Product Formulas and Nicholson-Type Integrals for Jacobi Functions. I: Summary of Results
From MaRDI portal
Publication:4150001
DOI10.1137/0509007zbMath0372.33009OpenAlexW2034043246MaRDI QIDQ4150001
Publication date: 1978
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0509007
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items
Integral formulas associated with products of Bessel functions: A new partial differential equation approach ⋮ Volterra algebra and the Bethe–Salpeter equation ⋮ Sums of products of ultraspherical functions ⋮ A class of sums of Gegenbauer functions: Twenty-four sums in closed form ⋮ An \(\mathcal{O}(1)\) algorithm for the numerical evaluation of the Sturm-Liouville eigenvalues of the spheroidal wave functions of order zero ⋮ On the numerical evaluation of the prolate spheroidal wave functions of order zero ⋮ Computation of Jacobi functions of the second kind for use in nearside-farside scattering theory ⋮ Product formulas and convolution structure for Fourier-Bessel series ⋮ Askey-Wilson functions of the first and second kind: Series and integral representations of \(C^ 2_ n(x ;\beta{}|{}q)+D^ 2_ n(x ;\beta{}|{}q)\) ⋮ Special functions, infinite divisibility and transcendental equations ⋮ Second type Neumann series of generalized Nicholson function ⋮ Inequalities and monotonicity properties for zeros of Hermite functions
