Geometric process solving a class of analytic functions using q-convolution differential operator
Journal of Taibah University for Science, 2020 In current realization, our object is to use the convolution product in terms of the notion quantum calculus to deliver a propagated q-derivative factor taking a more generalized Sàlàgean formula. By joining both the new factor together with the Janowski
Rabha W. Ibrahim
doaj +1 more source
On the use of the generalized Littlewood theorem concerning integrals of the logarithm of analytical functions for calculations of infinite sums and analysis of zeroes of analytical functions [PDF]
arXiv, 2022 Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem is applied to calculate certain infinite sums and study the properties of zeroes of a few analytical functions.
arxiv
Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction
Axioms, 2020 Let b∈Cn\{0} be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e., we study functions that are analytic in the intersection of every slice {z0+tb:t∈C} with the unit ball Bn={z∈C:|z|:=|z|12 ...
Andriy Bandura +2 more
doaj +1 more source
Real Analytic Generalized Functions [PDF]
arXiv, 2007 Real analytic generalized functions are investigated as well as the analytic singular support and analytic wave front of a generalized function in $\mathcal{G}(\Omega)$ are introduced and described.
arxiv
Growth of Log-Analytic Functions [PDF]
Archiv der Mathematik 120 (2023) no. 6, 605-614, 2023 We show that unary log-analytic functions are polynomially bounded. In the higher dimensional case globally a log-analytic function can have exponential growth. We show that a log-analytic function is polynomially bounded on a definable set which contains the germ of every ray at infinity.
arxiv
On the non-analyticity locus of an arc-analytic function [PDF]
arXiv, 2009 In this paper we show that the non-analyticity locus of an arc-analytic function is arc-symmetric. Recall that a function is called arc-analytic if it is real analytic on each real analytic arc. By a result of Bierstone and Milman a big class of arc-analytic function, namely those that satisfy a polynomial equation with real analytic coefficients ...
arxiv
Differential sandwich theorems of p−valent analytic functions involving a linear operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper we derive some subordination and superordination results for certain p-valent analytic functions in the open unit disc, which are acted upon by a class of a linear operator.
Aouf M. K., Seoudy T. M.
doaj +1 more source
Checking real analyticity on surfaces [PDF]
arXiv, 2018 We prove that a real-valued function (that is not assumed to be continuous) on a real analytic manifold is analytic whenever all its restrictions to analytic submanifolds homeomorphic to the 2-sphere are analytic. This is a real analog for the classical theorem of Hartogs that a function on a complex manifold is complex analytic iff it is complex ...
arxiv
Some properties of multivalent analytic functions associated with an integral operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let A(p) denote the class of functions of the form f(z) = zp Σ∞k=1+p akzk (p ∈ N = {1, 2, 3,...}) which are analytic in the open unit disk U = {z : z ∈ C and |z| < 1} By making use of the Noor integral operator, we obtain some interesting properties of ...
Xu Yi-Hui, Yan Cai-Mei
doaj +1 more source
A new family of analytic functions defined by means of Rodrigues type formula [PDF]
arXiv, 2016 In this article, a class of analytic functions is investigated and their some properties are established. Several recurrence relations and various classes of bilinear and bilateral generating functions for these analytic functions are also derived.
arxiv