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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, , and Re(α + β) > −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 plasma physics.

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  • 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, , and Re(α + β) > −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 plasma physics. (en)
  • Inom matematiken är Lerche–Newbergers summaregel en formel som ger summan av en oändlig serie som innehåller Besselfunktionen av första slaget Jα. Formeln upptäcktes av B. S. Newberger 1982. Formeln säger att om μ är ett komplext tal som inte är ett heltal, , och Re(α + β) > −1 är (sv)
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  • 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, , and Re(α + β) > −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 plasma physics. (en)
  • Inom matematiken är Lerche–Newbergers summaregel en formel som ger summan av en oändlig serie som innehåller Besselfunktionen av första slaget Jα. Formeln upptäcktes av B. S. Newberger 1982. Formeln säger att om μ är ett komplext tal som inte är ett heltal, , och Re(α + β) > −1 är (sv)
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  • Lerche–Newberger sum rule (en)
  • Lerche–Newbergers summaregel (sv)
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