Results 11 to 20 of about 40,728 (213)
Polar growth in the Alphaproteobacterial order Rhizobiales [PDF]
Proceedings of the National Academy of Sciences, 2012 Elongation of many rod-shaped bacteria occurs by peptidoglycan synthesis at discrete foci along the sidewall of the cells. However, within the Rhizobiales, there are many budding bacteria, in which new cell growth is constrained to a specific region.
Brown, Pamela J. B. +7 more
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Infinite Order of Growth of Solutions of Second Order Linear Differential Equations
The Journal of the Indian Mathematical Society, 2022 We consider the di?erential equation f'' +A(z)f' +B(z)f = 0, where A(z) and B(z) are entire complex functions. We improve various restrictions on coe?cients A(z) and B(z) and prove that all non-trivial solutions are of in?nite order.
Mehra, Naveen, Pande, V. P.
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On growth order of solutions of differential equations in a neighborhood of a branch point [PDF]
Математичні Студії, 2013 Let $M_k$ be {the} set of $k$-valued meromorphic in$G={zcolon r_0leqslant |z|}$ functions with {a}~branch point of order$k-1$ {at} $infty$; let $E_ast$ be a set of circles {with finite} sum of radii.
A. Z. Mokhonko, A. A. Mokhonko
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper, we investigate the order and the hyper-order of growth of solutions of the linear differential equation where n≥2 is an integer, Aj (z) (≢0) (j = 1,2) are entire functions with max {σ A(j) : (j = 1,2} < 1, Q (z) = qmzm + ... + q1z + q0 is
Belaïdi Benharrat, Habib Habib
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Hyper-order and fixed points of meromorphic solutions of higher order linear differential equations
Arab Journal of Mathematical Sciences, 2016 The purpose of this paper is to study the growth and fixed points of meromorphic solutions and their derivatives to complex higher order linear differential equations whose coefficients are meromorphic functions.
Habib Habib, Benharrat Belaïdi
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Growth of order in an anisotropic Swift-Hohenberg model [PDF]
Physical Review E, 2006 We have studied the ordering kinetics of a two-dimensional anisotropic Swift-Hohenberg (SH) model numerically. The defect structure for this model is simpler than for the isotropic SH model. One finds only dislocations in the aligned ordering striped system.
Qian, Hai, Mazenko, Gene F.
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Nonharmonic Gabor Expansions [PDF]
Journal of Sciences, Islamic Republic of Iran, 2014 We consider Gabor systems generated by a Gaussian function and prove certain classical results of Paley and Wiener on nonharmonic Fourier series of complex exponentials for the Gabor expansion.
M. Amini
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On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices
Journal of Function Spaces, 2020 In this paper, we establish an explicit relation between the growth of the maximum modulus and the Taylor coefficients of entire functions in several complex matrix variables (FSCMVs) in hyperspherical regions.
M. Abul-Ez +3 more
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Singularities and growth of higher order discrete equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe study the link between the degree growth of integrable birational mappings of order higher than two and their singularity structures. The higher order mappings we use in this study are all obtained by coupling mappings that are integrable through ...
Ralph Willox +3 more
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Generalized (α,β) order based on some growth properties of wronskians
Математичні Студії, 2020 In this paper the comparative growth properties of composition of entire and meromorphic functions on the basis of their generalized (α,β) order and generalized lower (α,β) order of Wronskians generated by entire and meromorphic functions have been ...
T. Biswas, C. Biswas
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