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On the Approximation of an analytic function Represented by Laplace-Stieltjes Transformation

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Analysis in Theory and Applications 2015年第4期31卷 407-420页

作者： Chhaya Singhal G.S.Srivastava Department of Mathematics Jaypee Institute of Information Technology

In the present paper,we have considered the approximation of analytic functions represented by Laplace-Stieltjes transformations using sequence of definite integrals. We have characterized their order and type in terms of the rate of decrease of E;（F,β） where E;（F,β） is the error in approximating of the function F（s） by definite integral polynomials in the half plane Res≤β<α.

关键词： Laplace-Stieltjes transformation analytic function order type approximation error

Fekete-SzegöInequalities and the Symmetric Toeplitz Determinants for Certain analytic function Class Involving q-Differintegral Operator

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Chinese Quarterly Journal of Mathematics 2024年第4期39卷 366-378页

作者： PEI Ke-ke LONG Pin-hong LIU Jin-lin GANGADHARAN Murugusundaramoorthy School of Mathematics and Statistics Ningxia UniversityYinchuan 750021China Department of Mathematics Yangzhou UniversityYangzhou 225009China School of Advanced Sciences Vellore Institute of TechnologyVellore 632014India

In this paper,we introduce and investigate certain subclass of analytic and univalent functions involving q-differintegral *** this function class,we give the bound estimates of the coefficients a2 and a3 and some Fekete-Szegöfunctional ***,we also estimate the corresponding symmetric Toeplitz ***,we point out some consequences and connections to these results above.

关键词： Fekete-Szegöproblem Symmetric Toeplitz determinant analytic function q-differintegral operator

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Computer Modeling in Engineering & Sciences 2022年第1期130卷 221-232页

作者： Rabha W.Ibrahim Ahmed M.Ajaj Nadia M.G.Al-Saidi Dumitru Balean Institute of Electrical and Electronics Engineers Kuala LumpurMalaysia Department of Islamic Finance and Banking College of Islamic SciencesIraqi UniversityAdhamiyahIraq Department of Applied Sciences University of TechnologyBaghdadIraq Department of Mathematics Cankaya UniversityAnkaraTurkey Institute of Space Sciences Magurele-BucharestRomania Department of Medical Research China Medical UniversityTaichungTaiwanChina

The science of strategy(game theory)is known as the optimal decision-making of autonomous and challenging players in a strategic *** are different strategies to complete the optimal *** of these strategies is the similarity *** technique is a generalization of the symmetric strategy,which depends only on the other approaches employed,which can be formulated by altering *** of these methods is the fractal *** this investigation,we present a new method studying the similarity analytic solution(SAS)of a 3D-fractal nanofluid system(FNFS).The dynamic evolution is completely given by the concept of differential subordination and *** andmajorization relationships are the sets of observable *** theory can simplify the conditions under which particular sets *** offer an explicit construction for the complex possible velocity,energy and thermal functions of two-dimensional fluid flow(the complex variable is suggested in the open unit disk,where the disk is selected at a constant temperature and concentration with uniform velocity).We establish that whenever the 3D-fractal nanofluid systemis approximated by a fractal function,the solution has the same property,so a class of fractal tangent function gives ***,we demonstrate some simulations and examples that give the consequences of this methodology.

关键词： analytic function open unit disk subordination and super-ordination fractional chaotic function similarity solution symmetry fractal fluid

analytic functions Related with the Hyperbola

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Chinese Annals of Mathematics,Series B 2013年第4期34卷 515-528页

作者： Dorina R DUCANU Faculty of Mathematics and Computer Science Transilvania University of Brasov

The author considers a new class SHλum（α） of normalized analytic functions defined by a differential operator. Several basic properties and characteristics of the functions belonging to the class SHλum（α） are investigated. These include integral rep- resentations, coefficient bounds, the Fekete^Szeg5 problem, class-preserving operators and Tg-neighborhoods.

关键词： analytic function Differential operator Hyperbolic domain Fekete-Szego problem Neighborhood

Properties of Certain Subclasses of analytic functions Involving q-Poisson Distribution

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Computer Modeling in Engineering & Sciences 2022年第6期131卷 1465-1477页

作者： Bilal Khan Zhi-Guo Liu Nazar Khan Aftab Hussain Nasir Khan Muhammad Tahir School of Mathematical Sciences and Shanghai Key Laboratory of PMMP East China Normal UniversityShanghai200241China Department of Mathematics Abbottabad University of Science and TechnologyAbbottabad22010Pakistan Department of Mathematics King Abdulaziz UniversityJeddah21589Saudi Arabia Department of Mathematics FATA UniversityAkhorwal(Darra Adam Khel)FR Kohat26000Pakistan

By using the basic(or q)-Calculus many subclasses of analytic and univalent functions have been generalized and studied from different viewpoints and *** this paper,we aim to define certain new subclasses of an analytic *** then give necessary and sufficient conditions for each of the defined function *** also study necessary and sufficient conditions for a function whose coefficients are probabilities of q-Poisson *** validate our results,some known consequences are also given in the form of Remarks and Corollaries.

关键词： analytic function q-difference operator sufficient condition q-Poisson distribution

Fourier coefficients of Zygmund functions and analytic functions with quasiconformal deformation extensions

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Science China Mathematics 2012年第3期55卷 607-624页

作者： SHEN YuLiang Department of Mathematics Soochow University Suzhou 215006 China

An open problem is to characterize the Fourier coefficients of Zygmund *** problem was also explicitly suggested by Nag and later by Teo and Takhtajan-Teo in the course of study of the universal Teichmu¨ller *** a complex analysis approach,we give a characterization for the Fourier coefficients of a Zygmund function by a quadratic *** related topics are also discussed,including those analytic functions with quasiconformal deformation extensions.

关键词： Zygmund function Fourier coefficient quasiconformal deformation analytic function

Exact n-width on the class of analytic functions in the space of continuous functions

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Progress in Natural Science:Materials International 2005年第8期15卷 761-764页

作者： FANG Gensun* and LI Xuehua(School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China) School of Mathematical Sciences Beijing Normal University Beijing 100875 China

Let ω(·) be a given concave modulus of continuity and ω(g,·) be the modulus of continuity of a function g∈C, where C is the space of 2π-periodic, continuous functions on with norm ‖f‖_C∶= maxt∈|f(t)|, r,ω__ ∞,β(r=0,1,2,…) denotes those 2π-periodic, real-valued functions f on that are analytic in the strip S_β∶=｛z∈:|Imz|0, and satisfy the restriction condition: ω(f (r),·)≤ω(·). In this paper, the exact n-width of the class of functions r,ω__ ∞,β in the space C is determined.

关键词： analytic function concave modulus of continuity n-width.

ON APPROXIMATION AND GENERALIZED TYPE OF analytic functionS OF SEVERAL COMPLEX VARIABLES

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Analysis in Theory and Applications 2011年第2期27卷 101-108页

作者： G. S. Srivastava Susheel Kumar Indian Institute of Technology Roorkee Central University of Himachal Pradesh

In the present paper, we study the polynomial approximation of analytic functions of several complex variables. The characterizations of generalized type of analytic functions of several complex variables have been ob... 详细信息

关键词： analytic function Siciak extremal function generalized type approximationerrors imterpolation errors

The Starlikeness of analytic functions of Koebe Type with Complex Order

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Journal of Mathematical Research with Applications 2018年第6期38卷 586-596页

作者： Mohd Nazran Mohammed PAUZI Maslina DARUS Saibah SIREGAR School of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan Malaysia Faculty of Engineering and Life Sciences Universiti Selangor

For α > 0, λ > 0 and β,η∈R, we consider the M（α,λ）of normalized analyticα—λ convex functions defined in the open unit disc U. In this paper we investigate the class M（α, λ,β,η）,with f:= z/（1-z）being Koebe type. By making use of Jack’s Lemma as well as several differential and other inequalities, the authors derive sufficient conditions for starlikeness of the class M（α, λ, β, η）of n-fold symmetric analytic functions of Koebe type. Relevant connections of the results presented here with those given in earlier works are also indicated.

关键词： analytic function subordination superordination Koebe type