Results 11 to 20 of about 621,740 (291)
Радіоелектронні і комп'ютерні системи, 2022 The subject of study is the Green's functions of the first and second boundary value problems for the Laplace equation. The study constructs the Green's functions of the first and second boundary value problems for the Laplace equation in space with a ...
Oleksii Nikolaev +2 more
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Harmonic numbers, harmonic series and zeta function
Moroccan Journal of Pure and Applied Analysis, 2018 This paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the Riemann hypothesis. We give an account on the theorem of G. Robin, as formulated by J. Lagarias.
Sebbar Ahmed
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Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions
Mathematics, 2020 The theory of differential subordinations has been extended from the analytic functions to the harmonic complex-valued functions in 2015. In a recent paper published in 2019, the authors have considered the dual problem of the differential subordination ...
Georgia Irina Oros
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Studying the Harmonic Functions Associated with Quantum Calculus
Mathematics, 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
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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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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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Revisiting Taibleson's theorem
Electronic 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
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On the asymptotic events of a Markov chain
International 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
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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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Harmonicity of a function via harmonicity of its spherical means [PDF]
arXiv, 2021 It is proved that harmonic functions are characterized by harmonicity of their spherical means, for which purpose the iterated spherical means are used. The similar characterization of solutions to the modified Helmholtz equation (panharmonic functions) is given.
arxiv