Results 21 to 30 of about 650,601 (249)
An extremal harmonic function [PDF]
Proceedings of the American Mathematical Society, 1969 surface 3x=h-'(X) and D(u; X) for the Dirichlet integral over the region ix bounded by a and fi. The main result of this paper is the inequality: maxhJ|Qx=m(h; X)=D(h; X)
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On the truncation of the harmonic oscillator wavepacket [PDF]
, 2005 We present an interesting result regarding the implication of truncating the wavepacket of the harmonic oscillator. We show that disregarding the non-significant tails of a function which is the superposition of eigenfunctions of the harmonic oscillator ...
Ali S T +11 more
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The tri-harmonic Neumann problem
Қарағанды 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
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ComTech, 2011 Computer graphics is a science widely used in any areas. Its up-to-date technique is applied to solve image problems related to needs of customer and decision-making.
Djunaidy Santoso +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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An Analytical Dataset of Approaches to V in Mozart
Empirical Musicology Review, 2023 Tonal functions—tonic, pre-dominant, and dominant—are a standard feature of North American music theory. The pre-dominant (PD) encompasses the largest number of chords, varying in quality and scale degrees; unlike the tonic and dominant functions, it is ...
Jenine Brown, Daphne Tan, Michelle Lin
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Time-frequency plane behavioural studies of harmonic and chirp functions with fractional Fourier transform (FRFT) [PDF]
Maejo International Journal of Science and Technology, 2009 The behaviour of harmonic and chirp functions was studied on the time-frequency plane with the help of fractional Fourier transform (FRFT). Studies were also carried out through simulation with different numbers of samples of the functions.
Rajshree Mishra
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Poisson type inequalities with respect to a cone and their applications
Journal 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
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ON REGULARITY THEOREMS FOR LINEARLY INVARIANT FAMILIES OF HARMONIC FUNCTIONS
Проблемы 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
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Thermodynamics of the Harmonic Oscillator: Wien's Displacement Law and the Planck Spectrum
, 2002 A thermodynamic analysis of the harmonic oscillator is presented. Motivation for the study is provided by the blackbody radiation spectrum; when blackbody radiation is regarded as a system of noninteracting harmonic oscillator modes, the thermodynamics ...
Boyer, Timothy H.
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