The expansion of the confluent hypergeometric function on the positive real axis

R. B. Paris

Research output: Contribution to journal › Article

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Abstract

The asymptotic expansion of the Kummer function 1F1(a; b; z) is examined as z → +∞ on the Stokes line arg z = 0. The correct form of the subdominant algebraic contribution is obtained for non-integer a. Numerical results demonstrating the accuracy of the expansion are given.
Original languageEnglish
Pages (from-to)19-26
Number of pages8
JournalApplied Mathematical Sciences
Volume12
Issue number1
DOIs
Publication statusPublished - 5 Jan 2018

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Kummer Function
Confluent Hypergeometric Function
Stokes
Asymptotic Expansion
Numerical Results
Line
Form

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Paris, R. B. / The expansion of the confluent hypergeometric function on the positive real axis. In: Applied Mathematical Sciences. 2018 ; Vol. 12, No. 1. pp. 19-26.
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Paris, RB 2018, 'The expansion of the confluent hypergeometric function on the positive real axis', Applied Mathematical Sciences, vol. 12, no. 1, pp. 19-26. https://doi.org/10.12988/ams.2018.712351

The expansion of the confluent hypergeometric function on the positive real axis. / Paris, R. B.

In: Applied Mathematical Sciences, Vol. 12, No. 1, 05.01.2018, p. 19-26.

Research output: Contribution to journal › Article

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AU - Paris, R. B.

PY - 2018/1/5

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N2 - The asymptotic expansion of the Kummer function 1F1(a; b; z) is examined as z → +∞ on the Stokes line arg z = 0. The correct form of the subdominant algebraic contribution is obtained for non-integer a. Numerical results demonstrating the accuracy of the expansion are given.

AB - The asymptotic expansion of the Kummer function 1F1(a; b; z) is examined as z → +∞ on the Stokes line arg z = 0. The correct form of the subdominant algebraic contribution is obtained for non-integer a. Numerical results demonstrating the accuracy of the expansion are given.

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DO - 10.12988/ams.2018.712351

M3 - Article

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JF - Applied Mathematical Sciences

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Paris RB. The expansion of the confluent hypergeometric function on the positive real axis. Applied Mathematical Sciences. 2018 Jan 5;12(1):19-26. https://doi.org/10.12988/ams.2018.712351

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