Argument estimates of certain multivalent functions involving Dziok-Srivastava operator.

Shanmugam, T.N.; Sivasubramanian, S.; Owa, Shigeyoshi

Displaying similar documents to “Argument estimates of certain multivalent functions involving Dziok-Srivastava operator.”

Applications of Nunokawa's theorem.

Lashin, A.Y. (2004)

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On certain classes of multivalent analytic functions.

Frasin, B.A. (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Fekete-Szegő problem for subclasses of generalized uniformly starlike functions with respect to symmetric points

Nihat Yagmur, Halit Orhan (2014)

Mathematica Bohemica

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The authors obtain the Fekete-Szegő inequality (according to parameters $s$ and $t$ in the region $s^{2} + s t + t^{2} < 3$ , $s \neq t$ and $s + t \neq 2$ , or in the region $s^{2} + s t + t^{2} > 3,$ $s \neq t$ and $s + t \neq 2$ ) for certain normalized analytic functions $f (z)$ belonging to $k {-UST}_{λ, μ}^{n} (s, t, γ)$ which satisfy the condition $ℜ \{\frac{(s - t) z {(D_{λ, μ}^{n} f (z))}^{'}}{D_{λ, μ}^{n} f (s z) - D_{λ, μ}^{n} f (t z)}\} > k |\frac{(s - t) z {(D_{λ, μ}^{n} f (z))}^{'}}{D_{λ, μ}^{n} f (s z) - D_{λ, μ}^{n} f (t z)} - 1| + γ, z \in 𝒰 .$ Also certain applications of the main result a class of functions defined by the Hadamard product (or convolution) are given. As a special case of this result, the Fekete-Szegő inequality for a class of functions defined through fractional derivatives...

Inequalities in the complex plane.

Szász, Róbert (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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A two parameters Ambrosetti-Prodi problem.

De Coster, C., Habets, P. (1996)

Portugaliae Mathematica

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Uniformly convex functions II

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 $f^{- 1} (w) = w + d ₂ w ² + d ₃ w ³ + . . .$ . The series expansion for $f^{- 1} (w)$ converges when $| w | < ϱ_{f}$ , where $0 < ϱ_{f}$ 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...

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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The extreme points of a class of functions with positive real part.

Kortram, R.A. (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces

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.

Invariant subspaces for polynomially compact almost superdiagonal operators on $l (p_{i})$ .

Grainger, Arthur D. (2003)

International Journal of Mathematics and Mathematical Sciences

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Some subclasses of close-to-convex functions

Adam Lecko (1993)

Annales Polonici Mathematici

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For α ∈ [0,1] and β ∈ (-π/2,π/2) we introduce the classes $C_{β} (α)$ defined as follows: a function f regular in U = z: |z| < 1 of the form $f (z) = z + \sum_{n = 1}^{\infty} a_{n} z^{n}$ , z ∈ U, belongs to the class $C_{β} (α)$ if $R e e^{i β} (1 - α ² z ²) f^{'} (z) < 0$ for z ∈ U. Estimates of the coefficients, distortion theorems and other properties of functions in $C_{β} (α)$ are examined.