Results 21 to 30 of about 626,730 (186)

Studying the Harmonic Functions Associated with Quantum Calculus

open access: yesMathematics, 2023
Using the derivative operators’ q-analogs values, a wide variety of holomorphic function subclasses, q-starlike, and q-convex functions have been researched and examined.
Abdullah Alsoboh   +3 more
doaj   +1 more source

Approximate solution for Fokker-Planck equation [PDF]

open access: yes, 2015
In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schr\"{o}dinger type equation with a partially confining and symmetrical potential.
Araujo, M. T., Filho, E. Drigo
core   +5 more sources

Inequalities of harmonic univalent functions with connections of hypergeometric functions

open access: yesOpen 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

Frequency-Domain Analysis of Linear Time-Periodic Systems [PDF]

open access: yes, 2004
In this paper, we study convergence of truncated representations of the frequency-response operator of a linear time-periodic system. The frequency-response operator is frequently called the harmonic transfer function. We introduce the concepts of input,
Bernhardsson, Bo   +2 more
core   +1 more source

ON REGULARITY THEOREMS FOR LINEARLY INVARIANT FAMILIES OF HARMONIC FUNCTIONS

open access: yesПроблемы анализа, 2015
The classical theorem of growth regularity in the class S of analytic and univalent in the unit disc ∆ functions ƒ describes the growth character of different functionals of ƒ Є S and z Є ∆ as z tends to δ∆.
E. G. Ganenkova, V. V. Starkov
doaj   +1 more source

Poisson type inequalities with respect to a cone and their applications

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we establish new Poisson type inequalities with respect to a cone. As applications, the integral representations of harmonic functions are also obtained.
Chang Shu   +2 more
doaj   +1 more source

Revisiting Taibleson's theorem

open access: yesElectronic Research Archive, 2022
A new characterization of the weighted Taibleson's theorem for generalized Hölder spaces is given via a Hadamard-Liouville type operator (Djrbashian's generalized fractional operator).
Humberto Rafeiro, Joel E. Restrepo
doaj   +1 more source

On the asymptotic events of a Markov chain

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1979
In this paper we investigate some structure properties of the tail σ-field and the invariant σ-field of both homogeneous and nonhomogeneous Markov chains as representations for asymptotic events, descriptions of completely nonatomic and atomic sets and ...
Harry Cohn
doaj   +1 more source

Fourier coefficients and growth of harmonic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its ...
A. fryant, H. Shankar
doaj   +1 more source

The tri-harmonic Neumann problem

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
In this article investigated the tri-harmonic Neumann function for the unit dics. For harmonics functions the Neumann’s boundary problem is well studied and solved under certain conditions through Neumann’s function, sometimes it is also called Green’s ...
S. Burgumbayeva
doaj   +1 more source

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