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Licensed Unlicensed Requires Authentication Published by De Gruyter December 7, 2007

A simple formula for parabolic cylinder functions

  • Arjun K. Gupta and Saralees Nadarajah
From the journal Random Operators and Stochastic Equations
https://doi.org/10.1515/rose.2007.018

A simple (hitherto unknown) representation is derived for parabolic cylinder functions.

Keywords: Expectation; normal distribution; parabolic cylinder functions
Received: 2006-November-02
Revised: 2007-July-04
Published Online: 2007-12-07
Published in Print: 2007-10-19

© de Gruyter 2007

From the journal
Random Operators and Stochastic Equations
Random Operators and Stochastic Equations
Volume 15 Issue 3

Journal and Issue

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Approximation of random dynamical systems with discrete time by stochastic differential equations: I. Theory
Two-boundary problems for semi-Markov walk with a linear drift
Self averaging of normalized spectral functions of some product of independent random matrices of growing dimension
Weak solutions and a Yamada–Watanabe theorem for FBSDEs
M-estimates for stationary and scaled residuals
A simple formula for parabolic cylinder functions
Correction on a generalized BSDE involving local time and application to a PDE with nonlinear boundary condition
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