Search Results - Differential functions on analytic spaces, differential spaces
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Chaotic semigroups for a higher order partial differential equation in Herzog-type space of analytic functions
ISSN: 0960-0779Published: Elsevier Ltd 01.12.2024Published in Chaos, solitons and fractals (01.12.2024)“… Furthermore, we provide a critical parameter that enables us to distinguish between stability and chaos within these semigroups in the Herzog-type space of analytic functions…”
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Nonlinear differential equation and analytic function spaces
ISSN: 1747-6933, 1747-6941Published: Colchester Taylor & Francis 02.01.2018Published in Complex variables and elliptic equations (02.01.2018)“… , for all . We investigate this nonlinear differential equation from two aspects. On the one hand, we provide some sufficient conditions on coefficients such that the analytic solutions of this equation belong to the space…”
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3
Cordial Volterra Integral Equations and Singular Fractional Integro-Differential Equations in Spaces of Analytic Functions
ISSN: 1392-6292, 1648-3510Published: Taylor & Francis 04.07.2017Published in Mathematical modelling and analysis (04.07.2017)“…We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions…”
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4
Euler type partial differential operators on real analytic functions
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 15.11.2016Published in Journal of mathematical analysis and applications (15.11.2016)“…We describe all Euler partial differential operators which act on the space of real analytic functions and we identify them among the Taylor multipliers on these spaces…”
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Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces
ISSN: 2314-8896, 2314-8888Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2019Published in Journal of function spaces (01.01.2019)“…This research is concerned with second-order linear differential equation f′′+A(z)f=0, where A(z) is an analytic function in the unit disc…”
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Factorization of Complex Analytic Functions Algebraically Dependent on Space Curves and Applications to Compatible Functional and Differential Equations
ISSN: 1660-5446, 1660-5454Published: Cham Springer International Publishing 01.02.2023Published in Mediterranean journal of mathematics (01.02.2023)“… We define functional and differential equations associated to space curves and study the existence and the forms of their complex analytic solutions…”
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On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator
ISSN: 2314-8896, 2314-8888Published: Cairo, Egypt Hindawi Publishing Corporation 08.01.2020Published in Journal of function spaces (08.01.2020)“… Using this new operator, we introduce two new classes of analytic functions and obtain the Fekete–Szegö inequalities…”
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The Cauchy Transform on the Bergman–Dirichlet Spaces: The Cauchy Transform on the Bergman–Dirichlet Spaces
ISSN: 1660-5446, 1660-5454Published: Cham Springer International Publishing 01.06.2025Published in Mediterranean journal of mathematics (01.06.2025)“…We show that the range of the Cauchy transform on the classical Bergman space is the reproducing kernel Hilbert space of functions in the bi-analytic Dirichlet space subject to a first-order differential equation…”
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9
New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿ
ISBN: 1470441616, 9781470441616ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2020“…The aim of this work is to adapt the complex analytic methods originating in modern Oka theory to the study of non-orientable conformal minimal surfaces in All our new tools mentioned above apply…”
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10
Analytical solution of the generalized space-time fractional ultra-hyperbolic differential equation
ISSN: 1065-2469, 1476-8291Published: Abingdon Taylor & Francis 03.04.2022Published in Integral transforms and special functions (03.04.2022)“… . The problem is solved by applying the integral transforms method and the analytical solution is given by the Fox H-function…”
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11
Inheritance of surjectivity for partial differential operators on spaces of real analytic functions
ISSN: 0022-247X, 1096-0813Published: San Diego, CA Elsevier Inc 15.09.2004Published in Journal of mathematical analysis and applications (15.09.2004)“…For an open set Ω⊂ R n let A(Ω) be the space of real analytic functions on Ω. Improving our previous results, we prove a new quantitative characterization of the linear partial differential operators P( D…”
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12
Complex linear differential equations with solutions in the H2K spaces
ISSN: 1747-6933, 1747-6941Published: Colchester Taylor & Francis Ltd 01.11.2022Published in Complex variables and elliptic equations (01.11.2022)“… . Furthermore, some sufficient conditions for coefficients of the linear differential equation are found such that all solutions belong to the spaces, where are analytic…”
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13
A New Parametric Differential Operator of p-Valently Analytic Functions
ISSN: 2314-8896, 2314-8888Published: New York Hindawi 2021Published in Journal of function spaces (2021)“…) of a class of multivalent functions in the open unit disk. Consequently, we formulate the suggested operator in some interesting classes of analytic functions to study its geometric properties…”
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14
A semi-analytical x-space solution for parton evolution — Application to non-singlet and singlet DGLAP equation
ISSN: 1029-8479, 1029-8479Published: Berlin/Heidelberg Springer Berlin Heidelberg 09.07.2024Published in The journal of high energy physics (09.07.2024)“…A bstract We present a novel semi-analytical method for parton evolution. It is based on constructing a family of analytic functions spanning x -space which is closed under the considered evolution equation…”
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15
A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator
ISSN: 2314-8896, 2314-8888Published: New York Hindawi 2021Published in Journal of function spaces (2021)“… We express the operator in observation of a class of normalized analytic functions. We deal with its geometric performance in the open unit disk…”
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On Fekete-Szego Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving g-Ruscheweyh Operator
ISSN: 2314-8896Published: John Wiley & Sons, Inc 01.01.2020Published in Journal of function spaces (01.01.2020)“… Using this new operator, we introduce two new classes of analytic functions and obtain the Fekete-Szego inequalities…”
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17
Certain Analytic Formulas Linked to Locally Fractional Differential and Integral Operators
ISSN: 2314-8896, 2314-8888Published: New York Hindawi 14.07.2022Published in Journal of function spaces (14.07.2022)“…The present investigation is aimed at defining different classes of analytic functions and conformable differential operators in view of the concept of locally fractional differential and integral operators…”
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18
Two-loop master integrals for leading-color pp→tt¯H amplitudes with a light-quark loop
ISSN: 1029-8479Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2024Published in The journal of high energy physics (01.07.2024)“… We explore properties of the function space of analytic solutions to the differential equations in terms of iterative integrals which can be exploited for studying the analytic form of related scattering amplitudes…”
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19
Elliptic Theory for Sets with Higher Co-dimensional Boundaries
ISBN: 9781470450434, 1470450437ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2022“…Many geometric and analytic properties of sets hinge on the properties of elliptic measure, notoriously missing for sets of higher co-dimension…”
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20
Hardy–Littlewood and Ulyanov inequalities
ISBN: 9781470447588, 1470447584ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2021“… More precisely, we obtained the asymptotic behavior of the quantity We also prove the Ulyanov and Kolyada-type inequalities in the Hardy spaces…”
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