Exactification of the asymptotics for Bessel and Hankel functions.

DOI10.1016/S0096-3003(01)00252-1zbMath1070.33004MaRDI QIDQ1855898

Victor Kowalenko

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta functionasymptotic expansionBessel functionMellin-Barnes integral

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (9)

Generalized Cosecant Numbers and the Hurwitz Zeta Function ⋮ Applications of the cosecant and related numbers ⋮ On a finite sum involving inverse powers of cosines ⋮ Landau damping, Stokes phenomenon and the weakly magnetized Maxwellian plasma ⋮ Properties and applications of the reciprocal logarithm numbers ⋮ Generalizing the reciprocal logarithm numbers by adapting the partition method for a power series expansion ⋮ Exactification of the Poincaré asymptotic expansion of the Hankel integral: spectacularly accurate asymptotic expansions and non-asymptotic scales ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• Mathematica

Cites Work

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• Hyperasymptotic solutions of second-order linear differential equations. I
• The special functions and their approximations. Vol. I, II
• A recursion formula for the coefficients in an asymptotic expansion
• Hyperasymptotics for integrals with saddles
• Mellin - Barnes regularization, Borel summation and the Bender - Wu asymptotics for the anharmonic oscillator
• Hyperasymptotics

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