Certain results associated with hybrid relatives of the q-Sheffer sequences
Copyright policy )Certain results associated with hybrid relatives of the q-Sheffer sequences
The intended objective of this paper is to introduce a new class of the hybrid q-Sheffer polynomials by means of the generating function and series definition. The determinant definition and other striking properties of these polynomials are established. Certain results for the continuous q-Hermite-Appell polynomials are obtained. The graphical depictions are performed for certain members of the hybrid q-Sheffer family. The zeros of these members are also explored using numerical simulations. Finally, the orthogonality condition for the hybrid q-Sheffer polynomials is established.
Difference polynomials, Artificial intelligence, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Class (philosophy), Orthogonal polynomials, Arithmetic of Multiple Zeta Values and Related Functions, Geometry, Combinatorial Mathematics and Algebraic Combinatorics, Matrix Valued Polynomials, Orthogonal Polynomials, Discrete orthogonal polynomials, FOS: Mathematics, Discrete Mathematics and Combinatorics, Orthogonality, Wilson polynomials, Generating function, Hermite polynomials, Algebra over a field, Algebra and Number Theory, \(q\)-Sheffer polynomials, Applied Mathematics, Classical orthogonal polynomials, Pure mathematics, Computer science, \(q\)-Appell polynomials, hybrid \(q\)-Sheffer polynomials, Combinatorics, Special sequences and polynomials, Physical Sciences, Bernoulli and Euler numbers and polynomials, Mathematics
Difference polynomials, Artificial intelligence, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Class (philosophy), Orthogonal polynomials, Arithmetic of Multiple Zeta Values and Related Functions, Geometry, Combinatorial Mathematics and Algebraic Combinatorics, Matrix Valued Polynomials, Orthogonal Polynomials, Discrete orthogonal polynomials, FOS: Mathematics, Discrete Mathematics and Combinatorics, Orthogonality, Wilson polynomials, Generating function, Hermite polynomials, Algebra over a field, Algebra and Number Theory, \(q\)-Sheffer polynomials, Applied Mathematics, Classical orthogonal polynomials, Pure mathematics, Computer science, \(q\)-Appell polynomials, hybrid \(q\)-Sheffer polynomials, Combinatorics, Special sequences and polynomials, Physical Sciences, Bernoulli and Euler numbers and polynomials, Mathematics
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