Results 1 to 10 of about 344 (61)
On some geometric results for generalized k-Bessel functions
Demonstratio Mathematica, 2023 The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized kk-Bessel functions, such as the radii of uniform convexity and of α\alpha -convexity.
Toklu Evrim
doaj +1 more source
SERIES IN LE ROY TYPE FUNCTIONS: INEQUALITIES AND CONVERGENCE THEOREMS
, 2021 In studying the behaviour of series defined by means of the Le Roy type functions, we prove Cauchy–Hadamard type theorems. Asymptotic formulae for these new special functions in the cases of ‘large’ values of indices are also provided, as necessary in ...
J. Paneva-Konovska
semanticscholar +1 more source
Veterinary Dermatology, Volume 34, Issue 6, Page 489-494, December 2023., 2023 Background – Dilute sodium hypochlorite (bleach) baths at 0.005% concentration twice weekly have been shown to markedly reduce the severity of atopic dermatitis in children, yet no tolerability and efficacy data are available for this treatment in dogs.
Frane Banovic +4 more
wiley +1 more source
Veterinary Dermatology, Volume 33, Issue 1, Page 17-e6, February 2022., 2022 Background – Because of the increased incidence of multidrug‐resistant (MDR) bacteria, the use of disinfectants over antibiotics has been encouraged. However, the interactions between disinfectants and host local immunity are poorly understood. Objective – To assess the effects of chlorhexidine digluconate (Chx), with and without selected host defence ...
Domenico Santoro +3 more
wiley +1 more source
On the Erdős-Lax inequality concerning polynomials
Mathematical Inequalities & Applications, 2020 If P(z) is a polynomial of degree n which does not vanish in |z| < k , where k 1 , then N. K. Govil [On a theorem of S. Bernstein, Proc. Nat. Acad. Sci., 50 (1980), 50–52] proved that max |z|=1 |P′(z)| n 1+ kn max |z|=1 |P(z)|, provided |P′(z)| and |Q′(z)
G. Milovanović, A. Mir
semanticscholar +1 more source
Journal of Inequalities and Applications, 2013 By introducing the concept of XU-order functions, we study the growth of analytic functions defined by Laplace-Stieltjes transformations which converge on the right half-plane.
H. Xu, Z. Xuan
semanticscholar +2 more sources
Generalization of a theorem of Clunie and Hayman [PDF]
, 2010 Clunie and Hayman proved that if the spherical derivative ‖f ′‖ of an entire function satisfies ‖f ′‖(z) = O(|z|σ) then T (r, f) = O(rσ+1). We generalize this to holomorphic curves in projective space of dimension n omitting n hyperplanes in general ...
Matthew Barrett, A. Eremenko
semanticscholar +1 more source
Open Mathematics, 2020 Given the abstract evolution equation y′(t)=Ay(t),t∈ℝ,y^{\prime} (t)=Ay(t),t\in {\mathbb{R}}, with a scalar type spectral operator A in a complex Banach space, we find conditions on A, formulated exclusively in terms of the location of its spectrum in ...
Markin Marat V.
doaj +1 more source
Integral mean estimates for the polar derivative of polynomials whose zeros are within a circle
Journal of Inequalities and Applications, 2013 For a polynomial p(z) of degree n, having all zeros in |z|≤k, where k≤1, Dewan et al. (Southeast Asian Bull. Math. 34:69-77, 2010) proved that for every α∈C with |α|≥k and for each r>0, n(|α|−k){∫02π|p(eiθ)|rdθ}1r≤{∫02π|1+keiθ|rdθ}1rmax|z|=1|Dαp(z ...
A. Zireh +2 more
semanticscholar +2 more sources
Inequalities for the Polar Derivative of a Polynomial [PDF]
, 2009 In this paper we obtain new results concerning maximum modulus of the polar derivative of a polynomial with restricted zeros. Our results generalize and refine upon the results of Aziz and Shah [An integral mean estimate for polynomial, Indian J.
Bidkham, M. +2 more
core +4 more sources