Results 21 to 30 of about 624,684 (237)
Complexity, 2020 We investigate the behavior of the unbounded cylinder function Fx=∫0Tα1tdxt2k⋅∫0Tα2tdxt2k⋅⋯⋅∫0Tαntdxt2k, k=1,2,… whose analytic Wiener integral and analytic Feynman integral exist, we prove some relationships among the analytic Wiener integral, the ...
Kim Young Sik
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AIMS Mathematics, 2023 The results from this paper are related to the geometric function theory. In order to obtain them, we use the technique based on the properties of the differential subordination and superordination one of the newest techniques used in this field, we ...
Ekram E. Ali +2 more
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Schur analysis and discrete analytic functions: Rational functions and co-isometric realizations [PDF]
arXiv, 2021 We define and study rational discrete analytic functions and prove the existence of a coisometric realization for discrete analytic Schur multipliers.
arxiv
Concerning a Novel Integral Operator and a Specific Category of Starlike Functions
Mathematics, 2023 In this study, a novel integral operator that extends the functionality of some existing integral operators is presented. Specifically, the integral operator acts as the inverse operator to the widely recognized Opoola differential operator.
Ayotunde Olajide Lasode +4 more
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Theory of certain Non-Univalent Analytic functions [PDF]
arXiv, 2022 We investigate the non-univalent function's properties reminiscent of the theory of univalent starlike functions. Let the analytic function $\psi(z)=\sum_{i=1}^{\infty}A_i z^i$, $A_1\neq0$ be univalent in the unit disk. Non-univalent functions may be found in the class $\mathcal{F}(\psi)$ of analytic functions $f$ of the form $f(z)=z+\sum_{k=2}^{\infty}
arxiv
A Modified Analytic Function Space Feynman Integral and Its Applications
Journal of Function Spaces, 2014 We analyze the generalized analytic function space Feynman integral and then defined a modified generalized analytic function space Feynman integral to explain the physical circumstances.
Seung Jun Chang +2 more
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Axioms, 2022 In this paper, we introduce a new class of analytic functions subordinated by functions which is not Carathéodory. We have obtained some interesting subordination properties, inclusion and integral representation of the defined function class.
Kadhavoor R. Karthikeyan +2 more
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Inequalities of harmonic univalent functions with connections of hypergeometric functions
Open Mathematics, 2015 Let SH be the class of functions f = h+g that are harmonic univalent and sense-preserving in the open unit disk U = { z : |z| < 1} for which f (0) = f'(0)-1=0. In this paper, we introduce and study a subclass H( α, β) of the class SH and the subclass NH(
Sokół Janusz +3 more
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Fractal and Fractional, 2022 The results contained in this paper are the result of a study regarding fractional calculus combined with the classical theory of differential subordination established for analytic complex valued functions.
Georgia Irina Oros +2 more
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Certain properties of a class of analytic functions involving the Mathieu type power series
AIMS Mathematics, 2023 In this paper, we studied some geometric properties of a class of analytic functions related to the generalized Mathieu type power series. Furthermore, we have identified interesting consequences and some examples accompanied by graphical representations
Abdulaziz Alenazi, Khaled Mehrez
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