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We show how one can obtain an asymptotic expression for some special functions satisfying a second order differential equation with a very explicit error term starting from appropriate upper bounds.
G.N. Watson, A Treatise on the theory of Bessel function
1944
Earlier work this paper cites.
M.L. Patrick, Some inequalities concerning Jacobi Polynomials
1971
Earlier work this paper cites.
M.L. Patrick, Extensions of inequalities of the Laguerre and Turán type,
1973
Earlier work this paper cites.
G. Szegö, Orthogonal Polynomials
1975
Earlier work this paper cites.
R.B. Paris, An inequality for the Bessel function J ν ( ν x ) , J_{\nu}(\nu x), ,
1984
Earlier work this paper cites.
Á. Elbert, A. Laforgia, A lower bound for J ν ( ν ) J_{\nu}(\nu)
1985
Earlier work this paper cites.
G. Ronning, On the curvature of the trigamma function,
1986
Earlier work this paper cites.
T. Lang, R. Wong, “Best possible” upper bounds for the first two positive zeros of the Bessel function J ν ( x ) : J_{\nu}(x): the infinit case
1996
Cited alongside, same era.
L. Lorch, R. Uberti, “Best possible” upper bounds for the first positive zeros of Bessel functions - the finite part,
1996
Cited alongside, same era.
C.K. Qu, R. Wong, “Best possible” upper and lower bounds for the zeros of the Bessel function J ν ( x ) , J_{\nu}(x),
1999
Cited alongside, same era.
S. Finch, Bessel function zeroes
2003
Cited alongside, same era.
M. E.H. Ismail, Classical and Quantum Orthogonal Polynomials in One Variable
2005
Cited alongside, same era.
I. Kraikov, Uniform bound for Bessel function
2006
A.Ya. Olenko, Upper bound on x J ν ( x ) \sqrt{x}\,J_{\nu}(x) and its applications
2006
Later among the works it cites.
I. Krasikov, An upper bound on Jacobi Polynomials
2007
Later among the works it cites.
I. Krasikov, On Erdélyi-Magnus-Nevai conjecture for Jacobi polynomials
2008
Later among the works it cites.
I.M. Fabbri, A. Lucianetti, I. Krasikov, On a Sturm Liouville periodic boundary values problem,
2009
Later among the works it cites.
NIST Handbook of Mathematical Functions , eds. F. W. J. Olver, D.W. Lozier, R.F. Boisvert, C.W. Clark, Cambridge University Press, 2010
2010
Later among the works it cites.
I. Krasikov, A. Zarkh, Equioscillatory properties of the Laguerre polynomials,
2047
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