretical
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Summary:In this paper, we have studied post-quantum analogue of Appell type polynomials (( p ,  q )-Appell polynomials) from determinantal aspect using the definition of post-quantum analogue of Appell type polynomials from Sadjang (Anal Math 45:583, 2019). Some basic properties for post-quantum analogue of Appell polynomials have been established. Further 2D post-quantum Appell polynomials has been defined and studied from determinantal aspect and some interesting properties of these polynomials using new definition has been presented. In case p = 1 , post-quantum analogue of Appell type polynomials reduces to quantum analogue of Appell type polynomials. For p = q = 1 , post-quantum analogue of Appell type polynomials reduces to its classical version.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-021-01208-x