Results 81 to 90 of about 6,158,527 (245)
A new result for entire functions and their shifts with two shared values
Open MathematicsLet ff be a transcendental entire function of hyperorder strictly less than 1, and let cc be a nonzero finite complex number. We prove that if f(z)f\left(z) and f(z+c)f\left(z+c) partially share 0, 1 ignoring multiplicity (i.e., E¯(0,f(z))⊆E¯(0,f(z+c ...
Xu Aizhu, Lin Peiqiang, Chen Shengjiang
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Researches in MathematicsThe work is devoted to the study of algebras of entire symmetric functions on Cartesian products of real and complex Banach spaces of Lebesgue integrable functions.
R.V. Ponomarov, T.V. Vasylyshyn
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Establishing a comprehensive apheresis medicine program in a resource‐constrained setting presents significant structural, financial, and logistical challenges. Despite the growing clinical importance of apheresis services globally, published experience from sub‐Saharan Africa remains sparse.
Folasade Adelekan‐Popoola +4 more
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On entire solutions with a two-member recurrent formula for Taylor's coefficients of linear differential equations [PDF]
Математичні Студії, 2011 It is proved that the differential equation$$z^nw^{(n)}+(a_1^{(n-1)}z+a_2^{(n-1)})z^{n-1}w^{(n-1)}+ sum_{k=0}^{n-2}{(a_{n-1-k}^{(k)}z^2+a_{n-k}^{(k)}z+a_{n+1-k}^{(k)})z^kw^{(k)}}=0$$has an entire solution $f$ with a two-member recurrent formulafor its ...
Ya. S. Mahola
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Maintenance hemodialysis (MHD) patients frequently suffer from frailty, characterized by reduced physical function and poor prognosis. Myokines, such as myonectin, secreted by muscle, are emerging regulators of systemic health. This study investigated the relationship between serum myonectin, adipokines (adiponectin, omentin), and ...
Kenichi Kono +7 more
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Approximation of entire functions of slow growth on compact sets [PDF]
, 1981 summary:In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of ...
Kapoor, G.P. +3 more
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Some Results on Composition of Analytic Functions in a Unit Polydisc
Universal Journal of Mathematics and ApplicationsThe manuscript is an attempt to consider all methods which are applicable to investigation a directional index for composition of an analytic function in some domain and an entire function.
Petro Kurliak +2 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo +5 more
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Demonstratio MathematicaThis article focuses on describing the entire solutions of complex nonlinear partial differential equation (systems) with two variables. Utilizing Nevanlinna theory along with the Hadamard factorization theory of meromorphic functions, we derive several ...
Chen Yu Bin, Jiao Xin, Xu Hong Yan
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Composition of entire function and analytic functions in the unit ball with a vanished gradient
Математичні СтудіїThe composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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