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词条 Böhmer integral
释义

  1. References

In mathematics, a Böhmer integral is an integral introduced by {{harvtxt|Böhmer|1939}} generalizing the Fresnel integrals.

There are two versions, given by

Consequently, Fresnel integrals can be expressed in terms of the Böhmer integrals as

The sine integral and cosine integral can also be expressed in terms of the Böhmer integrals

References

  • {{cite book | last1=Böhmer | first1=Paul Eugen | title=Differenzengleichungen und bestimmte Integrale. | url=https://books.google.com/books?id=pD5tAAAAMAAJ | publisher=Leipzig, K. F. Koehler Verlag | language=German | year=1939}}
  • {{cite book | last1=Oldham | first1=Keith B. | last2=Myland | first2=Jan | last3=Spanier | first3=Jerome | title=An Atlas of Functions | publisher=Springer Science & Business Media | date=2010 | page=401 | url=https://books.google.ru/books?id=UrSnNeJW10YC&pg=PA401}}
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1 : Special functions

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