Research article

Note on an integral by Fritz Oberhettinger

  • Received: 08 October 2020 Accepted: 19 October 2020 Published: 21 October 2020
  • MSC : 01A55, 11M06, 11M35, 30-02, 30D10, 30D30, 30E20

  • In 1974 Fritz Oberhettinger published the Tables of Mellin Transforms. We derive the correct result for one of these integrals along with some interesting special cases.

    Citation: Robert Reynolds, Allan Stauffer. Note on an integral by Fritz Oberhettinger[J]. AIMS Mathematics, 2021, 6(1): 564-568. doi: 10.3934/math.2021034

    Related Papers:

  • In 1974 Fritz Oberhettinger published the Tables of Mellin Transforms. We derive the correct result for one of these integrals along with some interesting special cases.


    加载中


    [1] F. Oberhettinger, Tables of Mellin Transforms, 1st ed., Springer-Verlag, Berlin Heidelberg, 1974.
    [2] M. Abramowitz, I. A. Stegun, (Eds) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing, New York, Dover, 1982.
    [3] A. Erdéyli, W. Magnus, F. Oberhettinger, F. G. Tricomi, Higher Transcendental Functions, Vol. 1, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953.
    [4] A. Erdéyli, W. Magnus, F. Oberhettinger, F. G. Tricomi, Tables of Integral Transforms, Vol. I, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1954.
    [5] I. S. Gradshteyn, I. M. Ryzhik, Tables of Integrals, Series and Products, 6 Ed, Academic Press, USA, 2000.
    [6] R. Reynolds, A. Stauffer, A Method for Evaluating Definite Integrals in Terms of Special Functions with Examples. International Mathematical Forum, 15 (2020), 235-244. doi: 10.12988/imf.2020.91272
  • Reader Comments
  • © 2021 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(2709) PDF downloads(118) Cited by(0)

Article outline

Other Articles By Authors

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog