Generalized associated polynomials and their application in numerical differentiation and quadrature
β Scribed by M.-R. Skrzipek
- Publisher
- Springer Milan
- Year
- 2003
- Tongue
- English
- Weight
- 188 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0008-0624
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We introduce new families of Gaussian-type quadratures for weighted integrals of exponential functions and consider their applications to integration and interpolation of bandlimited functions. We use a generalization of a representation theorem due to CarathΓ©odory to derive these quadratures. For
## Abstract The generalized differential quadrature rule (GDQR) proposed recently by the authors is applied here to thirdβorder nonβlinear differential equations of the Blasius type and to sixthβorder linear Onsager differential equations. High (β©Ύ3rd)βorder differential equations in fluid mechanics
We prove a general symmetric identity involving the degenerate Bernoulli polynomials and sums of generalized falling factorials, which unifies several known identities for Bernoulli and degenerate Bernoulli numbers and polynomials. We use this identity to describe some combinatorial relations betwee