On an identity related to multivalent functions
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- by A. Z. Grinshpan
- Proc. Amer. Math. Soc. 123 (1995), 1199-1205
- DOI: https://doi.org/10.1090/S0002-9939-1995-1242085-7
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Abstract:
We prove an algebraic identity by induction. This identity is very important in the coefficient problem for analytic functions that are p-valent in the unit disk.References
- A. W. Goodman, On some determinants related to $p$-valent functions, Trans. Amer. Math. Soc. 63 (1948), 175–192. MR 23910, DOI 10.1090/S0002-9947-1948-0023910-X
- A. W. Goodman and M. S. Robertson, A class of multivalent functions, Trans. Amer. Math. Soc. 70 (1951), 127–136. MR 40430, DOI 10.1090/S0002-9947-1951-0040430-7
Bibliographic Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1199-1205
- MSC: Primary 30C50; Secondary 30C45
- DOI: https://doi.org/10.1090/S0002-9939-1995-1242085-7
- MathSciNet review: 1242085