A uniform expansion of the Legendre functions of large indices is considered by using the WKB approach. We obtain the recurrent formula for the coefficients of uniform expansion and compare them with the uniform expansion of the Bessel function. © 2003 American Institute of Physics
In chapter I known asymptotic forms and expansions of the hypergeometric function obtained by Erdély...
The use of a uniform Airy-type asymptotic expansion for the computation of the modified Bessel funct...
A modification of the Poincaré-type asymptotic expansion for functions defined by Laplace transforms...
A uniform expansion of the Legendre functions of large indices is considered by using the WKB approa...
New expansions for the Legendre functions P_n^(-m)(z) and Q_n^(-m)(z) are obtained; m and n are larg...
For the coefficients An(‘) and Bn(‘), that occur in the uniform asymptotic expansions of Bessel func...
Associated Legendre functions of half-odd degree and arguments larger than one, also known as toroid...
AbstractThe uniform asymptotic expansion of the modified Bessel function of the first kind lv(vz), e...
On the occasion of the conference we mention examples of Stieltjes' work on asymptotics of special ...
AbstractOn the occasion of the conference we mention examples of Stieltjes' work on asymptotics of s...
textabstractAiry-type asymptotic representations of a class of special functions are considered from...
We give an overview of basic methods that can be used for obtaining asymptotic expansions of integra...
AbstractUniform asymptotic properties of the classical Jacobi polynomials have been studied via vari...
The numerical evaluation of an individual Bessel or Hankel function of large order and large argumen...
AbstractIn this paper, we present formulas betwixt Legender and Chebyshev expansion coefficients for...
In chapter I known asymptotic forms and expansions of the hypergeometric function obtained by Erdély...
The use of a uniform Airy-type asymptotic expansion for the computation of the modified Bessel funct...
A modification of the Poincaré-type asymptotic expansion for functions defined by Laplace transforms...
A uniform expansion of the Legendre functions of large indices is considered by using the WKB approa...
New expansions for the Legendre functions P_n^(-m)(z) and Q_n^(-m)(z) are obtained; m and n are larg...
For the coefficients An(‘) and Bn(‘), that occur in the uniform asymptotic expansions of Bessel func...
Associated Legendre functions of half-odd degree and arguments larger than one, also known as toroid...
AbstractThe uniform asymptotic expansion of the modified Bessel function of the first kind lv(vz), e...
On the occasion of the conference we mention examples of Stieltjes' work on asymptotics of special ...
AbstractOn the occasion of the conference we mention examples of Stieltjes' work on asymptotics of s...
textabstractAiry-type asymptotic representations of a class of special functions are considered from...
We give an overview of basic methods that can be used for obtaining asymptotic expansions of integra...
AbstractUniform asymptotic properties of the classical Jacobi polynomials have been studied via vari...
The numerical evaluation of an individual Bessel or Hankel function of large order and large argumen...
AbstractIn this paper, we present formulas betwixt Legender and Chebyshev expansion coefficients for...
In chapter I known asymptotic forms and expansions of the hypergeometric function obtained by Erdély...
The use of a uniform Airy-type asymptotic expansion for the computation of the modified Bessel funct...
A modification of the Poincaré-type asymptotic expansion for functions defined by Laplace transforms...