asymptotic approximations and expansions for large |r|
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11—14 of 14 matching pages
11: 10.21 Zeros
§10.21(vi) McMahon’s Asymptotic Expansions for Large Zeros
… ► … ►§10.21(vii) Asymptotic Expansions for Large Order
… ►§10.21(viii) Uniform Asymptotic Approximations for Large Order
… ►The asymptotic expansion of the large positive zeros (not necessarily the th) of the function …12: 30.16 Methods of Computation
13: Errata
as , () real, we have added the constant term and the order term , and hence was replaced by .
A short paragraph dealing with asymptotic approximations that are expressed in terms of two or more Poincaré asymptotic expansions has been added below (2.1.16).
Because (2.11.4) is not an asymptotic expansion, the symbol that was used originally is incorrect and has been replaced with , together with a slight change of wording.
Originally was expressed in term of asymptotic symbol . As a consequence of the use of the order symbol on the right-hand side, was replaced by .
A new paragraph with several new equations and a new reference has been added at the end to provide asymptotic expansions for Kummer functions and as in and and fixed.