Operational rules and generalized special polynomials
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Mahvish Ali
Abstract
In this work, the generalized family of Hermite–Sheffer polynomials is introduced by using Euler’s integral and operational rules. Furthermore, some properties are established. In particular, generating function and determinant definition for the generalized Hermite–Sheffer polynomials are obtained. Some examples are also considered and their corresponding results are established.
Funding statement: This work has been sponsored by Dr. D. S. Kothari Post Doctoral Fellowship (Award letter No. F.4-2/2006(BSR)/MA/17-18/0025) by the University Grants Commission, Government of India, New Delhi.
Acknowledgements
The author is thankful to the Reviewer(s) for several useful comments and suggestions towards the improvement of this paper.
References
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Articles in the same Issue
- Frontmatter
- Operational rules and generalized special polynomials
- Linearity of some low-complexity mapping class groups
- Ultramatricial algebras over commutative chain semirings and application to MV-algebras
- On a group analogue of the Heyde theorem
- Explicit presentation of an Iwasawa algebra: The case of pro-p Iwahori subgroup of SLn(ℤp)
- Generalized Riesz potentials of functions in Morrey spaces L(1,ϕ;κ)(G) over non-doubling measure spaces
- On rough singular integrals along real-analytic submanifolds
- Dimension-free estimates for the vector-valued variational operators
- Upper bound of multiplicity in prime characteristic
- Asymptotic behaviour for elliptic operators with second-order discontinuous coefficients
- Irreducible and permutative representations of ultragraph Leavitt path algebras
- Twisted tensor products of φ-coordinated modules for nonlocal vertex algebras
- Explicit decomposition theorem for special Schubert varieties
- On the Hirzebruch–Kobayashi–Ono proportionality principle and the non-existence of compact solvable Clifford–Klein forms of certain homogeneous spaces
- The Lie group of vertical bisections of a regular Lie groupoid
- Chain conditions for graph C*-algebras
- Congruences in Hermitian Jacobi and Hermitian modular forms
- The Jensen–Pólya program for various L-functions
Articles in the same Issue
- Frontmatter
- Operational rules and generalized special polynomials
- Linearity of some low-complexity mapping class groups
- Ultramatricial algebras over commutative chain semirings and application to MV-algebras
- On a group analogue of the Heyde theorem
- Explicit presentation of an Iwasawa algebra: The case of pro-p Iwahori subgroup of SLn(ℤp)
- Generalized Riesz potentials of functions in Morrey spaces L(1,ϕ;κ)(G) over non-doubling measure spaces
- On rough singular integrals along real-analytic submanifolds
- Dimension-free estimates for the vector-valued variational operators
- Upper bound of multiplicity in prime characteristic
- Asymptotic behaviour for elliptic operators with second-order discontinuous coefficients
- Irreducible and permutative representations of ultragraph Leavitt path algebras
- Twisted tensor products of φ-coordinated modules for nonlocal vertex algebras
- Explicit decomposition theorem for special Schubert varieties
- On the Hirzebruch–Kobayashi–Ono proportionality principle and the non-existence of compact solvable Clifford–Klein forms of certain homogeneous spaces
- The Lie group of vertical bisections of a regular Lie groupoid
- Chain conditions for graph C*-algebras
- Congruences in Hermitian Jacobi and Hermitian modular forms
- The Jensen–Pólya program for various L-functions
