Asymptotics of zeros of basic sine and cosine functions
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Publication:1873785
DOI10.1016/S0021-9045(03)00027-3zbMath1025.33008OpenAlexW1997739554MaRDI QIDQ1873785
Publication date: 27 May 2003
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0021-9045(03)00027-3
Lagrange inversion formula\(q\)-zeta functionbasic trigonometric functionsbasic Fourier seriesasymptotics of zeros of \(q\)-trigonometric functions
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) (q)-gamma functions, (q)-beta functions and integrals (33D05) Exponential and trigonometric functions (33B10)
Related Items (4)
Wallis type formula and a few versions of the number \(\pi\) in \(q\)-calculus ⋮ Basic Fourier series: convergence on and outside the \(q\)-linear grid ⋮ A basic analog of a theorem of Pólya ⋮ Some expansions in basic Fourier series and related topics
Cites Work
- Some expansions in basic Fourier series and related topics
- Classical orthogonal polynomials of a discrete variable and representations of the three-dimensional rotation group
- The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
- Basic analog of Fourier series on a \(q\)-quadratic grid
- Diagonalization of certain integral operators
- ``Addition theorems for some \(q\)-exponential and \(q\)-trigonometric functions
- Inverse operators, \(q\)-fractional integrals, and \(q\)-Bernoulli polynomials
- An introduction to basic Fourier series
- A note on completeness of basic trigonometric system in \({\mathcal L}^2\)
- Diagonalization of certain integral operators. II
- Another addition theorem for theq-exponential function
- The Basic Bessel Functions and Polynomials
- Quadratic 𝑞-exponentials and connection coefficient problems
- Basic analog of Fourier series on a \(q\)-linear grid.
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