“Struve Function”的概念、定义、习题解题方法及翻译-数学辞典

单词

Struve Function

释义

Struve Function

Abramowitz and Stegun (1972, pp. 496-499) define the Struve function as

(1)

where

is the Gamma Function. Watson (1966, p. 338) defines the Struve function as

(2)

The series expansion is

(3)

For half integer orders,

			(4)
			(5)

The Struve function and its derivatives satisfy

(6)

See also Anger Function, Bessel Function, Modified Struve Function, Weber Functions

References

Abramowitz, M. and Stegun, C. A. (Eds.). ``Struve Function .'' §12.1 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 496-498, 1972.

Spanier, J. and Oldham, K. B. ``The Struve Function.'' Ch. 57 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 563-571, 1987.

Watson, G. N. A Treatise on the Theory of Bessel Functions, 2nd ed. Cambridge, England: Cambridge University Press, 1966.

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