14 citations · 20 across the 31 of their papers we have counts for
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Uniform Asymptotic approximation and numerical evaluation of the Reverse Generalized Bessel Polynomial zeros
T. M. Dunster, Amparo Gil, Diego Ruiz-Antolin +1
Uniform asymptotic expansions are derived for the zeros of the reverse generalized Bessel polynomials of large degree and real parameter . It is assumed that $-Δ_{1} n+\frac…
Asymptotic expansions for solutions of differential equations having a coalescing turning point and double pole, with an application to Legendre functions
T. M. Dunster
The asymptotic behavior of solutions to the second-order linear differential equation is analyzed for a large real parameter and $α\in[0,α…
Uniform asymptotic expansions for generalised trigonometric integrals and their zeros
T. M. Dunster
Asymptotic expansions for generalised trigonometric integrals are obtained in terms of elementary functions, which are valid for large values of the parameter and unbounded com…
Simplified Airy function Asymptotic expansions for Reverse Generalised Bessel Polynomials
T. M. Dunster
Uniform asymptotic expansions are derived for reverse generalised Bessel polynomials of large degree , real parameter , and complex argument , which are simpler than previ…
Asymptotic expansions for solutions of differential equations having coalescing turning points, with an application to Legendre functions
T. M. Dunster
Linear second-order ordinary differential equations of the form are studied for large values of the real parameter , where ranges ov…