• Media type: E-Article
  • Title: Finite sum representations for partial derivatives of special functions with respect to parameters
  • Contributor: Buschman, R. G.
  • imprint: American Mathematical Society (AMS), 1974
  • Published in: Mathematics of Computation
  • Language: English
  • DOI: 10.1090/s0025-5718-1974-0371019-7
  • ISSN: 0025-5718; 1088-6842
  • Keywords: Applied Mathematics ; Computational Mathematics ; Algebra and Number Theory
  • Origination:
  • Footnote:
  • Description: <p>The Mellin transformation is used as a method for discovery of cases where the partial derivatives with respect to parameters for certain Whittaker and Bessel functions can be expressed in terms of finite sums involving these functions. These results are easily generalized to the <italic>G</italic>-function, from which, by specialization, formulas involving hypergeometric and other functions can be obtained.</p>
  • Access State: Open Access