Umbral treatment and lacunary generating function for Hermite polynomials
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Nusrat Raza
Abstract
In this paper, we discuss umbral nature of 2-variable Hermite polynomials and obtain triple lacunary generating function for this polynomial by using the umbral method. Further, the lacunary generating function for 3-variable Hermite polynomials are also obtained.
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On left and right Browder elements in Banach algebra relative to a bounded homomorphism
- Uniform excess of g-frames
- On normal partial isometries
- Gauss--Newton--Kurchatov method for the solution of non-linear least-square problems using ω-condition
- Maps preserving the bi-skew Jordan product on factor von Neumann algebras
- Boundary contact problems with regard to friction of couple-stress viscoelasticity for inhomogeneous anisotropic bodies (quasi-static cases)
- On uniform statistical convergence
- Approximate solution of the optimal control problem for non-linear differential inclusion on the semi-axes
- Energy-based localization of positive solutions for stationary Kirchhoff-type equations and systems
- e-reversibility of rings via quasinilpotents
- Weighted generalized Moore–Penrose inverse
- On two extensions of the annihilating-ideal graph of commutative rings
- Umbral treatment and lacunary generating function for Hermite polynomials
- A generalization of the canonical commutation relation and Heisenberg uncertainty principle for the orbital operators
Artikel in diesem Heft
- Frontmatter
- On left and right Browder elements in Banach algebra relative to a bounded homomorphism
- Uniform excess of g-frames
- On normal partial isometries
- Gauss--Newton--Kurchatov method for the solution of non-linear least-square problems using ω-condition
- Maps preserving the bi-skew Jordan product on factor von Neumann algebras
- Boundary contact problems with regard to friction of couple-stress viscoelasticity for inhomogeneous anisotropic bodies (quasi-static cases)
- On uniform statistical convergence
- Approximate solution of the optimal control problem for non-linear differential inclusion on the semi-axes
- Energy-based localization of positive solutions for stationary Kirchhoff-type equations and systems
- e-reversibility of rings via quasinilpotents
- Weighted generalized Moore–Penrose inverse
- On two extensions of the annihilating-ideal graph of commutative rings
- Umbral treatment and lacunary generating function for Hermite polynomials
- A generalization of the canonical commutation relation and Heisenberg uncertainty principle for the orbital operators
