Some classes of meromorphic functions with assigned zeros and poles

Shôtaro OGAWA; Kôichi SAKAGUCHI

doi:10.2969/jmsj/00810040

Shôtaro OGAWA, Kôichi SAKAGUCHI

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JOURNAL FREE ACCESS

1956 Volume 8 Issue 1 Pages 40-53

DOI https://doi.org/10.2969/jmsj/00810040

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Published: 1956 Received: March 15, 1954 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Shotaro OGAWA¹⁾, Koichi SAKAGUCHI¹⁾
Right : Shôtaro OGAWA¹⁾, Kôichi SAKAGUCHI¹⁾

Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. W. Goodman, Typically-real functions with assigned zeros, Proc. Amer. Math. Soc., 2 (1951), pp. 349-357.
2) T. Umezawa, A class of multivalent functions with assigned zeros, Proc. Amer. Math. Soc., 3 (1952), pp. 813-820.
3) M. S. Robertson, Analytic functions starlike in one direction, Amer. J. Math., 58 (1936), pp. 465-472.
4) M. S. Robertson, A representation of all analytic functions with positive real parts, Ann. of Math., 38 (1937), pp. 770-783.
5) M. S. Robertson, The variation of the sign of V for an analytic function U+iV, Duke Math. J., 5 (1939), pp. 512-519.
6) S. Ozaki, T. Umezawa and T. Takatsuka, Analytic functions starlike of order p in one direction, J. Dept. Educ. Shizuoka Univ., 1 (1950), pp. 81-87.
7) J. Ito, On the function whose imaginary part on the unit circle changes its sign 2p times, Sci. Rep. Tokyo Bunrika Daigaku, 4 (1944), pp. 108-114.
8) J. Ito, On the function whose real part on the unit circle changes its sign finite times, J. Nagoya Tech. Univ., 3 (1951).
9) J. Ito, S. Ozaki, On the coefficient-problem in the theory of schlicht functions, J. Otsuka Math. Soc., 2, 6 (1937), pp. 23-29.
10) J. Ito, On the theory of multivalent functions II, Sci. Rep. Tokyo Bunrika Daigaku, 4 (1941), pp. 45-87.
11) N. G. DeBruijn, Ein Satz über schlichte Funktionen, Neder. Akad. Wetensch., 44 (1941), pp. 47-49.
12) W. Rogosinski, Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen, Math. Zeits., 35 (1932), pp. 93-121.
13) T. Umezawa, Some theorems on multivalent functions, Sci. Rep. Gumma University, 1 (1950), pp. 13-20.

Right : [1] A. W. Goodman, Typically-real functions with assigned zeros, Proc. Amer. Math. Soc., 2 (1951), pp. 349-357.
[2] T. Umezawa, A class of multivalent functions with assigned zeros, Proc. Amer. Math. Soc., 3 (1952), pp. 813-820.
[3] M. S. Robertson, Analytic functions starlike in one direction, Amer. J. Math., 58 (1936), pp. 465-472.
[4] M. S. Robertson, A representation of all analytic functions with positive real parts, Ann. of Math., 38 (1937), pp. 770-783.
[5] M. S. Robertson, The variation of the sign of V for an analytic function U+iV, Duke Math. J., 5 (1939), pp. 512-519.
[6] S. Ozaki, T. Umezawa and T. Takatsuka, Analytic functions starlike of order p in one direction, J. Dept. Educ. Shizuoka Univ., 1 (1950), pp. 81-87.
[7] J. Ito, On the function whose imaginary part on the unit circle changes its sign 2p times, Sci. Rep. Tokyo Bunrika Daigaku, 4 (1944), pp. 108-114.
[8] J. Ito, On the function whose real part on the unit circle changes its sign finite times, J. Nagoya Tech. Univ., 3 (1951).
[9] S. Ozaki, On the coefficient-problem in the theory of schlicht functions, J. Otsuka Math. Soc., 2, 6 (1937), pp. 23-29.
[10] S. Ozaki, On the theory of multivalent functions II, Sci. Rep. Tokyo Bunrika Daigaku, 4 (1941), pp. 45-87.
[11] N. G. DeBruijn, Ein Satz über schlichte Funktionen, Neder. Akad. Wetensch., 44 (1941), pp. 47-49.
[12] W. Rogosinski, Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen, Math. Zeits., 35 (1932), pp. 93-121.
[13] T. Umezawa, Some theorems on multivalent functions, Sci. Rep. Gumma University, 1 (1950), pp. 13-20.

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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