Gram Polynomials and the Kummer Function
Copyright policy )Gram Polynomials and the Kummer Function
In this interesting paper, the authors investigate the Gram polynomials and deduce a sharp inequality for the Kummer function. Let \(m\geq 1\), and let \(x_j:= -1+{2j-1 \over m}\), \(1\leq j\leq m\) denote \(m\) equally spaced points in \((-1,1)\). Define the discrete inner product \((g,h):= {1\over m} \sum^m_{j=1} g(x_j) h(x_j)\). Fix \(n
- The University of Texas System United States
- Royal Institute of Technology Sweden
- Southwestern University United States
- Kent State University United States
- Texas Tech University United States
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics(all), Numerical Analysis, Approximation by polynomials, Applied Mathematics, Kummer function, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), Gram polynomials, confluent hypergeometric function, Analysis
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics(all), Numerical Analysis, Approximation by polynomials, Applied Mathematics, Kummer function, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), Gram polynomials, confluent hypergeometric function, Analysis
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