Series expansions of $W_{k, m}(Z)$ involving parabolic cylinder functions
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- by R. Wong and E. Rosenbloom PDF
- Math. Comp. 25 (1971), 783-787 Request permission
Abstract:
In this paper, an explicit error bound is obtained for an expansion of the Whittaker function, ${W_{k,m}}(z)$, in series of parabolic cylinder functions. It is also shown that the Whittaker function may be asymptotically represented as the sum of two products where one product involves a parabolic cylinder function and the other product involves the first-order derivative of this function.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Math. Comp. 25 (1971), 783-787
- MSC: Primary 33A30
- DOI: https://doi.org/10.1090/S0025-5718-1971-0306566-4
- MathSciNet review: 0306566