Finite sums and generalized forms of Bernoulli polynomials
We introduce new classes of Bernoulli polynomials, useful to evaluate partial sums of Hermite and Laguerre polynomials. We also comment on the possibility of extending the class of Bernoulli numbers itself, and indicate their importance in the derivation of partial sums involving generalized forms o...
Main Authors: | G. Dattoli, S. Lorenzutta, C. Cesarano |
---|---|
Format: | Article |
Language: | English |
Published: |
Sapienza Università Editrice
1999-01-01
|
Series: | Rendiconti di Matematica e delle Sue Applicazioni |
Subjects: | |
Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(3)/385-391.pdf |
Similar Items
-
A note on the monomiality principle and generalized polynomials
by: G. Dattoli, et al.
Published: (2001-01-01) -
Construction of partially degenerate Laguerre–Bernoulli polynomials of the first kind
by: Waseem A. Khan, et al.
Published: (2022-12-01) -
Connection Problem for Sums of Finite Products of Chebyshev Polynomials of the Third and Fourth Kinds
by: Dmitry Victorovich Dolgy, et al.
Published: (2018-11-01) -
A New Class of Higher-Order Hypergeometric Bernoulli Polynomials Associated with Lagrange–Hermite Polynomials
by: Ghulam Muhiuddin, et al.
Published: (2021-04-01) -
Expressions of Legendre polynomials through Bernoulli polynomials
by: Vu Kim Tuan, et al.
Published: (2011-01-01)