Results 81 to 90 of about 360,320 (184)

The Coefficients of Multivalent Close-to-Convex Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1969
Inequality (1.1) reduces to the well-known Bieberbach conjecture when p =1. The conjecture was proven by Goodman and Robertson [3] for a function in S(p), in case all its coefficients are real and by Robertson [7], in case a, = a2 = ... = a,2 =0, the remaining coefficients being complex.
openaire   +2 more sources

Three Ellipsoids for External Approximation of the Half-Ball

open access: yesКібернетика та комп'ютерні технології
Introduction. Ellipsoids that approximate the half-ball in Rn (n≥2) and their volume is smaller than the volume of the ball can be used to construct algorithms for solving the problem of minimization of a convex (smooth or non-smooth) function, the ...
Olha Khomiak
doaj   +1 more source

Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of ...
G. Murugusundaramoorthy, N. Magesh
doaj   +1 more source

A cutting-plane method with internal iteration points for the general convex programming problem

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки
A cutting method for solving the problem of convex programming was proposed. The method calculates iteration points based on approximation by polyhedral sets of the constraint region and the epigraph of the objective function.
I. Ya. Zabotin   +2 more
doaj   +1 more source

Meromorphic close-to-convex functions.

open access: yesMichigan Mathematical Journal, 1961
Libera, R. J., Robertson, M. S.
openaire   +3 more sources

Ozaki-Type Bi-Close-to-Convex and Bi-Concave Functions Involving a Modified Caputo’s Fractional Operator Linked with a Three-Leaf Function

open access: yesFractal and Fractional
The focus of the present work is on the establishment and investigation of the coefficient estimates of two new subclasses of bi-close-to-convex functions and bi-concave functions; these are of an Ozaki type and involve a modified Caputo’s fractional ...
Kaliappan Vijaya   +4 more
doaj   +1 more source

Multivalently Close-to-Convex Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1957
openaire   +2 more sources

On close-to-convex analytic functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1965
openaire   +2 more sources

Some properties of a class of holomorphic functions associated with tangent function

open access: yesDemonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar   +5 more
doaj   +1 more source

Meromorphic multivalent close-to-convex functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1965
openaire   +2 more sources

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