Some further results on Legendre numbers

The Legendre numbers, Pnm, are expressed in terms of those numbers, Pkm−1, in the previous column down to Pnm and in terms of those, Pkm, above but in the same column. Other results are given for numbers close to a given number. The limit of the quotient of two consecutive non-zero numbers in any on...

Full description

Bibliographic Details
Published in:	International Journal of Mathematics and Mathematical Sciences
Main Author:	Paul W. Haggard
Format:	Article
Language:	English
Published:	Wiley 1988-01-01
Subjects:	associated Legendre functions bounds for the Legendre numbers Legendre numbers Legendre polynomials limits of ratios of Legendre numbers.
Online Access:	http://dx.doi.org/10.1155/S0161171288000754

Similar Items

Some applications of Legendre numbers
by: Paul W. Haggard
Published: (1988-01-01)

On Legendre numbers
by: Paul W. Haggard
Published: (1985-01-01)

On Legendre numbers of the second kind
by: Paul W. Haggard
Published: (1988-01-01)

Note on Legendre numbers
by: R. Sitaramachandrarao, et al.
Published: (1988-01-01)

On the estimation of functions belonging to Lipschitz class by block pulse functions and hybrid Legendre polynomials
by: S. Lal, et al.
Published: (2020-06-01)

On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach
by: Mumtaz Riyasat, et al.
Published: (2024-08-01)

Legendre Wavelets based approximation method for solving advection problems
by: S.G. Venkatesh, et al.
Published: (2013-12-01)

Legendre approximation solution for a class of higher-order Volterra integro-differential equations
by: S.G. Venkatesh, et al.
Published: (2012-12-01)

On the Fractional Order Rodrigues Formula for the Shifted Legendre-Type Matrix Polynomials
by: Mohra Zayed, et al.
Published: (2020-01-01)

Novel Results on Legendre Polynomials in the Sense of a Generalized Fractional Derivative
by: Francisco Martínez, et al.
Published: (2024-07-01)

Spectral solutions for fractional Klein–Gordon models of distributed order
by: M.A. Abdelkawy, et al.
Published: (2024-07-01)

A Family of Generalized Legendre-Based Apostol-Type Polynomials
by: Talha Usman, et al.
Published: (2022-01-01)

A Highly Approximate Pseudo-Spectral Method for the Solution of Convection-Diffusion Equations
by: Rabha El-ashwah, et al.
Published: (2020-08-01)

A family of definite integrals involving Legendre’s polynomials
by: M.I. Qureshi, et al.
Published: (2023-06-01)

Some new discrete Hilbert’s inequalities involving Fenchel–Legendre transform
by: A. Hamiaz, et al.
Published: (2020-02-01)

High-Accuracy Spectral-like Legendre–Darboux Method for Initial Value Problems
by: Mohammad W. Alomari
Published: (2025-10-01)

Deterministic and Stochastic Analysis of Fractional-Order Legendre Filter with Uncertain Parameters
by: Mohammed A. Hassan, et al.
Published: (2024-10-01)

Improved Modeling and Generalization Capabilities of Graph Neural Networks With Legendre Polynomials
by: Jiali Chen, et al.
Published: (2023-01-01)

Symmetric and Asymmetric Double Series via Expansions over Legendre Polynomials
by: Mei Bai, et al.
Published: (2025-04-01)

Some Dynamical Models Involving Fractional-Order Derivatives with the Mittag-Leffler Type Kernels and Their Applications Based upon the Legendre Spectral Collocation Method
by: Hari M. Srivastava, et al.
Published: (2021-09-01)

Some integrals involving squares of Bessel functions and generalized Legendre polynomials
by: E. Matagne
Published: (2022-12-01)

An accurate solution of the Poisson equation by the Legendre Tau method
by: Muhammad I. Syam
Published: (1997-01-01)

The continous Legendre transform, its inverse transform, and applications
by: P. L. Butzer, et al.
Published: (1980-01-01)

Estimation of interpolation projectors using Legendre polynomials
by: Mikhail V. Nevskii
Published: (2024-09-01)

Numerical solution of nonlinear partial differential equations using shifted Legendre collocation method
by: Passant K. Abbassi, et al.
Published: (2024-10-01)

Approximation Properties of Chebyshev Polynomials in the Legendre Norm
by: Cuixia Niu, et al.
Published: (2021-12-01)

Near-Legendre Differential Equations
by: Adel A. Abdelkarim
Published: (2019-01-01)

On an Inequality for Legendre Polynomials
by: Florin Sofonea, et al.
Published: (2020-11-01)

Lactation curve modelling using Legendre Polynomial in Sahiwal cattle
by: VED PRAKASH, et al.
Published: (2016-04-01)

A note on dual integral equations involving associated Legendre function
by: B. N. Mandal
Published: (1992-01-01)

Insights into New Generalization of <i>q</i>-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality
by: Naeem Ahmad, et al.
Published: (2025-03-01)

Hodographic study of plane micropolar fluid flows
by: Indrasena Adluri
Published: (1995-01-01)

Computational investigation of stochastic Zika virus optimal control model using Legendre spectral method
by: Junjie Zhu, et al.
Published: (2024-08-01)

Legendre Ritz-Least squares method for the numerical solution of delay differential equations of the multi-pantograph type
by: Meisam Noei Khorshidi, et al.
Published: (2024-03-01)

Existence, uniqueness, and galerkin shifted Legendre's approximation of time delays integrodifferential models by adapting the Hilfer fractional attitude
by: Hind Sweis, et al.
Published: (2024-02-01)

Legendre-Gauss-Lobatto collocation method for solving multi-dimensional systems of mixed Volterra-Fredholm integral equations
by: A. Z. Amin, et al.
Published: (2023-06-01)

Realizing the Calculation of a Fully Normalized Associated Legendre Function Based on an FPGA
by: Yuxiang Fang, et al.
Published: (2024-11-01)

Genetic evaluation of sperm abnormality traits in Holstein Friesian crossbred bulls using random regression models
by: VRINDA B AMBIKE, et al.
Published: (2023-08-01)

A New Method for Dynamical System Identification by Optimizing the Control Parameters of Legendre Multiwavelet Neural Network
by: Xiaoyang Zheng, et al.
Published: (2023-12-01)

Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves
by: Çetin Camcı, et al.
Published: (2023-03-01)