Lerche–Newberger sum rule
id:
lerche-newberger-sum-rule-276-17252160
title:
Lerche–Newberger sum rule
text:
The Lerche–Newberger, or Newberger, sum rule, discovered by B. S. Newberger in 1982, finds the sum of certain infinite series involving Bessel functions Jα of the first kind. It states that if μ is any non-integer complex number, γ ∈ ( 0 , 1 ] , and Re > −1, then Newberger's formula generalizes a formula of this type proven by Lerche in 1966; Newberger discovered it independently. Lerche's formula has γ =1; both extend a standard rule for the summation of Bessel functions, and are useful in plas
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wiki
category slug:
encyclopedia
description:
Finds the sum of certain infinite series involving Bessel functions of the first kind
original url:
https://en.wikipedia.org/wiki/Lerche%E2%80%93Newberger_sum_rule
date created:
date modified:
2024-01-13T09:46:39Z
main entity:
{"identifier":"Q6528762","url":"https://www.wikidata.org/entity/Q6528762"}
image:
fields total:
13
integrity:
14