### Solving some problems of advanced analytical nature posed in the SIAM Review. II.

Grosjean, Carl C. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Grosjean, Carl C. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Grainger, Arthur D. (2003)

International Journal of Mathematics and Mathematical Sciences

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Mohmed H. Saleh, Samir M. Amer, Marwa H. Ahmed (2009)

Applications of Mathematics

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A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.

Bagno, Eli, Butman, Ayelet, Garber, David (2007)

The Electronic Journal of Combinatorics [electronic only]

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Fečkan, Michael (2003)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Minhós, Feliz (1998)

Portugaliae Mathematica

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Wancang Ma, David Minda (1993)

Annales Polonici Mathematici

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Recently, A. W. Goodman introduced the class UCV of normalized uniformly convex functions. We present some sharp coefficient bounds for functions f(z) = z + a₂z² + a₃z³ + ... ∈ UCV and their inverses ${f}^{-1}\left(w\right)=w+d\u2082w\xb2+d\u2083w\xb3+...$. The series expansion for ${f}^{-1}\left(w\right)$ converges when $\left|w\right|<{\varrho}_{f}$, where $0<{\varrho}_{f}$ depends on f. The sharp bounds on $|{a}_{n}|$ and all extremal functions were known for n = 2 and 3; the extremal functions consist of a certain function k ∈ UCV and its rotations. We obtain the sharp bounds on $|{a}_{n}|$ and all extremal functions for...

Cañada, A., Ureña, A.J. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Faliharimalala, Hilarion L.M., Zeng, Jiang (2008)

The Electronic Journal of Combinatorics [electronic only]

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Vella, David C. (2008)

Integers

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Dambrosio, W. (1999)

Rendiconti del Seminario Matematico

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Guersenzvaig, Natalio H., Spivey, Michael Z. (2007)

Integers

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