Inverse Laplace transforms of products of Whittaker functions

Richard Beals, Yakar Kannai

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Identities of the formW1(z)W2(ζ)=0e- τg(z,ζ,τ)dτare proved. Here W1 is either of the Whittaker functions Wκ,μ or Mκ,μ and W2 is either of Wκ′,μor Mκ ′,-μ. The function g has, piecewise, a form that involves a hypergeometric function of a rational function of z and ζ. These identities make possible the calculation of explicit global propagators for certain singular hyperbolic equations and degenerate hyperbolic equations in two variables of the formx2K-2uyy+λ(k-1)xk-2uy-uxx=0

Original languageEnglish
Pages (from-to)795-806
Number of pages12
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2092
StatePublished - 8 Apr 2008
Externally publishedYes


  • Kummer functions
  • Laplace transform
  • Whittaker functions


Dive into the research topics of 'Inverse Laplace transforms of products of Whittaker functions'. Together they form a unique fingerprint.

Cite this