Results 21 to 30 of about 834,366 (192)
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
doaj +1 more source
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
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
doaj +1 more source
Fractal and Fractional, 2023 Some well-known authors have extensively used orthogonal polynomials in the framework of geometric function theory. We are motivated by the previous research that has been conducted and, in this study, we solve the Fekete–Szegö problem as well as give ...
Sadia Riaz +5 more
doaj +1 more source
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
doaj +1 more source
AIMS Mathematics, 2020 Pseudo is a force applied on a function to show the positive or negative effect of it on a class of function defined. The paper aims to investigate the coefficient inequalities for pseudo subclasses of analytical functions related to Petal type domains ...
S. O. Olatunji, Hemen Dutta
doaj +1 more source
A new parametric differential operator generalized a class of d'Alembert's equations
Journal of Taibah University for Science, 2021 The studies in operator theory are attracting many researchers. The central aim of this investigation is to formulate a special parametric differential operator (PDO) based on the error function in the open unit disk. The suggested operator is related to
Ibtisam Aldawish, Rabha W. Ibrahim
doaj +1 more source
New Properties of Analytic Functions
MathematicsIn the present paper, we consider the class A¯ of functions f(z) of the form f(z)=z+∑k=1∞a1+k3z1+k3 that are analytic in the open unit disc U. If a1+k3=0 for k≠3n(n=1,2,3,⋯), then f(z) is given by f(z)=z+∑k=2∞akzk.
Hatun Özlem Güney, Shigeyoshi Owa
doaj +1 more source
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
doaj +1 more source