Modified Struve Function
where 
is the gamma function. 
is related to the ordinary Struve function 
by
 |
(3)
|
(Abramowitz and Stegun 1972, p. 498).
The Struve function 
is implemented in the Wolfram Language as StruveL[n, z].
The plots above show 
in the complex plane.
REFERENCES:
Abramowitz, M. "Tables of Integrals of Struve Functions." J. Math. Phys. 29, 49-51, 1950.
Abramowitz, M. and Stegun, I. A. (Eds.). "Modified Struve Function 
." §12.2 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 498, 1972.
Apelblat, A. "Derivatives and Integrals with Respect to the Order of the Struve Functions 
and 
." J. Math. Anal. Appl. 137, 17-36, 1999.
Cook, R. K. "Some Properties of Struve Functions." J. Washington Acad. Sci. 47, 365-368, 1957.
Horton, C. W. "On the Extension of Some Lommel Integrals to Struve Functions with an Application to Acoustic Radiation." J. Math. Phys. 29, 31-37, 1950.
Horton, C. W. "A Short Table of Struve Functions and of Some Integrals Involving Bessel and Struve Functions." J. Math. Phys. 29, 56-58, 1950.
Mathematical Tables Project. "Table of the Struve Functions 
and 
." J. Math. Phys. 25, 252-259, 1946.
Prudnikov, A. P.; Marichev, O. I.; and Brychkov, Yu. A. "The Struve Functions 
and 
." §1.4 in Integrals and Series, Vol. 3: More Special Functions. Newark, NJ: Gordon and Breach, pp. 24-27, 1990.
