New sum rule for products of Bessel functions with application to plasma physics

DOI10.1063/1.525510zbMath0509.76117OpenAlexW2073700786WikidataQ29011140 ScholiaQ29011140MaRDI QIDQ4749527

Barry S. Newberger

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525510

zbMATH Keywords

linear stabilitysum ruleproducts of Bessel functionsrelativistic beam-plasma systems

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (12)

On powers of Bessel functions ⋮ A review of procedures for summing Kapteyn series in mathematical physics ⋮ Pilot-wave dynamics in a rotating frame: the onset of orbital instability ⋮ Partial fraction expansion of the hypergeometric functions ⋮ Symbolic methods for the evaluation of sum rules of Bessel functions ⋮ Sum rule for products of Bessel functions: Comments on a paper by Newberger ⋮ Secant zeta functions ⋮ Powers of modified Bessel functions of the first kind ⋮ The summation of Bessel products ⋮ Taylor's series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of pi ⋮ A new class of sum rules for products of Bessel functions ⋮ Relativistic plasmas in uniform magnetic fields. I. General off-axis coupling methods

Cites Work

• A SUMMATION FORMULA ASSOCIATED WITH FINITE TRIGONOMETRIC INTEGRALS

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