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holomorphic functions

Univalent holomorphic functions with fixed finitely
many coefficients involving Salagean operator

Univalent holomorphic functions with fixed finitely many coefficients involving Salagean operator

... By using generalized Salagean differential operator a new class of univalent holomorphic functions with fixed finitely many coefficients is defined.. Coefficient estimates, extreme point[r] ...

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SOME RESULTS ON UNIVALENT HOLOMORPHIC FUNCTIONS BASED ON $q$-ANALOGUE OF NOOR OPERATOR

SOME RESULTS ON UNIVALENT HOLOMORPHIC FUNCTIONS BASED ON $q$-ANALOGUE OF NOOR OPERATOR

... Abstract: The main object of this paper is to define a new sublclass of univalent holomorphic functions along with the recently defined q–analogue of Noor operator. We obtained a number of useful properties ...

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Weighted integrals of holomorphic functions in the unit polydisc

Weighted integrals of holomorphic functions in the unit polydisc

... WEIGHTED INTEGRALS OF HOLOMORPHIC FUNCTIONS IN THE UNIT POLYDISC STEVO STEVIĆ Received 28 September 2003.. for the integral means of f..[r] ...

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Denseness of Numerical Radius Attaining Holomorphic Functions

Denseness of Numerical Radius Attaining Holomorphic Functions

... The following is an application of the numerical boundary to the density of numerical radius attaining holomorphic functions. Similar application of the norming subset to the density of norm attaining ...

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Maximum and Minimum Modulus Principle for Bicomplex Holomorphic Functions

Maximum and Minimum Modulus Principle for Bicomplex Holomorphic Functions

... In 1892, in search for special algebras, Corrado Segre [1] (1860-1924) published a paper in which he treated an infinite family of algebras whose elements are commutative generalization of complex numbers called bicompl- ...

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Aspects of univalent holomorphic functions involving multiplier transformation and Ruscheweyh derivative

Aspects of univalent holomorphic functions involving multiplier transformation and Ruscheweyh derivative

... Alb Lupas? Advances in Difference Equations 2014, 2014 117 http //www advancesindifferenceequations com/content/2014/1/117 R ES EARCH Open Access Aspects of univalent holomorphic functions involving m[.] ...

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Boundary value problems associated with generalized Q-holomorphic functions

Boundary value problems associated with generalized Q-holomorphic functions

... 12. Hızlıyel, S, Ça ˘glıyan, M: Generalized Q-holomorphic functions. Complex Var. Theory Appl. 49, 427-447 (2004) 13. Hızlıyel, S, Ça ˘glıyan, M: Pseudo Q-holomorphic functions. Complex Var. ...

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Norm estimates for weighted composition operators on spaces of holomorphic functions

Norm estimates for weighted composition operators on spaces of holomorphic functions

... Similarly, the Bergman space corresponds to the case dν = dx (Lebesgue measure), and w(t) = π/t. In the cases above, and in many others, the Laplace transform is surjective (see [12]) and as in [13] we shall use the ...

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On holomorphic functions with certain extremal properties of its absolute values

On holomorphic functions with certain extremal properties of its absolute values

... ON HOLOMORPHIC FUNCTIONS WITH CERTAIN EXTREMAL PROPERTIES OF ITS ABSOLUTE VALUES DIETER SCHMERSAU Mathematisches Institut der Freien Universitt Berlin FB 19, WE I, HOttenweg 9 1OOO Berli[r] ...

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Relations of a planar domains bounded by hyperbolas with families of holomorphic functions

Relations of a planar domains bounded by hyperbolas with families of holomorphic functions

... univalent functions, and by ST , CV the best known subclasses of S containing functions starlike with respect to the origin and convex, ...of functions ϕ that map the unit disk onto the domains ϕ( D ...

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Optimal Recovery of Holomorphic Functions from Inaccurate Information about Radial Integration

Optimal Recovery of Holomorphic Functions from Inaccurate Information about Radial Integration

... [4] A. G. Marchuk and K. Y. Osipenko, “Best Approxima- tions of Functions Specified with an Error at a Finite Number of Points,” Mathematical Notes of the Academy of Sciences of the USSR, Vol. 17, No. 3, 1975, pp. ...

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The complex plank problem

The complex plank problem

... However, the important point about Theorem 2 is that it is a genuinely complex result: among other things, the proof involves the maximum modulus principle for holomorphic functions.... [r] ...

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Hilbert Boundary Value Problem with an Unknown Function on Arbitrary Infinite Straight Line

Hilbert Boundary Value Problem with an Unknown Function on Arbitrary Infinite Straight Line

... We consider a Hilbert boundary value problem with an unknown parametric function on arbitrary infinite straight line passing through the origin. We propose to transform the Hilbert boundary value problem to Riemann ...

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On Critical Values of L-Functions for Holomorphic Forms on GSp(4) X GL(2)

On Critical Values of L-Functions for Holomorphic Forms on GSp(4) X GL(2)

... are holomorphic functions that live on the upper-half plane and satisfy certain ...These functions and their generalizations arise naturally from fundamental investigations in several mathematical ...

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Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains

Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains

... In a series of recent papers, so-called isotonic Clifford analysis has emerged as yet a refinement of the standard case but also has strong connections with the theory of holomorphic functions of several ...

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Uniform Approximation on Riemann Surfaces

Uniform Approximation on Riemann Surfaces

... only holomorphic functions on compact Riemann surfaces are constant functions, we study non-compact Riemann surfaces, which are also called open Riemann ...for holomorphic approxi- mation on ...

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Hyperbolic Valued Signed Measure

Hyperbolic Valued Signed Measure

... Vajiac: Bicomplex holomorphic functions: The algebra, geometry and analysis of bicomplex numbers, Frontiers in Mathematics, Birkhäuser Basel, 2015. Price: An Introduction to Mu[r] ...

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Geometric properties for integro differential operator involving the pre Schwarzian derivative

Geometric properties for integro differential operator involving the pre Schwarzian derivative

... univalent functions with negative and fixed coefficient based on Salagean and Ruscheweyh differential ...analytic functions founded by the concept of Salagean operator with vary- ing ...analytic ...

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Cohomology with Lp bounds on polycylinders

Cohomology with Lp bounds on polycylinders

... If B is t.he sheaf of germs of bounded holomorphic functions on the closure of a polycylinder fl, it is proved, among other things, in [1] that the cohomology group.. As part of the vani[r] ...

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Generalized Moisil Théodoresco Systems and Cauchy Integral Decompositions

Generalized Moisil Théodoresco Systems and Cauchy Integral Decompositions

... generalizes in an elegant way the theory of holomorphic functions in the complex plane to a higher dimension and provides at the same time a refinement of the theory of harmonic functions. One of the ...

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